texlive[71130] Master/texmf-dist: tkz-elements (29apr24)
commits+karl at tug.org
commits+karl at tug.org
Mon Apr 29 22:31:34 CEST 2024
Revision: 71130
https://tug.org/svn/texlive?view=revision&revision=71130
Author: karl
Date: 2024-04-29 22:31:34 +0200 (Mon, 29 Apr 2024)
Log Message:
-----------
tkz-elements (29apr24)
Modified Paths:
--------------
trunk/Master/texmf-dist/doc/latex/tkz-elements/README.md
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-circle.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-ellipse.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-line.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-point.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-regular.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-triangle.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-examples.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-main.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-organization.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-presentation.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-structure.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transfers.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.pdf
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.pdf
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.pdf
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.pdf
trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.tex
trunk/Master/texmf-dist/doc/latex/tkz-elements/tkz-elements.pdf
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz-elements.sty
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_circle.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_class.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_ellipse.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_circles.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_intersections.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_lines.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_maths.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_matrices.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_points.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_regular.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_triangles.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_line.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_main.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_matrices.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_misc.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_parallelogram.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_point.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_quadrilateral.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_rectangle.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_regular.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_square.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_triangle.lua
trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_vector.lua
Removed Paths:
-------------
trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transferts.tex
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/README.md
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/README.md 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/README.md 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,12 +1,12 @@
# tkz-elements — for euclidean geometry
-Release 2.20c 2024/03/26
+Release 2.25c 2024/04/28
## Description
-`tkz-elements v.2.20c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
+`tkz-elements v.2.25c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
- The main possibility of programmation proposed is oriented "object programming" with object classes like point, line, triangle, circle and ellipse. For the moment, once the calculations are done, it is `tkz-euclide` or `TikZ` which allows the drawings.
+ The main possibility of programmation proposed is oriented "object programming" with object classes like point, line, triangle, circle and ellipse. For the moment, once the calculations are done, it is `tkz-euclide` or `TikZ` which allows the drawings. You can use the option `mini` with `tkz-euclide` to load only the modules required for tracing.
## Licence
@@ -39,7 +39,9 @@
your LaTeX document:
```
-\usepackage{tkz-euclide,tkz-elements}
+% !TEX TS-program = lualatex
+\usepackage[mini]{tkz-euclide}
+\usepackage{tkz-elements}
\begin{document}
\begin{tkzelements}
your code
@@ -60,27 +62,32 @@
are on the site.
## History
+ - version 2.25c
+ - French documentation at my site: [http://altermundus.fr](http://altermundus.fr)
+ - Added `colinear_at` a new method for the classe `line`
+ - Added `cevian`, `pedal`, `conway_circle`, `conway_points` new methods to the class `triangle`.
+
- version 2.20c
- - Package:
- - Added class matrix; methods are mainly of order 2, sometimes of order 3.
- - Added function solve_quadratic. This function can be used to solve second-degree equations with real or complex numbers.
- - Added method print for the class point. Example z.A : print ()
- - Correction of the macro tkzDN. I deleted a spurious space
- - Modification of vector class attributes. Attributes h and t become head and tail.
- - The mtx attribute is introduced for point and vector.
- z.A.mtx represents the column matrix whose coefficients are the point's coordinates. Same for vectors.
- - Documentation:
- - Rewriting of all texts
- - Correction of example: pentagon
- - Documentation about matrices
+ - Package:
+ - Added class matrix; methods are mainly of order 2, sometimes of order 3.
+ - Added function solve_quadratic. This function can be used to solve second-degree equations with real or complex numbers.
+ - Added method print for the class point. Example z.A : print ()
+ - Correction of the macro tkzDN. I deleted a spurious space
+ - Modification of vector class attributes. Attributes h and t become head and tail.
+ - The mtx attribute is introduced for point and vector.
+ z.A.mtx represents the column matrix whose coefficients are the point's coordinates. Same for vectors.
+ - Documentation:
+ - Rewriting of all texts
+ - Correction of example: pentagon
+ - Documentation about matrices
- version 2.00c
- - class development “vector”
- - added attribute “vec”
- - added “at” and “orthogonal” methods to the class “point”
+ - class development `vector`
+ - added attribute `vec`
+ - added `at` and `orthogonal` methods to the class `point`
- rewriting the function angle\_normalize\_
- - modification of the slope attribute for the “line”, now the result is normalized.
+ - modification of the slope attribute for the `line`, now the result is normalized.
- the angles of a triangle are also normalized
- added function format\_number(number,decimal) sets the number of digits in the decimal part.
- added \tkzDN a macro pour formater les nombres dans la partie TikZ
@@ -115,7 +122,7 @@
- method trilinear (to use trilinear coordinates)
- method barycentric (to use barycentric coordinates)
- Added some functions
- - bisector (a,b,c) altitude (a,b,c) bisector_ext(a,b,c) equilateral (a,b) midpoint (a,b) to avoid creating unnecessary objects.
+ - `bisector (a,b,c)` `altitude (a,b,c)` `bisector_ext(a,b,c)` `equilateral (a,b)` `midpoint (a,b)` to avoid creating unnecessary objects.
- Added new examples and a cheat sheet in the documentation
@@ -133,72 +140,55 @@
- version 1.60c
- added Internal and external tangents common to two circles:
- - function circle : `external_tangent`(C)
- - function circle : `internal_tangent(C)
+ - function circle : `external_tangent(C)`
+ - function circle : `internal_tangent(C)`
- radical_center and radical_circle are also valid for two circles
- - function `radical_center` (C1,C2,C3)
- - function `radical_circle` (C1,C2,C3)
- - function `circles_position` (C1,C2)
- - function `midcircle` (C1,C2) powerful tool for working with inversions
+ - function `radical_center (C1,C2,C3)`
+ - function `radical_circle (C1,C2,C3)`
+ - function `circles_position (C1,C2)`
+ - function `midcircle (C1,C2)` powerful tool for working with inversions
- Bug corrected in midarc now use get_angle instead of get_angle_
- Modification of a triangle attribute `ca` replaces `ac` to designate the line passing through the third and first points
- - The center of symmetry of a parallelogram is named "center" instead of "i".
+ - The center of symmetry of a parallelogram is named "center" instead of `i`.
- Correction documentation
- Correction of examples using the circle:point (k) method, where k is now a real number rather than an angle.
- version 1.50c Correction of the documentation
- - Added "swap" option to create triangles from the "line" object.
- - "iscyclic" is a new method to know if a quadrilateral is inscribable in a circle.
- - Added function "diameter" to create a circle.
- - Added function "swap" to swap two points.
- - Correction method "gold" of object rectangle.
- - Correction method "in_circle_" of object triangle.
- - Correction method "incentral_tr_" of object triangle.
- - Added method "soddy_center" of object triangle.
- - Added option "swap" for method "square" of object line.
- - Added method "report" for object line. Transfer a defined length from a point
- - Added option "swap" to the function "square : side"
+ - Added `swap` option to create triangles from the "line" object.
+ - `iscyclic` is a new method to know if a quadrilateral is inscribable in a circle.
+ - Added function `diameter` to create a circle.
+ - Added function `swap` to swap two points.
+ - Correction method `gold` of object rectangle.
+ - Correction method `in_circle_` of object triangle.
+ - Correction method `incentral_tr_` of object triangle.
+ - Added method `soddy_center` of object triangle.
+ - Added option `swap` for method `square` of object line.
+ - Added method `report` for object line. Transfer a defined length from a point
+ - Added option `swap` to the function "square : side"
- Version 1.40c Restructuring objects
- New version for all transformations. Now, they accept all objects as parameters.
-
- Symmetry_axial has changed its name to reflection.
-
- Added scale to north south etc.. (point object).
-
- Change the "point" method of the objects circle and ellipse. now the parameter is un real t (between 0 and 1) and not an angle
-
- Added the method `check_equilateral` to know if a triangle is equilateral.
-
-
- Added option "indirect" to the method equilateral for a line object.
-
- Correction of the documentation. (Added sections).
-
-
-
-
+ - New version for all transformations. Now, they accept all objects as parameters.
+ - Symmetry_axial has changed its name to reflection.
+ - Added scale to north south etc.. (point object).
+ - Change the "point" method of the objects circle and ellipse. now the parameter is un real t (between 0 and 1) and not an angle
+ - Added the method `check_equilateral` to know if a triangle is equilateral.
+ - Added option "indirect" to the method equilateral for a line object.
+ - Correction of the documentation. (Added sections).
+
- Version 1.20 Memory management: tables are emptied when the tkzelements environment is opened.
- `set_lua_to_tex` has been replaced by `tkzUseLua` to transfer data between the `tkzelements` and `tikzpicture` environments.
-
- New version of `inversion` with respect to a circle method. It selects the correct algorithm based on the object passed as a parameter.
-
- Added an `in_out_disk` method for the `circle` object, which indicates whether or not a point is in the disk. `in_out` is for the circle.
-
- Added two methods: `radical_center (C1,C2,C3)` radical center of three circles.
- `radical_circle (C1,C2,C3)` orthogonal circle of three circles.
-
- Added function `circle : radius` to define a circle with a centre and a radius.
-
- Added methods `normalize` and `normalize_inv` for `line`.
-
- Added methods `translation` and `set_translation` to the `line` object.
-
- Added an example to illustrate combinations of methods and attributes.
+ - `set_lua_to_tex` has been replaced by `tkzUseLua` to transfer data between the `tkzelements` and `tikzpicture` environments.
+ - New version of `inversion` with respect to a circle method. It selects the correct algorithm based on the object passed as a parameter.
+ - Added an `in_out_disk` method for the `circle` object, which indicates whether or not a point is in the disk. `in_out` is for the circle.
+ - Added two methods: `radical_center (C1,C2,C3)` radical center of three circles.
+ `radical_circle (C1,C2,C3)` orthogonal circle of three circles.
+ - Added function `circle : radius` to define a circle with a centre and a radius.
+ - Added methods `normalize` and `normalize_inv` for `line`.
+ - Added methods `translation` and `set_translation` to the `line` object.
+ - Added an example to illustrate combinations of methods and attributes.
- First version 1.00b
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-circle.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-circle.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-circle.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -121,9 +121,9 @@
\midrule
\textbf{Circles}& &\\
\midrule
-\Imeth{circle}{orthogonal\_from (pt)} & |C = C.OA: orthogonal_from (z.P)| & Refer to (\ref{ssub:altshiller} ; \ref{sub:common_tangent_orthogonality} ; \ref{sub:orthogonal_circles_v1} ; \ref{sub:pencil_v1}) \\
-\Imeth{circle}{orthogonal\_through (pta,ptb)} & |C = C.OA: orthogonal_through (z.z1,z.z2)| & Refer to (\ref{sub:orthogonal_circle_through})\\
-\Imeth{circle}{inversion (...)} & | C.AC: inversion (pt, pts, L or C )|& Refer to \ref{ssub:inversion}, \ref{ssub:inversion_point}, \ref{ssub:inversion_line}, \ref{ssub:inversion_circle}\\
+\Imeth{circle}{orthogonal\_from (pt)} &|C=C.OA:orthogonal_from (z.P)| & Refer to (\ref{ssub:altshiller} ; \ref{sub:common_tangent_orthogonality} ; \ref{sub:orthogonal_circles_v1} ; \ref{sub:pencil_v1}) \\
+\Imeth{circle}{orthogonal\_through (pta,ptb)}&|C=C.OA:orthogonal_through (z.z1,z.z2)| & Refer to (\ref{sub:orthogonal_circle_through})\\
+\Imeth{circle}{inversion (...)} &|C.AC:inversion (pt, pts, L or C)|& Refer to \ref{ssub:inversion}, \ref{ssub:inversion_point}, \ref{ssub:inversion_line}, \ref{ssub:inversion_circle}\\
\Imeth{circle}{midcircle (C)} & |C.inv = C.OA: midcircle (C.EF)| & Refer to \ref{ssub:midcircle} \\
\Imeth{circle}{radical\_circle (C1<,C2>)} & or only (C1) & Refer to \ref{sub:radical_circle}\\
\midrule
@@ -208,7 +208,7 @@
\begin{minipage}{.5\textwidth}
\begin{Verbatim}
\begin{tkzelements}
- scale = 1.6
+ scale = 1.25
z.A = point: new (1,0)
z.B = point: new (5,2)
z.C = point: new (1.2,2)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-ellipse.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-ellipse.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-ellipse.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -56,23 +56,6 @@
z.Co = E.covertex
z.Ve = E.vertex
\end{tkzelements}
-\begin{tikzpicture}
- \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
- \tkzGetNodes
- \tkzDrawCircles[teal](C,A)
- \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
- \tkzUseLua{slope})
- \tkzDrawPoints(C,A,B,b,W,S,F1,F2)
- \tkzLabelPoints(C,A,B)
- \tkzDrawLine[add = .5 and .5](A,W)
- \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
- slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
- \tkzLabelPoint[below](S){South}
- \tkzLabelPoint[below left](F1){Focus 1}
- \tkzLabelPoint[below left](F2){Focus 2}
- \tkzLabelPoint[above right](Ve){Vertex ; East}
- \tkzLabelPoint[above right](Co){Covertex ; North}
-\end{tikzpicture}
\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
@@ -96,9 +79,8 @@
z.Co = E.covertex
z.Ve = E.vertex
\end{tkzelements}
- \hspace*{\fill}
\begin{tikzpicture}
- \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
+\pgfkeys{/pgf/number format/.cd,fixed,precision=2}
\tkzGetNodes
\tkzDrawCircles[teal](C,A)
\tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{slope})
@@ -113,6 +95,28 @@
\tkzLabelPoint[above right](Co){Covertex ; North}
\end{tikzpicture}
\end{minipage}
+
+\begin{Verbatim}
+\begin{tikzpicture}
+ \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
+ \tkzGetNodes
+ \tkzDrawCircles[teal](C,A)
+ \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
+ \tkzUseLua{slope})
+ \tkzDrawPoints(C,A,B,b,W,S,F1,F2)
+ \tkzLabelPoints(C,A,B)
+ \tkzDrawLine[add = .5 and .5](A,W)
+ \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
+ slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
+ \tkzLabelPoint[below](S){South}
+ \tkzLabelPoint[below left](F1){Focus 1}
+ \tkzLabelPoint[below left](F2){Focus 2}
+ \tkzLabelPoint[above right](Ve){Vertex ; East}
+ \tkzLabelPoint[above right](Co){Covertex ; North}
+\end{tikzpicture}
+\end{Verbatim}
+
+
% \caption{Class Ellipse}
% subsection attributes_of_an_ellipse (end)
@@ -202,46 +206,7 @@
The first two points are the foci of the ellipse, and the third one is the vertex. We can deduce all the other characteristics from these points.
\emph{The function launches the |new| method, defining all the characteristics of the ellipse.}
-\begin{tkzelements}
- scale =1
- z.A = point: new (0 , 0)
- z.B = point: new (5 , 1)
- L.AB = line : new (z.A,z.B)
- z.C = point: new (.8 , 3)
- T.ABC = triangle: new (z.A,z.B,z.C)
- z.N = T.ABC.eulercenter
- z.H = T.ABC.orthocenter
- z.O = T.ABC.circumcenter
- _,_,z.Mc = get_points (T.ABC: medial ())
- L.euler = line: new (z.H,z.O)
- C.circum = circle: new (z.O,z.A)
- C.euler = circle: new (z.N,z.Mc)
- z.i,z.j = intersection (L.euler,C.circum)
- z.I,z.J = intersection (L.euler,C.euler)
- E = ellipse: foci (z.H,z.O,z.I)
- L.AH = line: new (z.A,z.H)
- z.X = intersection (L.AH,C.circum)
- L.XO = line: new (z.X,z.O)
- z.R,z.S = intersection (L.XO,E)
- a,b = E.Rx,E.Ry
- ang = math.deg(E.slope)
-\end{tkzelements}
-\hspace*{\fill}
-\begin{tikzpicture}
-\tkzGetNodes
-\tkzDrawPolygon(A,B,C)
-\tkzDrawCircles[cyan](O,A N,I)
-\tkzDrawSegments(X,R A,X)
-\tkzDrawEllipse[red](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
-\tkzDrawLines[add=.2 and .5](I,H)
-\tkzDrawPoints(A,B,C,N,O,X,H,R,S,I)
-\tkzLabelPoints[above](C,X)
-\tkzLabelPoints[above right](N,O)
-\tkzLabelPoints[above left](R)
-\tkzLabelPoints[left](A)
-\tkzLabelPoints[right](B,I,S,H)
-\end{tikzpicture}
-\hspace*{\fill}
+\begin{minipage}{.5\textwidth}
\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
@@ -267,6 +232,50 @@
ang = math.deg(E.slope)
\end{tkzelements}
\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ scale =1
+ z.A = point: new (0 , 0)
+ z.B = point: new (5 , 1)
+ L.AB = line : new (z.A,z.B)
+ z.C = point: new (.8 , 3)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ z.N = T.ABC.eulercenter
+ z.H = T.ABC.orthocenter
+ z.O = T.ABC.circumcenter
+ _,_,z.Mc = get_points (T.ABC: medial ())
+ L.euler = line: new (z.H,z.O)
+ C.circum = circle: new (z.O,z.A)
+ C.euler = circle: new (z.N,z.Mc)
+ z.i,z.j = intersection (L.euler,C.circum)
+ z.I,z.J = intersection (L.euler,C.euler)
+ E = ellipse: foci (z.H,z.O,z.I)
+ L.AH = line: new (z.A,z.H)
+ z.X = intersection (L.AH,C.circum)
+ L.XO = line: new (z.X,z.O)
+ z.R,z.S = intersection (L.XO,E)
+ a,b = E.Rx,E.Ry
+ ang = math.deg(E.slope)
+ \end{tkzelements}
+ \hspace*{\fill}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawCircles[cyan](O,A N,I)
+ \tkzDrawSegments(X,R A,X)
+ \tkzDrawEllipse[red](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
+ \tkzDrawLines[add=.2 and .5](I,H)
+ \tkzDrawPoints(A,B,C,N,O,X,H,R,S,I)
+ \tkzLabelPoints[above](C,X)
+ \tkzLabelPoints[above right](N,O)
+ \tkzLabelPoints[above left](R)
+ \tkzLabelPoints[left](A)
+ \tkzLabelPoints[right](B,I,S,H)
+ \end{tikzpicture}
+ \hspace*{\fill}
+\end{minipage}
+
\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
@@ -283,11 +292,7 @@
\tkzLabelPoints[left](A)
\tkzLabelPoints[right](B,I,S,H)
\end{tikzpicture}
-\end{Verbatim}
-
-
-
-
+ \end{Verbatim}
% subsubsection function_tkzname_ellipse__foci (end)
\subsubsection{Method \Imeth{ellipse}{point} and \Imeth{ellipse}{radii}} % (fold)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-line.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-line.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-line.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -181,6 +181,7 @@
\Imeth{line}{\_north\_pb(d)} &|z.M=L.AB:_north_pb(2)| &|BM=2|; $BM\perp BA$ ; $\overrightarrow{BA},\overrightarrow{BM}$ clockwise \\
\Imeth{line}{\_south\_pb(d)} &|z.M=L.AB:_south_pb(2)| &|BM=2|; $BM\perp BA$ ; $\overrightarrow{AB},\overrightarrow{AM}$ counterclockwise \\
\Imeth{line}{report(d,pt)} &|z.M=L.AB:report(2,z.N)| &|MN=2|; $AB\parallel MN$ ; Refer to ex. (\ref{ssub:method_report})\\
+\Imeth{line}{colinear\_at(pt,k)} &|z.D=L.AB:colinear_at(z.C,2)| &|CD=2AB|; $AB\parallel CD$ ; Refer to ex. (\ref{ssub:method_imeth_line_colinear__at})\\
\midrule
\textbf{Lines} &&\\
\midrule
@@ -229,7 +230,7 @@
\midrule
\Imeth{line}{circle ()} & |C.AB = L.AB : circle ()| & center pa through pb \\
\Imeth{line}{circle\_swap ()} & |C.BA = L.AB : circle_swap ()|& center pb through pa \\
-\Imeth{line}{apollonius (r)} & |C.apo = L.AB : apollonius (2)|& Ensemble des points tq. |MA/MB = 2| \\
+\Imeth{line}{apollonius (r)} & |C.apo = L.AB : apollonius (2)|& Set of points tq. |MA/MB = 2| \\
\midrule
\textbf{Transformations} &&\\
\midrule
@@ -248,7 +249,7 @@
\egroup
\end{minipage}
-\subsubsection{Method report} % (fold)
+\subsubsection{Method \Imeth{line}{report}} % (fold)
\label{ssub:method_report}
|report (d,pt)| If the point is absent, the transfer is made from the first point that defines the line.
@@ -289,7 +290,7 @@
\end{minipage}
% subsubsection method_report (end)
-\subsubsection{Triangle with two\_angles} % (fold)
+\subsubsection{Method \Imeth{line}{two\_angles} } % (fold)
\label{ssub:triangle_with_two__angles}
The angles are on either side of the given segment
@@ -332,7 +333,7 @@
\end{minipage}
% subsubsection triangle_with_two__angles (end)
-\subsubsection{Triangle with three given sides} % (fold)
+\subsubsection{Method \Imeth{line}{sss}} % (fold)
\label{ssub:triangle_with_three_given_sides}
In the following example, a small difficulty arises. The given lengths are not affected by scaling, so it's necessary to use the \Igfct{math}{value (r) } function, which will modify the lengths according to the scale.
@@ -498,7 +499,7 @@
\end{minipage}
% subsubsection about_triangles (end)
-\subsubsection{Method point }% (fold)
+\subsubsection{Method \Imeth{line}{point} }% (fold)
\label{ssub:method_point}
This method is very useful. It allows you to place a point on the line under consideration.
If |r = 0| then the point is |pa|, if |r = 1| it's |pb|.
@@ -544,10 +545,51 @@
\end{minipage}
% subsubsection method_point (end)
-\subsubsection{Normalize} % (fold)
+\subsubsection{Method \Imeth{line}{colinear\_at}} % (fold)
+\label{ssub:method_imeth_line_colinear__at}
+If the coefficient is missing then it defaults to $1$ and in the following example we obtain: $CE=AB$ and $(AB)\parallel (CE)$. For point $D$: $CD = .5AB$ and $(AB)\parallel (CD)$.
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.C = point: new (1 , 3)
+ L.AB = line : new (z.A,z.B)
+ z.D = L.AB : colinear_at (z.C,.5)
+ z.E = L.AB : colinear_at (z.C)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(A,B C,E)
+ \tkzDrawPoints(A,B,C,D,E)
+ \tkzLabelPoints(A,B,C,D,E)
+\end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.C = point: new (1 , 3)
+ L.AB = line : new (z.A,z.B)
+ z.D = L.AB : colinear_at (z.C,.5)
+ z.E = L.AB : colinear_at (z.C)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(A,B C,E)
+ \tkzDrawPoints(A,B,C,D,E)
+ \tkzLabelPoints(A,B,C,D,E)
+\end{tikzpicture}
+\end{minipage}
+
+% subsubsection method_imeth_line_colinear__at (end)
+
+
+\subsubsection{Method \Imeth{line}{normalize}} % (fold)
\label{ssub:normalize}
-
\begin{minipage}{.4\textwidth}
\begin{Verbatim}
\begin{tkzelements}
@@ -586,7 +628,7 @@
% subsubsection normalize (end)
-\subsubsection{Barycenter with a line} % (fold)
+\subsubsection{Method \Imeth{line}{barycenter}} % (fold)
\label{ssub:barycenter_with_a_line}
\begin{minipage}{.4\textwidth}
@@ -621,7 +663,7 @@
\end{minipage}
% subsubsection barycenter_with_a_line (end)
-\subsubsection{Example: new line from a defined line} % (fold)
+\subsubsection{method \Imeth{line}{ll\_from}} % (fold)
\label{ssub:new_line_from_a_defined_line}
\begin{minipage}{0.5\textwidth}
\begin{Verbatim}
@@ -673,7 +715,7 @@
% subsubsection new_line_from_a_defined_line (end)
-\subsubsection{Example: projection of several points} % (fold)
+\subsubsection{Method \Imeth{line}{projection}} % (fold)
\label{ssub:example_projection_of_several_points}
\begin{minipage}{0.5\textwidth}
\begin{Verbatim}
@@ -788,7 +830,7 @@
% subsubsection example_combination_of_methods (end)
-\subsubsection{Example: translation} % (fold)
+\subsubsection{Method \Imeth{line}{translation}} % (fold)
\label{ssub:example_translation}
\begin{minipage}{0.6\textwidth}
@@ -830,7 +872,7 @@
% subsubsection example_translation (end)
-\subsubsection{Example: distance and projection} % (fold)
+\subsubsection{Method \Imeth{line}{distance}} % (fold)
\label{ssub:example_distance_and_projection}
\begin{minipage}{0.5\textwidth}
@@ -876,7 +918,7 @@
% \caption{Method distance with line object}
% subsubsection example_distance_and_projection (end)
-\subsubsection{Reflection of object} % (fold)
+\subsubsection{Method \Imeth{line}{reflection} of an object} % (fold)
\label{ssub:reflection_of_object}
\begin{minipage}{.5\textwidth}
@@ -924,7 +966,7 @@
% subsubsection reflection_of_object (end)
-\subsection{Apollonius circle MA/MB = k} % (fold)
+\subsection{Method \Imeth{line}{apollonius} Apollonius circle MA/MB = k} % (fold)
\label{sub:apollonius_circle_ma_mb_k}
\begin{Verbatim}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-point.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-point.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-point.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -605,6 +605,7 @@
\begin{minipage}{.5\textwidth}
\begin{Verbatim}
\begin{tkzelements}
+ scale = .75
z.O = point : new ( -1 , -1 )
z.A = point : new ( 2 , 0 )
z.B = point : new ( 5 , 0 )
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-regular.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-regular.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-regular.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -81,7 +81,7 @@
\bgroup
\catcode`_=12
\small
-\captionof{table}{Circle methods.}\label{regular:met}
+\captionof{table}{regular\_polygon methods.}\label{regular:met}
\begin{tabular}{ll}
\toprule
\textbf{Methods} & \textbf{Comments} \\
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-triangle.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-triangle.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-classes-triangle.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -202,7 +202,9 @@
then lie on a circle known as the first Lemoine circle. } \\
\Imeth{triangle}{second\_lemoine\_circle ()} & Refer to example \ref{sub:antiparallel_through_lemoine_point}\\
\Imeth{triangle}{spieker\_circle ()} & The incircle of the medial triangle\\
-
+\Imeth{triangle}{cevian\_circle ()} & Circumscribed circle of a Cevian triangle Refer to (\ref{ssub:method_imeth_triangle_cevian})\\
+\Imeth{triangle}{pedal\_circle ()} & Circumscribed circle of the podar triangle Refer to (\ref{ssub:method_imeth_triangle_pedal})\\
+\Imeth{triangle}{conway\_circle ()} & Circumscribed circle of Conway points Refer to (\ref{ssub:method_imeth_triangle_conway})\\
\bottomrule
\end{tabular}
\end{minipage}
@@ -234,7 +236,8 @@
\Imeth{triangle}{tangential ()} & Triangle formed by the lines tangent to the circumcircle at the vertices\\
\Imeth{triangle}{feuerbach ()} & Triangle formed by the points of tangency of the euler circle with the excircles\\
\Imeth{triangle}{anti () }& Anticomplementary Triangle The given triangle is its medial triangle. \\
-\Imeth{triangle}{cevian (pt)} & Triangle formed with the endpoints of the three cevians with respect to |pt|.\\
+\Imeth{triangle}{cevian (pt)} & Triangle formed with the endpoints of the three cevians with respect to |pt|. refer to (\ref{ssub:method_imeth_triangle_cevian})\\
+\Imeth{triangle}{pedal (pt)} & Triangle formed by projections onto the sides of |pt| Refer to \ref{ssub:method_imeth_triangle_pedal}\\
\Imeth{triangle}{symmedian ()} & Triangle formed with the intersection points of the symmedians. \\
\Imeth{triangle}{euler ()} & Triangle formed with the euler points \\
\midrule
@@ -256,6 +259,171 @@
\egroup
% subsubsection methods_of_the_class_triangle (end)
+
+\subsubsection{Méthodes \Imeth{triangle}{cevian} et \Imeth{triangle}{cevian\_circle}} % (fold)
+\label{ssub:method_imeth_triangle_cevian}
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = 2
+ z.a = point: new (1,2)
+ z.b = point: new (5,1)
+ z.c = point: new (3,5)
+ T = triangle: new (z.a,z.b,z.c)
+ z.i = T.orthocenter
+ T.cevian = T : cevian (z.i)
+ z.ta,z.tb,z.tc = get_points (T.cevian)
+ C.cev = T : cevian_circle (z.i)
+ z.w = C.cev.center
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygons(a,b,c ta,tb,tc)
+\tkzDrawSegments(a,ta b,tb c,tc)
+\tkzDrawPoints(a,b,c,i,ta,tb,tc)
+\tkzLabelPoints(a,b,c,i)
+\tkzDrawCircles(w,ta)
+\end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+scale = 2
+z.a = point: new (1,2)
+z.b = point: new (5,1)
+z.c = point: new (3,5)
+T = triangle: new (z.a,z.b,z.c)
+z.i = T.orthocenter
+T.cevian = T : cevian (z.i)
+z.ta,z.tb,z.tc = get_points (T.cevian)
+C.cev = T : cevian_circle (z.i)
+z.w = C.cev.center
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygons(a,b,c ta,tb,tc)
+\tkzDrawSegments(a,ta b,tb c,tc)
+\tkzDrawPoints(a,b,c,i,ta,tb,tc)
+\tkzLabelPoints(a,b,c,i)
+\tkzDrawCircles(w,ta)
+\end{tikzpicture}
+\end{minipage}
+% subsubsection method_imeth_triangle_cevian (end)
+
+
+\subsubsection{Méthodes \Imeth{triangle}{pedal} et \Imeth{triangle}{pedal\_circle}} % (fold)
+\label{ssub:method_imeth_triangle_pedal}
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ z.A = point: new(0,0)
+ z.B = point: new(5,0)
+ z.C = point: new(1.5,3)
+ z.O = point: new (2,1)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ T.pedal = T.ABC : pedal (z.O)
+ z.E,z.F,z.G = get_points(T.pedal)
+ C.pedal = T.ABC : pedal_circle (z.O)
+ z.w = C.pedal.center
+ z.T = C.pedal.through
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawPolygon[red](E,F,G)
+ \tkzDrawCircle(w,T)
+ \tkzDrawPoints(A,B,C,E,F,G,O)
+ \tkzLabelPoints(A,B,C,E,F,G)
+ \tkzDrawSegments(O,E O,F O,G)
+ \end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ z.A = point: new(0,0)
+ z.B = point: new(5,0)
+ z.C = point: new(1.5,3)
+ z.O = point: new (2,1)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ T.pedal = T.ABC : pedal (z.O)
+ z.E,z.F,z.G = get_points(T.pedal)
+ C.pedal = T.ABC : pedal_circle (z.O)
+ z.w = C.pedal.center
+ z.T = C.pedal.through
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawPolygon[red](E,F,G)
+ \tkzDrawCircle(w,T)
+ \tkzDrawPoints(A,B,C,E,F,G,O)
+ \tkzLabelPoints(A,B,C,E,F,G)
+ \tkzDrawSegments(O,E O,F O,G)
+ \end{tikzpicture}
+\end{minipage}
+% subsubsection method_imeth_triangle_pedal (end)
+
+\subsubsection{Méthodes \Imeth{triangle}{conway\_points} et \Imeth{triangle}{conway\_circle}} % (fold)
+\label{ssub:method_imeth_triangle_conway}
+
+En géométrie plane, le théorème du cercle de Conway stipule que lorsque les côtés se rencontrant à chaque sommet d'un triangle sont prolongés par la longueur du côté opposé, les six points d'extrémité des trois segments de droite résultants se trouvent sur un cercle dont le centre est le centre d'incidence du triangle.
+
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ z.A = point:new (0,0)
+ z.C = point:new (5,0)
+ z.B = point:new (1,3)
+ T.ABC = triangle : new (z.A,z.B,z.C)
+ C.conway = T.ABC : conway_circle ()
+ z.w,z.t = get_points(C.conway)
+ z.t1,z.t2,z.t3,z.t4,
+ z.t5,z.t6= T.ABC : conway_points ()
+ \end{tkzelements}
+ \hspace*{5cm}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawCircles(w,t)
+ \tkzDrawPoints(t1,t2,t3,t4,t5,t6)
+ \tkzLabelPoints(t1,t2,t3,t4,t5,t6)
+ \tkzDrawSegments[dashed](t1,A t2,A t3,B)
+ \tkzDrawSegments[dashed](t4,B t5,C t6,C)
+ \tkzMarkSegments(B,C t1,A t2,A)
+ \tkzMarkSegments[mark=||](A,C t3,B t4,B)
+ \tkzMarkSegments[mark=|||](A,B t5,C t6,C)
+ \end{tikzpicture}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ scale = .5
+ z.A = point:new (0,0)
+ z.C = point:new (5,0)
+ z.B = point:new (1,3)
+ T.ABC = triangle : new (z.A,z.B,z.C)
+ C.conway = T.ABC : conway_circle ()
+ z.w,z.t = get_points(C.conway)
+ z.t1,z.t2,z.t3,
+ z.t4,z.t5,z.t6= T.ABC : conway_points ()
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawCircles(w,t)
+ \tkzDrawPoints(t1,t2,t3,t4,t5,t6)
+ \tkzLabelPoints(t1,t2,t3,t4,t5,t6)
+ \tkzDrawSegments[dashed](t1,A t2,A t3,B t4,B t5,C t6,C)
+ \tkzMarkSegments(B,C t1,A t2,A)
+ \tkzMarkSegments[mark=||](A,C t3,B t4,B)
+ \tkzMarkSegments[mark=|||](A,B t5,C t6,C)
+ \end{tikzpicture}
+\end{minipage}
+
+% subsubsection methode_imeth_triangle_conway (end)
+
+
\subsubsection{Euler line} % (fold)
\label{ssub:euler_line}
@@ -549,10 +717,61 @@
\tkzMarkSegments(B,E B,M B,F)
\end{tikzpicture}
\end{Verbatim}
+% subsection harmonic_division_and_bisector (end)
+\subsubsection{Method \Imeth{triangle}{cevan}} % (fold)
+\label{ssub:method_imeth_triangle_cevan}
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ scale = 2
+ z.a = point: new (1,2)
+ z.b = point: new (5,1)
+ z.c = point: new (3,5)
+ T = triangle: new (z.a,z.b,z.c)
+ z.i = T.orthocenter
+ T.cevian = T : cevian (z.i)
+ z.ta,z.tb,z.tc = get_points (T.cevian)
+ C.cev = T : cevian_circle (z.i)
+ z.w = C.cev.center
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(a,b,c ta,tb,tc)
+ \tkzDrawSegments(a,ta b,tb c,tc)
+ \tkzDrawPoints(a,b,c,i,ta,tb,tc)
+ \tkzLabelPoints(a,b,c,i)
+ \tkzDrawCircles(w,ta)
+ \end{tikzpicture}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ scale = 2
+ z.a = point: new (1,2)
+ z.b = point: new (5,1)
+ z.c = point: new (3,5)
+ T = triangle: new (z.a,z.b,z.c)
+ z.i = T.orthocenter
+ T.cevian = T : cevian (z.i)
+ z.ta,z.tb,z.tc = get_points (T.cevian)
+ C.cev = T : cevian_circle (z.i)
+ z.w = C.cev.center
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygons(a,b,c ta,tb,tc)
+ \tkzDrawSegments(a,ta b,tb c,tc)
+ \tkzDrawPoints(a,b,c,i,ta,tb,tc)
+ \tkzLabelPoints(a,b,c,i)
+ \tkzDrawCircles(w,ta)
+ \end{tikzpicture}
+\end{minipage}
-% subsection harmonic_division_and_bisector (end)
+
+% subsubsection method_imeth_triangle_cevan (end)
+
% subsection methods_of_the_class_triangle (end)
% section class_triangle (end)
\endinput
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-examples.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-examples.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-examples.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -720,6 +720,7 @@
\subsection{Orthogonal circle through} % (fold)
\label{sub:orthogonal_circle_through}
+\begin{minipage}{.5\textwidth}
\begin{Verbatim}
\begin{tkzelements}
z.O = point: new (0,1)
@@ -738,8 +739,8 @@
\tkzLabelPoints[right](O,A,z1,z2,c)
\end{tikzpicture}
\end{Verbatim}
-
-\begin{tkzelements}
+\end{minipage}
+\begin{minipage}{.5\textwidth}\begin{tkzelements}
z.O = point: new (0,1)
z.A = point: new (1,0)
z.z1 = point: new (-1.5,-1.5)
@@ -748,7 +749,6 @@
C = C.OA: orthogonal_through (z.z1,z.z2)
z.c = C.center
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
@@ -758,6 +758,7 @@
\tkzLabelPoints[right](O,A,z1,z2,c)
\end{tikzpicture}
\hspace*{\fill}
+\end{minipage}
% subsection orthogonal_circle_through (end)
\subsection{Divine ratio} % (fold)
@@ -1516,70 +1517,50 @@
\begin{minipage}[t]{.4\textwidth}\vspace{0pt}%
\begin{Verbatim}
\begin{tkzelements}
- scale=.75
- z.A = point: new (0 , 0)
- z.B = point: new (4 , 0)
- z.D = point: new (12,0)
- L.AB = line : new (z.A,z.B)
- z.X = L.AB.north_pa
- L.XB = line : new (z.X,z.B)
- z.E = L.XB.mid
- L.DE = line : new (z.D,z.E)
- L.XA = line : new (z.X,z.A)
- z.F = intersection (L.DE,L.XA)
- L.AE = line : new (z.A,z.E)
- L.BF = line : new (z.B,z.F)
- z.G = intersection (L.AE,L.BF)
- L.XG = line : new (z.X,z.G)
-z.C = intersection (L.XG,L.AB)
+ scale=.75
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.G = point: new (2,2)
+ L.AG = line : new (z.A,z.G)
+ L.AB = line : new (z.A,z.B)
+ z.E = L.AG : colinear_at (z.B,.5)
+ L.GE = line : new (z.G,z.E)
+ z.D = intersection (L.GE,L.AB)
+ z.F = z.B : symmetry (z.E)
+ L.GF = line :new (z.G,z.F)
+ z.C = intersection (L.GF,L.AB)
\end{tkzelements}
\begin{tikzpicture}
- \tkzGetNodes
- \tkzDefPoints{0/0/A,4/0/B}
- \tkzDefPoints{2/2/G}
- \tkzDefLine[parallel=through B,K=.5](A,G) \tkzGetPoint{E}
- \tkzInterLL(G,E)(A,B) \tkzGetPoint{D}
- \tkzDefPointBy[symmetry= center B](E) \tkzGetPoint{F}
- \tkzInterLL(G,F)(A,B) \tkzGetPoint{C}
- \tkzDrawLines(A,D A,G F,E G,F G,D)
- \tkzDrawPoints(A,B,G,E,F,C,D)
- \tkzLabelPoints(A,B,G,E,F,C,D)
- \tkzMarkSegments(F,B B,E)
+ \tkzGetNodes
+ \tkzDrawLines(A,B A,G A,D A,G F,E G,F G,D)
+ \tkzDrawPoints(A,B,G,E,F,C,D)
+ \tkzLabelPoints(A,B,G,E,F,C,D)
+ \tkzMarkSegments(F,B B,E)
\end{tikzpicture}
\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.6\textwidth}\vspace{0pt}%
\begin{tkzelements}
-scale=.75
-z.A = point: new (0 , 0)
-z.B = point: new (4 , 0)
-z.D = point: new (12,0)
-L.AB = line : new (z.A,z.B)
-z.X = L.AB.north_pa
-L.XB = line : new (z.X,z.B)
-z.E = L.XB.mid
-L.DE = line : new (z.D,z.E)
-L.XA = line : new (z.X,z.A)
-z.F = intersection (L.DE,L.XA)
-L.AE = line : new (z.A,z.E)
-L.BF = line : new (z.B,z.F)
-z.G = intersection (L.AE,L.BF)
-L.XG = line : new (z.X,z.G)
-z.C = intersection (L.XG,L.AB)
+ scale=.75
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.G = point: new (2,2)
+ L.AG = line : new (z.A,z.G)
+ L.AB = line : new (z.A,z.B)
+ z.E = L.AG : colinear_at (z.B,.5)
+ L.GE = line : new (z.G,z.E)
+ z.D = intersection (L.GE,L.AB)
+ z.F = z.B : symmetry (z.E)
+ L.GF = line :new (z.G,z.F)
+ z.C = intersection (L.GF,L.AB)
\end{tkzelements}
\hspace*{\fill}
\begin{tikzpicture}
-\tkzGetNodes
-\tkzDefPoints{0/0/A,4/0/B}
-\tkzDefPoints{2/2/G}
-\tkzDefLine[parallel=through B,K=.5](A,G) \tkzGetPoint{E}
-\tkzInterLL(G,E)(A,B) \tkzGetPoint{D}
-\tkzDefPointBy[symmetry= center B](E) \tkzGetPoint{F}
-\tkzInterLL(G,F)(A,B) \tkzGetPoint{C}
-\tkzDrawLines(A,D A,G F,E G,F G,D)
-\tkzDrawPoints(A,B,G,E,F,C,D)
-\tkzLabelPoints(A,B,G,E,F,C,D)
-\tkzMarkSegments(F,B B,E)
+ \tkzGetNodes
+ \tkzDrawLines(A,B A,G A,D A,G F,E G,F G,D)
+ \tkzDrawPoints(A,B,G,E,F,C,D)
+ \tkzLabelPoints(A,B,G,E,F,C,D)
+ \tkzMarkSegments(F,B B,E)
\end{tikzpicture}
\hspace*{\fill}
\end{minipage}
@@ -1590,22 +1571,22 @@
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{Verbatim}
\begin{tkzelements}
- scale = .5
- z.A = point: new (0 , 0)
- z.B = point: new (6 , 0)
- z.D = point: new (12 , 0)
- L.AB = line: new (z.A,z.B)
- z.X = L.AB.north_pa
- L.XB = line: new (z.X,z.B)
- z.E = L.XB.mid
- L.ED = line: new (z.E,z.D)
- L.AX = line: new (z.A,z.X)
- L.AE = line: new (z.A,z.E)
- z.F = intersection (L.ED,L.AX)
- L.BF = line: new (z.B,z.F)
- z.G = intersection (L.AE,L.BF)
- L.GX = line: new (z.G,z.X)
- z.C = intersection (L.GX,L.AB)
+scale = .5
+z.A = point: new (0 , 0)
+z.B = point: new (6 , 0)
+z.D = point: new (12 , 0)
+L.AB = line: new (z.A,z.B)
+z.X = L.AB.north_pa
+L.XB = line: new (z.X,z.B)
+z.E = L.XB.mid
+L.ED = line: new (z.E,z.D)
+L.AX = line: new (z.A,z.X)
+L.AE = line: new (z.A,z.E)
+z.F = intersection (L.ED,L.AX)
+L.BF = line: new (z.B,z.F)
+z.G = intersection (L.AE,L.BF)
+L.GX = line: new (z.G,z.X)
+z.C = intersection (L.GX,L.AB)
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
@@ -2015,7 +1996,7 @@
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{Verbatim}
\begin{tkzelements}
- scale = .25
+ scale = .5
z.A = point: new (0,0)
z.B = point: new (6,0)
z.C = point: new (0.8,4)
@@ -2039,7 +2020,8 @@
\end{tikzpicture}
\end{Verbatim}
\end{minipage}
-\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
+
+
\begin{tkzelements}
scale = .5
z.A = point: new (0,0)
@@ -2066,7 +2048,7 @@
\tkzLabelPoints(A,B,C)
\end{tikzpicture}
\hspace*{\fill}
-\end{minipage}
+
% subsection radical_circle (end)
\subsection{Euler ellipse} % (fold)
@@ -2112,44 +2094,44 @@
\begin{minipage}{.4\textwidth}
\begin{Verbatim}
\begin{tkzelements}
- scale = 1.3
- z.A = point: new (0 , 0)
- z.B = point: new (5 , 1)
- L.AB = line : new (z.A,z.B)
- z.C = point: new (.8 , 3)
- T.ABC = triangle: new (z.A,z.B,z.C)
- z.N = T.ABC.eulercenter
- z.G = T.ABC.centroid
- z.O = T.ABC.circumcenter
- z.H = T.ABC.orthocenter
+ scale = 1.3
+ z.A = point: new (0 , 0)
+ z.B = point: new (5 , 1)
+ L.AB = line : new (z.A,z.B)
+ z.C = point: new (.8 , 3)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ z.N = T.ABC.eulercenter
+ z.G = T.ABC.centroid
+ z.O = T.ABC.circumcenter
+ z.H = T.ABC.orthocenter
z.Ma,z.Mb,
- z.Mc = get_points (T.ABC : medial ())
+ z.Mc = get_points(T.ABC:medial ())
z.Ha,z.Hb,
- z.Hc = get_points (T.ABC : orthic ())
+ z.Hc = get_points(T.ABC:orthic ())
z.Ea,z.Eb,
- z.Ec = get_points (T.ABC: extouch())
- L.euler = T.ABC : euler_line ()
- C.circum = T.ABC : circum_circle ()
- C.euler = T.ABC : euler_circle ()
- z.I,z.J = intersection (L.euler,C.euler)
- E = ellipse: foci (z.H,z.O,z.I)
- a = E.Rx
- b = E.Ry
- ang = math.deg(E.slope)
- L.AH = line: new (z.A,z.H)
- L.BH = line: new (z.B,z.H)
- L.CH = line: new (z.C,z.H)
- z.X = intersection (L.AH,C.circum)
- _,z.Y = intersection (L.BH,C.circum)
- _,z.Z = intersection (L.CH,C.circum)
- L.BC = line: new (z.B,z.C)
- L.XO = line: new (z.X,z.O)
- L.YO = line: new (z.Y,z.O)
- L.ZO = line: new (z.Z,z.O)
- z.x = intersection (L.BC,L.XO)
- z.U = intersection (L.XO,E)
- _,z.V = intersection (L.YO,E)
- _,z.W = intersection (L.ZO,E)
+ z.Ec = get_points(T.ABC:extouch())
+ L.euler = T.ABC : euler_line ()
+ C.circum = T.ABC : circum_circle ()
+ C.euler = T.ABC : euler_circle ()
+ z.I,z.J = intersection (L.euler,C.euler)
+ E = ellipse: foci (z.H,z.O,z.I)
+ a = E.Rx
+ b = E.Ry
+ ang = math.deg(E.slope)
+ L.AH = line: new (z.A,z.H)
+ L.BH = line: new (z.B,z.H)
+ L.CH = line: new (z.C,z.H)
+ z.X = intersection (L.AH,C.circum)
+ _,z.Y = intersection (L.BH,C.circum)
+ _,z.Z = intersection (L.CH,C.circum)
+ L.BC = line: new (z.B,z.C)
+ L.XO = line: new (z.X,z.O)
+ L.YO = line: new (z.Y,z.O)
+ L.ZO = line: new (z.Z,z.O)
+ z.x = intersection (L.BC,L.XO)
+ z.U = intersection (L.XO,E)
+ _,z.V = intersection (L.YO,E)
+ _,z.W = intersection (L.ZO,E)
\end{tkzelements}
\end{Verbatim}
\end{minipage}
@@ -2169,7 +2151,6 @@
\tkzDrawPoints(A,B,C,N,G,H,O,X,Y,Z,Ma,Mb,Mc,Ha,Hb,Hc)
\tkzDrawEllipse[blue](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
\end{tikzpicture}
-\hspace*{\fill}
\end{minipage}
\begin{Verbatim}
@@ -3539,24 +3520,24 @@
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{Verbatim}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawCircles(O,B)
- \tkzDrawCircles[cyan](P,B)
- \tkzDrawCircles[red](w,E)
- \tkzDrawCircles[new](x,F)
- \tkzDrawSegments(A,G E,G C,G)
- \tkzDrawPolygons[new](A,E,C A',E',C')
- \tkzDrawPoints(A,...,G,A',E',C',O,P)
- \begin{scope}[font=\scriptsize]
- \tkzLabelPoints(A,...,F)
- \tkzLabelPoints[above left](G,A',E',C')
- \tkzLabelCircle[left](O,B)(30){$(\beta)$}
- \tkzLabelCircle[below](P,A)(40){$(\gamma)$}
- \tkzLabelCircle[right](w,C)(90){$(\alpha)$}
- \tkzLabelCircle[left](x,B)(-230){$((\delta))$}
- \end{scope}
- \end{tikzpicture}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(O,B)
+ \tkzDrawCircles[cyan](P,B)
+ \tkzDrawCircles[red](w,E)
+ \tkzDrawCircles[new](x,F)
+ \tkzDrawSegments(A,G E,G C,G)
+ \tkzDrawPolygons[new](A,E,C A',E',C')
+ \tkzDrawPoints(A,...,G,A',E',C',O,P)
+ \begin{scope}[font=\scriptsize]
+ \tkzLabelPoints(A,...,F)
+ \tkzLabelPoints[above left](G,A',E',C')
+ \tkzLabelCircle[left](O,B)(30){$(\beta)$}
+ \tkzLabelCircle[below](P,A)(40){$(\gamma)$}
+ \tkzLabelCircle[right](w,C)(90){$(\alpha)$}
+ \tkzLabelCircle[left](x,B)(-230){$((\delta))$}
+ \end{scope}
+\end{tikzpicture}
\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
@@ -3639,7 +3620,6 @@
L.TC = C.xE : tangent_at (z.C)
z.I = intersection (L.TA,L.TC)
\end{tkzelements}
-
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
@@ -3652,6 +3632,7 @@
\tkzLabelPoints[above right](E,F)
\tkzLabelPoints[below](C)
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsection three_tangents (end)
@@ -3802,7 +3783,7 @@
z.C = point: new (2,3)
T = triangle: new (z.A,z.B,z.C)
z.O = T.circumcenter
-z.o,z.w = get_points (T : first_lemoine_circle ())
+z.o,z.w = get_points(T:first_lemoine_circle())
z.L = T : lemoine_point ()
\end{tkzelements}
\hspace*{\fill}
@@ -3813,7 +3794,6 @@
\tkzLabelPoints(A,B,C,o,w,O,L)
\tkzDrawCircles(o,w O,A)
\end{tikzpicture}
-\hspace*{\fill}
\end{minipage}
% subsection first_lemoine_circle (end)
@@ -4233,62 +4213,11 @@
\tkzLabelPoints(A,B,C,E,F,G)
\end{tikzpicture}
\end{Verbatim}
-
-
% subsection soddy_circle_with_function (end)
-\subsubsection{Pappus chain} % (fold)
-\label{ssub:pappus_chain}
- Soit le point $D$ appartenant à la droite $(AC)$ tel que
- \[ DB \cdot DA = AC^2\]
- alors $B$ est l'image de $D$ dans l'inversion de centre $A$ et puissance $AC^2$.
- Les demi-cercles de diamètre $[AB]$ et$[AC]$ passent par le pôle $A$. Ils ont pour images les demi-droites $\mathcal{L'}$ et $\mathcal{L}$.
+\subsection{Pappus chain} % (fold)
+\label{sub:pappus_chain}
-Les cercles de centre $J_i$ et de diamètre $S_iT_i$ ont pour images les cercles de diamètre $S'_iT'_i$.
-
- \pgfmathsetmacro{\xB}{6}%
- \pgfmathsetmacro{\xC}{9}%
- \pgfmathsetmacro{\xD}{(\xC*\xC)/\xB}%
- \pgfmathsetmacro{\xJ}{(\xC+\xD)/2}%
- \pgfmathsetmacro{\r}{\xD-\xJ}%
- \pgfmathsetmacro{\nc}{2}%
-
-\begin{tikzpicture}[scale=1,ultra thin]
- \tkzDefPoints{0/0/A,\xB/0/B,\xC/0/C,\xD/0/D}
- \tkzDefPointBy[rotation = center C angle -90](B) \tkzGetPoint{c}
- \tkzDefPointBy[rotation = center A angle 90](C) \tkzGetPoint{a}
- \tkzDefPointBy[rotation = center D angle -90](C) \tkzGetPoint{d}
- \tkzDrawLines[add=0 and 2.25](C,c)
- \tkzDrawLines[add=0 and 1.5](D,d)
- \tkzDefCircle[diameter](A,C) \tkzDrawSemiCircle(tkzPointResult,C)
- \tkzDefCircle[diameter](A,B) \tkzDrawSemiCircle(tkzPointResult,B)
- \tkzDefCircle[diameter](B,C) \tkzDrawSemiCircle(tkzPointResult,C)
- \tkzDefCircle[diameter](C,D) \tkzDrawSemiCircle(tkzPointResult,D)
- \tkzDrawArc[red](A,C)(a)
- \tkzDrawPoints(A,B,C,D)
- \tkzLabelPoints(A,B,C,D)
- \tkzLabelLine[left,pos=3](C,c){$\mathcal{L}$}
- \tkzLabelLine[right,pos=2.5](D,d){$\mathcal{L'}$}
- \foreach \i in {1,...,\nc}
-{\tkzDefPoint(\xJ,2*\r*\i){J}
- \tkzDefPoint(\xJ,2*\r*\i-\r){H}
- \tkzDefCircleBy[inversion = center A through C](J,H)\tkzGetPoints{J'}{H'}
- \tkzInterLC(A,J)(J,H) \tkzGetPoints{S}{T}
- \tkzDefPointsBy[inversion = center A through C](S,T){S',T'}
- \tkzDrawCircle(J,H)
- \tkzDefCircle[diameter](S',T') \tkzGetPoint{I'}
- \tkzDrawCircle(I',T')
- \tkzDrawLines[dashed,add = 0 and .15](A,T A,S A,H)
- \tkzDrawPoints(J,H,H',S,S',T,T')
- \tkzLabelPoint(J){$J_\i$}
- \tkzLabelPoint(S){$S_\i$}
- \tkzLabelPoint(T){$T_\i$}
- \tkzLabelPoint(H){$H_\i$}
- \tkzLabelPoint(S'){$S'_\i$}
- \tkzLabelPoint(T'){$T'_\i$}
- \tkzLabelPoint(H'){$H'_\i$}}
-\end{tikzpicture}
-
\begin{tkzelements}
scale =.75
xC,nc = 10,16
@@ -4374,7 +4303,7 @@
\end{tikzpicture}
\vfill
\end{minipage}
-% subsubsection pappus_chain (end)
+% subsection pappus_chain (end)
\subsection{Three Circles} % (fold)
\label{sub:three_circles}
@@ -4449,7 +4378,7 @@
C.O0B = circle: new ( z.O_0, z.B)
C.O1C = circle: new ( z.O_1, z.C)
C.O2B = circle: new ( z.O_2, z.B)
-z.M_0 = C.O1C : external_similitude (C.O2B)
+z.M_0 = C.O1C:external_similitude(C.O2B)
L.O0C = line:new(z.O_0,z.C)
T.golden = L.O0C : golden ()
z.L = T.golden.pc
@@ -4488,7 +4417,7 @@
C.O0B = circle: new ( z.O_0, z.B)
C.O1C = circle: new ( z.O_1, z.C)
C.O2B = circle: new ( z.O_2, z.B)
- z.M_0 = C.O1C : external_similitude (C.O2B)
+ z.M_0 = C.O1C:external_similitude(C.O2B)
L.O0C = line:new(z.O_0,z.C)
T.golden = L.O0C : golden ()
z.L = T.golden.pc
@@ -4514,6 +4443,7 @@
\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
+ \hfill
\begin{tikzpicture}[scale=.7]
\tkzGetNodes
\tkzDrawPolygon[red](O_2,O_0,I,D,H)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-main.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-main.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-main.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,7 +1,7 @@
% !TEX TS-program = lualatex
% encoding : utf8
-% Documentation of tkz-elements v2.20c
-% Copyright 2023 Alain Matthes
+% Documentation of tkz-elements v2.25c
+% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
@@ -21,10 +21,10 @@
headings = small
]{tkz-doc}
\gdef\tkznameofpack{tkz-elements}
-\gdef\tkzversionofpack{2.20c}
+\gdef\tkzversionofpack{2.25c}
\gdef\tkzdateofpack{\today}
\gdef\tkznameofdoc{tkz-elements.pdf}
-\gdef\tkzversionofdoc{2.20c}
+\gdef\tkzversionofdoc{2.25c}
\gdef\tkzdateofdoc{\today}
\gdef\tkzauthorofpack{Alain Matthes}
\gdef\tkzadressofauthor{}
@@ -33,11 +33,12 @@
\gdef\tkzengine{lualatex}
\gdef\tkzurlauthorcom{http://altermundus.fr}
\nameoffile{\tkznameofpack}
+
% -- Packages ---------------------------------------------------
\usepackage[dvipsnames,svgnames]{xcolor}
\usepackage{calc}
\usepackage{tkz-base}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\usepackage{pgfornament}
\usetikzlibrary{backgrounds}
@@ -144,6 +145,7 @@
\newcommand*{\IEmacro}[1]{\index{#1_1@\texttt{\textbackslash#1}}\texttt{#1}}
\newcommand*{\tkzimpbf}[1]{\texttt{\textbf{#1}}}
\newcommand*{\tkzEHand}{\textcolor{red}{\lefthand}}
+\newcommand*{\ItkzPopt}[2]{\texttt{#2}\index{#1_3@\texttt{#1: options}!\texttt{#2}}}
%<--------------------------------------------------------------------------->
% settings styles
@@ -181,8 +183,7 @@
This document compiles some notes about \tkzname{\tkznameofpack}, the initial version of a \code{Lua} library designed to perform all the necessary calculations for defining objects in Euclidean geometry figures. Your document must be compiled using Lua\LaTeX.\\
With \pkg{tkz-elements}, definitions and calculations are exclusively conducted using \pkg{Lua}. \\
The primary programming approach offered is oriented towards \code{object programming}, utilizing object classes such as point, line, triangle, circle, and ellipse. Currently, after the calculations are completed, \pkg{tkz-euclide} or \pkg{TikZ} is used for drawing purposes.\\
- I discovered Lua and object-oriented programming while developing this package, so it's highly likely that I've made a few mistakes. If you'd like to contribute to the development of this package or provide advice on how to proceed, please contact me via email. \\
-Please note: English is not my native language, so there may be some errors."
+ I discovered Lua and object-oriented programming while developing this package, so it's highly likely that I've made a few mistakes. If you'd like to contribute to the development of this package or provide advice on how to proceed, please contact me via email.
}
\presentation
@@ -197,8 +198,8 @@
\href{http://mathworld.wolfram.com/about/author.html}{MathWorld}.
\vspace*{12pt}
-\lefthand\ You can find some examples on my site:
-\href{http://altermundus.fr}{altermundus.fr}. \hspace{2cm} under construction!
+\lefthand\ You can find some examples on my site and a french documentation:
+\href{http://altermundus.fr}{altermundus.fr}.
\vfill
Please report typos or any other comments to this documentation to: \href{mailto:al.ma at mac.com}{\textcolor{blue}{Alain Matthes}}.
@@ -248,7 +249,6 @@
|r| denotes a real number, |cx| complex number, |d| a positive real number, |n| an integer, |an| an angle, |b| a boolean, |s| a character string, |pt| a point, |t| a table, |m| a matrix, |v| variable, |L| a straight line, |C| a circle, |T| a triangle, |E| an ellipse, |V| a vector,|Q| a quadrilateral, |P| a parallelogram, |R| a rectangle, |S| a square, |RP| a regular polygon, |M| a matrix, |O| an object (pt, L,C,T), . . a list of points or an object, < > optional argument.
\begin{multicols}{3}
-
\fbox{\textbf{point}}\\
\textbf{Attributes} table(\ref{point:att}) \\
|re -> r| \\
@@ -320,7 +320,9 @@
|_south_pa (d) -> pt| \\
|_south_pb (d) -> pt| \\
|_east (d) -> pt| \\
-|_west (d) -> pt| \\
+|_west (d) -> pt| \\
+|report (r,pt) -> pt| \\
+|colinear_at (pt,k) -> pt| \\
|translation (...) -> O| \\
|projection (...) -> O| \\
|reflection (...) -> O| \\
@@ -348,7 +350,6 @@
|sublime () -> T| \\
|egyptian () -> T| \\
|square (<swap>) -> T| \\
-|report (r,pt) -> T| \\
\\
\fbox{\textbf{triangle}} \\
\textbf{Attributes} table(\ref{triangle:att}) \\
@@ -387,6 +388,7 @@
|nine_points () -> pt| \\
|point (t) -> pt| \\
|soddy_center () -> pt| \\
+|conway_points () -> pts| \\
|euler_line () -> L| \\
|symmedian_line (n) -> L| \\
|altitude (n) -> L| \\
@@ -401,6 +403,9 @@
|second_lemoine_circle() -> C| \\
|spieker_circle() -> C| \\
|soddy_circle () -> C| \\
+|conway_circle () -> C| \\
+|pedal_circle () -> C| \\
+|cevian_circle () -> C| \\
|orthic() -> T| \\
|medial() -> T| \\
|incentral() -> T| \\
@@ -414,6 +419,7 @@
|cevian (pt) -> T| \\
|symmedian () -> T| \\
|euler () -> T| \\
+|pedal (pt) -> T| \\
|projection (pt) -> pt,pt,pt| \\
|parallelogram () -> pt| \\
|area () -> d| \\
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-organization.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-organization.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-organization.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -5,6 +5,7 @@
The line |% !TEX TS-program = lualatex| ensures that you compile with Lua\LATEX{}. The \code{standalone} class is useful, as all you need to do here is create a figure.
+You can load \tkzname{tkz-euclide} in three different ways. The simplest is |\usepackage[mini]{tkz-euclide}| and you have full access to the package. You also have the option to use the \ItkzPopt{tkz-euclide}{lua} option. This will allow you, if you want to perform calculations outside of \tkzname{\tkznameofpack}, to obtain them using \code{lua}. Finally, the recommended method is to use the \ItkzPopt{tkz-euclide}{mini} option. This allows you to load only the modules necessary for drawing. You can still optionally draw using \TIKZ.
The package \pkg{ifthen} is useful if you need to use some Boolean.
@@ -25,7 +26,7 @@
% Created by Alain Matthes on 2024-01-09.
\documentclass[margin = 12pt]{standalone}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements,ifthen}
\begin{document}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-presentation.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-presentation.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-presentation.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -148,7 +148,8 @@
z.P_0 = intersection (C.PC,C.AB) -- search for intersections of two circles.
z.P_1 = intersection (C.PC,C.AC) -- idem
_,z.P_2 = intersection (C.QA,C.CB) -- idem
-z.O_3 = triangle: new ( z.P_0, z.P_1, z.P_2).circumcenter -- circumcenter attribute of “triangle”
+z.O_3 = triangle: new ( z.P_0, z.P_1, z.P_2).circumcenter
+ -- circumcenter attribute of “triangle”
\end{tkzelements}
\end{Verbatim}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-structure.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-structure.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-structure.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
\section{Structure} % (fold)
\label{sec:structure}
-\tkzNamePack{tkz-elements.sty} loads the \tkzNamePack{luacode} package to create the \tkzNameEnv{tkzelements} environment, which is based on the \tkzNameEnv{luacode} environment.
+\tkzNamePack{tkz-elements} loads the \tkzNamePack{luacode} package to create the \tkzNameEnv{tkzelements} environment, which is based on the \tkzNameEnv{luacode} environment.
Within the \tkzNameEnv{tkzelements} environment, the scale is initialized to 1, and then all values in various tables are cleared.
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transfers.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transfers.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transfers.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -2,7 +2,7 @@
\newpage
\section{Transfers} % (fold)
\label{sec:transfers}
-\subsection{Fom Lua to tkz-euclide or TikZ} % (fold)
+\subsection{From Lua to tkz-euclide or TikZ} % (fold)
\label{sub:fom_lua_to_tkz_euclide_or_tikz}
In this section, we'll explore how to transfer points, Booleans, and numerical values.
Deleted: trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transferts.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transferts.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/TKZdoc-elements-transferts.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,150 +0,0 @@
-
-\newpage
-\section{Transfers} % (fold)
-\label{sec:transfers}
-\subsection{Fom Lua to tkz-euclide or TikZ} % (fold)
-\label{sub:fom_lua_to_tkz_euclide_or_tikz}
-
-In this section, we'll look at how to transfer points, Booleans and numerical values.
-
-\subsubsection{Points transfer} % (fold)
-\label{ssub:points_transfer}
-We use an environment \tkzname{tkzelements} outside an environment \tkzname{tikzpicture} which allows us to carry out all the necessary calculations, then we launch the macro \Imacro{tkzGetNodes} which transforms the affixes of the table \tkzname{z} into \tkzname{Nodes}. It only remains to draw.
-
-Currently the drawing program is either \TIKZ\ or \pkg{tkz-euclide}. You have the possibility to use another package to trace but for that you have to create a macro similar to \tkzcname{tkzGetNodes}. Of course, this package must be able to store the points as does \TIKZ\ or \pkg{tkz-euclide}.
-
-\vspace*{1em}
-
-\begin{mybox}
-\begin{verbatim}
-\def\tkzGetNodes{\directlua{%
- for K,V in pairs(z) do
- local n,sd,ft
- n = string.len(K)
- if n >1 then
- _,_,ft, sd = string.find( K , "(.+)(.)" )
- if sd == "p" then K=ft.."'" end
- _,_,xft, xsd = string.find( ft , "(.+)(.)" )
- if xsd == "p" then K=xft.."'".."'" end
- end
- tex.print("\\coordinate ("..K..") at ("..V.re..","..V.im..") ;\\\\")
-end}
-}
-\end{verbatim}
-\end{mybox}
-See the section In-depth Study \ref{sec:in_depth_study} for an explanation of the previous code.
-
-The environment \tkzNameEnv{tkzelements} allows to use the underscore |_| and the macro \tkzcname{tkzGetNodes} allows to obtain names of nodes containing \tkzname{prime} or \tkzname{double prime}. (see the next example)
-
-\begin{minipage}{0.5\textwidth}
-\begin{verbatim}
-\begin{tkzelements}
- scale = 1.2
- z.o = point: new (0,0)
- z.a_1 = point: new (2,1)
- z.a_2 = point: new (1,2)
- z.ap = z.a_1 + z.a_2
- z.app = z.a_1 - z.a_2
-\end{tkzelements}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
- \tkzDrawSegments[red](a_1,a' a_2,a')
- \tkzDrawSegments[blue](a_1,a'' a_2,a'')
- \tkzDrawPoints(a_1,a_2,a',o,a'')
- \tkzLabelPoints(o,a_1,a_2,a',a'')
-\end{tikzpicture}
-\end{verbatim}
-\end{minipage}
-\begin{minipage}{0.5\textwidth}
-\begin{tkzelements}
- scale = 1.2
- z.o = point: new (0,0)
- z.a_1 = point: new (2,1)
- z.a_2 = point: new (1,2)
- z.ap = z.a_1 + z.a_2
- z.app = z.a_1 - z.a_2
-\end{tkzelements}
-\hspace{\fill}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
- \tkzDrawSegments[red](a_1,a' a_2,a')
- \tkzDrawSegments[blue](a_1,a'' a_2,a'')
- \tkzDrawPoints(a_1,a_2,a',o,a'')
- \tkzLabelPoints(o,a_1,a_2,a',a'')
-\end{tikzpicture}
-\hspace{\fill}
-\end{minipage}%
-
-\newpage
-% subsection fom_lua_to_tkz_euclide_or_tikz (end)
-\subsubsection{Other transfers} % (fold)
-\label{ssub:other_transfers}
-
-Sometimes it's useful to transfer angle, length measurements or boolean. For this purpose, I have created the macro (see \ref{sub:transfer_from_lua_to_tex})
-\IEmacro{tkzUseLua(value)}
-
-\begin{verbatim}
-\begin{tkzelements}
- z.b = point: new (1,1)
- z.a = point: new (4,2)
- z.c = point: new (2,2)
- z.d = point: new (5,2)
- L.ab = line : new (z.a,z.b)
- L.cd = line : new (z.c,z.d)
- det = (z.b-z.a)^(z.d-z.c)
- if det == 0 then bool = true
- else bool = false
- end
- x = intersection (L.ab,L.cd)
-\end{tkzelements}
-
-The intersection of the two lines lies at
- a point whose affix is:\tkzUseLua{x}
-
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPoints(a,...,d)
- \ifthenelse{\equal{\tkzUseLua{bool}}{true}}{
- \tkzDrawSegments[red](a,b c,d)}{%
- \tkzDrawSegments[blue](a,b c,d)}
- \tkzLabelPoints(a,...,d)
-\end{tikzpicture}
-\end{verbatim}
-
- \begin{tkzelements}
- z.b = point: new (1,1)
- z.a = point: new (4,2)
- z.c = point: new (2,2)
- z.d = point: new (5,1)
- L.ab = line : new (z.a,z.b)
- L.cd = line : new (z.c,z.d)
- det = (z.b-z.a)^(z.d-z.c)
- if det == 0 then bool = true
- else bool = false
- end
- x = intersection (L.ab,L.cd)
- \end{tkzelements}
-
- The intersection of the two lines lies at
- a point whose affix is: \tkzUseLua{x}
-
-\vspace{1em}
-\hspace{\fill}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzInit[xmin =-1,ymin=-1,xmax=6,ymax=3]
- \tkzGrid\tkzAxeX\tkzAxeY
- \tkzDrawPoints(a,...,d)
- \ifthenelse{\equal{\tkzUseLua{bool}}{true}}{
- \tkzDrawSegments[red](a,b c,d)}{%
- \tkzDrawSegments[blue](a,b c,d)}
- \tkzLabelPoints(a,...,d)
- \end{tikzpicture}
- \hspace{\fill}
-% subsubsection other_transfers (end)
-% subsubsection points_transfer (end)
-% section transferts (end)
-
-\endinput
\ No newline at end of file
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_1.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,7 +1,7 @@
% !TEX TS-program = lualatex
% Author Alain Matthes 2023
\documentclass{article}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_2.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,7 +1,7 @@
% !TEX TS-program = lualatex
% Author Alain Matthes 2023
\documentclass{article}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_3.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,7 +1,7 @@
% !TEX TS-program = lualatex
% Author Alain Matthes 2023
\documentclass{article}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.tex 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/doc/latex/tkz-elements/examples/tkz-elements-demo_4.tex 2024-04-29 20:31:34 UTC (rev 71130)
@@ -3,7 +3,7 @@
% Copyright (c) 2023 AlterMundus.
\documentclass{standalone}
-\usepackage{tkz-euclide}
+\usepackage[mini]{tkz-euclide}
\usepackage{tkz-elements}
\begin{document}
Modified: trunk/Master/texmf-dist/doc/latex/tkz-elements/tkz-elements.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz-elements.sty
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz-elements.sty 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz-elements.sty 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,5 +1,5 @@
% encoding : utf8
-% tkz-elements.sty v2.20c
+% tkz-elements.sty v2.25c
% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
@@ -11,7 +11,7 @@
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.
-\ProvidesPackage{tkz-elements}[2024/03/25 v2.20c Graphic Object Library]
+\ProvidesPackage{tkz-elements}[2024/04/27 v2.25c Graphic Object Library]
\RequirePackage{luacode}
\directlua{require "tkz_elements_main"}
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_circle.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_circle.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_circle.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements-circles.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_class.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_class.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_class.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_class.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- from class.lua (Simple Lua Classes from Lua-users wiki)
-- Compatible with Lua 5.1 (not 5.0).
-- http://lua-users.org/wiki/SimpleLuaClasses DavidManura
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_ellipse.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_ellipse.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_ellipse.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements-ellipses.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_circles.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_circles.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_circles.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_circles.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_intersections.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_intersections.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_intersections.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_intersections.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_lines.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_lines.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_lines.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_lines.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -150,4 +150,13 @@
else
return barycenter_({za,1-t},{zb,(t)}) +pt-za
end
-end
\ No newline at end of file
+end
+
+function colinear_at_ (za,zb,pt,k)
+ if k == nil
+ then
+ return pt+zb-za
+else
+ return pt+k*(zb-za)
+end
+end
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_maths.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_maths.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_maths.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_maths.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_matrices.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_matrices.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_matrices.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_matrices.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_points.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_points.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_points.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_points.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_regular.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_regular.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_regular.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_regular.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_triangles.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_triangles.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_functions_triangles.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_triangles.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_line.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_line.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_line.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_lines.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -163,6 +163,15 @@
return barycenter_({self.pa,1-t},{self.pb,(t)}) +pt-self.pa
end
end
+
+function line : colinear_at (pt,k)
+ if k == nil
+ then
+ return colinear_at_ (self.pa,self.pb,pt,1)
+ else
+ return colinear_at_ (self.pa,self.pb,pt,k)
+ end
+end
-------------- transformations -------------
function line: translation_pt ( pt )
return translation_ ( self.pb-self.pa,pt )
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_main.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_main.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_main.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements-main.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_matrices.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_matrices.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_matrices.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_matrices.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_misc.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_misc.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_misc.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_functions_maths.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_parallelogram.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_parallelogram.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_parallelogram.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_parallelogram.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_point.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_point.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_point.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_point.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_quadrilateral.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_quadrilateral.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_quadrilateral.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_quadrilateral.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_rectangle.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_rectangle.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_rectangle.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements-rectangle.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_regular.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_regular.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_regular.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_regular.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_square.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_square.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_square.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements-square.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_triangle.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_triangle.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_triangle.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_triangles.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -140,6 +140,17 @@
function triangle : soddy_center ()
return soddy_center_ (self.pa,self.pb,self.pc)
end
+
+function triangle : conway_points ()
+ local a1,a2,b1,b2,c1,c2
+ a1 = report_ (self.pb,self.pa,length(self.pb,self.pc),self.pa)
+ a2 = report_ (self.pc,self.pa,length(self.pb,self.pc),self.pa)
+ b1 = report_ (self.pa,self.pb,length(self.pa,self.pc),self.pb)
+ b2 = report_ (self.pc,self.pb,length(self.pa,self.pc),self.pb)
+ c1 = report_ (self.pb,self.pc,length(self.pb,self.pa),self.pc)
+ c2 = report_ (self.pa,self.pc,length(self.pb,self.pa),self.pc)
+ return a1,a2,b1,b2,c1,c2
+ end
-------------------
-- Result -> line
-------------------
@@ -214,7 +225,7 @@
end
end
-function triangle: antiparallel(pt,n) -- n =1 swap n=2 2 swap
+function triangle: antiparallel(pt,n) -- n = 1 swap ; n= 2 2 swap
local a,b,c,i,u,v,w
a = self.pa
b = self.pb
@@ -305,6 +316,29 @@
s,i = soddy_center_ (self.pa,self.pb,self.pc)
return circle : new ( s , i )
end
+
+function triangle : cevian_circle (p)
+ local pta,ptb,ptc
+ pta,ptb,ptc = cevian_ (self.pa,self.pb,self.pc,p)
+ return circle : new (circum_circle_ (pta,ptb,ptc),pta)
+ end
+
+ function triangle : conway_circle ()
+ local i,t
+ i = in_center_ (self.pa,self.pb,self.pc)
+ t = report_ (self.pb,self.pa,length(self.pb,self.pc),self.pa)
+ return circle : new (i,t)
+ end
+
+function triangle : pedal_circle (pt)
+ local x,y,z,c
+ x = projection_ (self.pb,self.pc,pt)
+ y = projection_ (self.pa,self.pc,pt)
+ z = projection_ (self.pa,self.pb,pt)
+ c = circum_center_ (x,y,z)
+ return circle : new (c,x)
+end
+
-------------------
-- Result -> triangle
-------------------
@@ -361,6 +395,14 @@
function triangle: euler ()
return triangle : new (euler_points_ (self.pa,self.pb,self.pc) )
end
+
+function triangle: pedal (pt)
+ local x,y,z
+ x = projection_ (self.pb,self.pc,pt)
+ y = projection_ (self.pa,self.pc,pt)
+ z = projection_ (self.pa,self.pb,pt)
+ return triangle : new (x,y,z)
+end
-------------------
-- Result -> ellipse
-------------------
Modified: trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_vector.lua
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_vector.lua 2024-04-29 20:31:16 UTC (rev 71129)
+++ trunk/Master/texmf-dist/tex/latex/tkz-elements/tkz_elements_vector.lua 2024-04-29 20:31:34 UTC (rev 71130)
@@ -1,6 +1,6 @@
-- tkz_elements_vectors.lua
--- date 2024/03/25
--- version 2.20c
+-- date 2024/04/27
+-- version 2.25c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
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