texlive[64193] Master/texmf-dist: tkz-euclide (25aug22)

commits+karl at tug.org commits+karl at tug.org
Thu Aug 25 22:10:50 CEST 2022


Revision: 64193
          http://tug.org/svn/texlive?view=revision&revision=64193
Author:   karl
Date:     2022-08-25 22:10:49 +0200 (Thu, 25 Aug 2022)
Log Message:
-----------
tkz-euclide (25aug22)

Modified Paths:
--------------
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/README.md
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-drawing.tex
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-main.tex
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-pointsSpc.tex
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-tools.tex
    trunk/Master/texmf-dist/doc/latex/tkz-euclide/tkz-euclide.pdf
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.cfg
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.sty
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-marks.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-shape.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-axesmin.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles-by.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-compass.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-angles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-circles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-lines.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-points.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-polygons.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-triangles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-grids.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-lines.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-by.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-rnd.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-spc.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-with.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-polygons.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-protractor.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-sectors.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-show.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-triangles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-BB.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-angles.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-base.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-colors.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-math.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-modules.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-text.tex
    trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-utilities.tex

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/README.md
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-euclide/README.md	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/doc/latex/tkz-euclide/README.md	2022-08-25 20:10:49 UTC (rev 64193)
@@ -1,6 +1,6 @@
 # tkz-euclide — for euclidean geometry
 
-Release 4.22c 2022/07/28
+Release 4.23c 2022/08/2
 
 ## Description
 
@@ -44,9 +44,7 @@
 \usepackage{tkz-euclide}
 \begin{document}
 \begin{tikzpicture}
-```
-your code
-```
+    your code
 \end{tikzpicture}
 ```
 
@@ -69,63 +67,66 @@
 
 
 ## History
+- 4.23c. Correction of a bug in the macro `\tkzDrawSemiCircle`,
+         Modification of `\tkzDefRadicalAxis`,
+         Remove old codes,
+         Correction of  the documentation;
+- 4.22c. Correction of a bug in the macro `\tkzMarkAngle`;  
+         Correction of  the documentation:  
+         Remove options R, diameter of the macro `\tkzDrawCircle`. To draw a circle you must use two points: the center and a point of the circle.                  
+        `\tkzDefPointOnCircle` :
+         forgotten "in rad" in the documentation
+Complement in the documentation for the macro `\tkzDefCircle[R](....)`. You can use either  `\tkzGetPoints{o}{x}` or either `\tkzGetPoints{x}`.
 
-- 4.22c. Correction of a bug in the macro \tkzMarkAngle;  
-        Correction of  the documentation:  
-         Remove options R,diameter of the macro \tkzDrawCircle. To draw a circle you must use two points: the center and a point of the circle.    
-          
-        \tkzDefPointOnCircle :  
-         forgotten "in rad" in the documentation
-Complément dans la documentation pour la macro \tkzDefCircle[R](....). On peut utiliser soit  \tkzGetPoints{o}{x} ou soit \tkzGetPoints{x}.  
 - 4.21c the package archive was corrupted, all the "|" disappeared ...
 
 - 4.2c. 
 
-  Now \tkzDefCircle gives two points as results: the center of the circle and a point of the circle. When a point of the circle is known, it is enough to use  \tkzGetPoint  or  \tkzGetFirstPoint 
- to get the center, otherwise  \tkzGetPoints  will give you the center and a point of the circle. You can always get the length of the radius with  \tkzGetLength . I wanted to favor working with nodes and banish the appearance of numbers in the code.
+  Now `\tkzDefCircle` gives two points as results: the center of the circle and a point of the circle. When a point of the circle is known, it is enough to use  `\tkzGetPoint`  or  `\tkzGetFirstPoint` 
+ to get the center, otherwise  `\tkzGetPoints`  will give you the center and a point of the circle. You can always get the length of the radius with  `\tkzGetLength` . I wanted to favor working with nodes and banish the appearance of numbers in the code.
   
-   In order to isolate the definitions, I deleted or modified certain macros which are:  \tkzDrawLine ,  \tkzDrawTriangle ,  \tkzDrawCircle ,  \tkzDrawSemiCircle  and   \tkzDrawRectangle ;
+   In order to isolate the definitions, I deleted or modified certain macros which are:  `\tkzDrawLine` ,  `\tkzDrawTriangle` ,  `\tkzDrawCircle` ,  `\tkzDrawSemiCircle`  and   `\tkzDrawRectangle` ;
   
-  Thus  \tkzDrawSquare(A,B)  becomes  \tkzDefSquare(A,B)  \tkzGetPoints{C}{D}  then
+  Thus  `\tkzDrawSquare(A,B)`  becomes  `\tkzDefSquare(A,B)`  `\tkzGetPoints{C}{D}`  then
 
-   \tkzDrawPolygon(A,B,C,D) ;
+   `\tkzDrawPolygon(A,B,C,D)` ;
 
   
   
  If you want to draw a circle, you can't do so  \tkzDrawCircle[R](A,1) . First you have to define the point through which the circle passes, so you have to do 
-  \tkzDefCircle[R](A,1)   \tkzGetPoint{a}  and finally  \tkzDrawCircle(A,a) . Another possibilty is to define a point on the circle  \tkzDefShiftPoint[A](1,O){a} ;  
+  `\tkzDefCircle[R](A,1)`   `\tkzGetPoint{a}`  and finally  `\tkzDrawCircle(A,a)` . Another possibilty is to define a point on the circle  `\tkzDefShiftPoint[A](1,O){a}` ;  
   
 
-  The following macros   tkzDefCircleBy[orthogonal through]  and  \tkzDefCircleBy[orthogonal from]  become  tkzDefCircle[orthogonal through]  and  \tkzDefCircle[orthogonal from]  ;  
+  The following macros   `\tkzDefCircleBy[orthogonal through]`  and  `\tkzDefCircleBy[orthogonal from]`  become `\tkzDefCircle[orthogonal through]`  and  `\tkzDefCircle[orthogonal from]`  ;  
 
   
-   \tkzDefLine[euler](A,B,C)  is a macro that allows you to obtain the line of \tkzname{Euler} when possible.  \tkzDefLine[altitude](A,B,C)  is possible again, as well as  \tkzDefLine[tangent at=A](O)  and  \tkzDefLine[tangent from=P](O,A)  which did not works;  
+   `\tkzDefLine[euler](A,B,C)`  is a macro that allows you to obtain the line of `Euler` when possible.  `\tkzDefLine[altitude](A,B,C)`  is possible again, as well as  `\tkzDefLine[tangent at=A](O)`  and  `\tkzDefLine[tangent from=P](O,A)`  which did not works;  
 
 
-    \tkzDefTangent  is replaced by  \tkzDelLine[tangent from = ...]  or  \tkzDelLine[tangent at = ...] 
+    `\tkzDefTangent`  is replaced by  \tkzDelLine[tangent from = ...]  or  \tkzDelLine[tangent at = ...] 
 
 
-  I added the macro  \tkzPicAngle[tikz options](A,B,C)  for those who prefer to use  \TIKZ\ .
+  I added the macro  `\tkzPicAngle[tikz options](A,B,C)`  for those who prefer to use  TIKZ.
 
   
- The order of the arguments of the macro \tkzcname{tkzDefPointOnCircle} has changed: now it is center, angle and point or radius.
- I have added two options for working with radians which are \tkzname{through in rad} and \tkzname{R in rad}.
+ The order of the arguments of the macro `\tkzDefPointOnCircle` has changed: now it is center, angle and point or radius.
+ I have added two options for working with radians which are `through in rad` and `R in rad`.
 
 
-  I added the option \tkzname{reverse} to the arcs paths. This allows to reverse the path and to reverse if necessary the arrows that would be present.
+  I added the option `reverse` to the arcs paths. This allows to reverse the path and to reverse if necessary the arrows that would be present.
 
 
-  I have unified the styles for the labels. There is now only \tkzname{label style} left which is valid for points, segments, lines, circles and angles. I have deleted \tkzname{label seg style} \tkzname{label line style} and \tkzname{label angle style}
+  I have unified the styles for the labels. There is now only `label style` left which is valid for points, segments, lines, circles and angles. I have deleted `label seg style``{label line style` and `label angle style`
 
-  I added the macro  tkzFillAngles  to use several angles.
+  I added the macro  `\tkzFillAngles`  to use several angles.
 
-  Correction option \tkzname{return} witk \tkzcname{tkzProtractor}
+  Correction option `return` with `tkzProtractor`
 
  As a reminder, the following changes have been made previously:
   
-     \tkzDrawMedian ,  \tkzDrawBisector ,  \tkzDrawAltitude ,  \tkzDrawMedians ,  \tkzDrawBisectors  et   \tkzDrawAltitudes  do not exist anymore. The creation and drawing separation is not respected so it is preferable to first create the coordinates of these points with  \tkzDefSpcTriangle[median]  and then to choose the ones you are going to draw with  \tkzDrawSegments  or  \tkzDrawLines ;
+     `\tkzDrawMedian` ,  `\tkzDrawBisector` ,  `\tkzDrawAltitude` ,  `\tkzDrawMedians` ,  \tkzDrawBisectors  et   \tkzDrawAltitudes  do not exist anymore. The creation and drawing separation is not respected so it is preferable to first create the coordinates of these points with  \tkzDefSpcTriangle[median]  and then to choose the ones you are going to draw with  \tkzDrawSegments  or  \tkzDrawLines ;
  
-   \tkzDrawTriangle  has been deleted.   \tkzDrawTriangle[equilateral]  was handy but it is better to get the third point with  \tkzDefTriangle[equilateral]  and then draw with  \tkzDrawPolygon ; idem for  \tkzDrawSquare  and  \tkzDrawGoldRectangle ; 
+   `\tkzDrawTriangle`  has been deleted.   `\tkzDrawTriangle[equilateral]`  was handy but it is better to get the third point with  `\tkzDefTriangle[equilateral]`  and then draw with  `\tkzDrawPolygon` ; idem for  `\tkzDrawSquare`  and  `\tkzDrawGoldRectangle` ; 
 
 
   The circle inversion was badly defined so I rewrote the macro. The input arguments are always the center and a point of the circle, the output arguments are the center of the image circle and a point of the image circle or two points of the image line if the antecedent circle passes through the pole of the inversion. If the circle passes the inversion center, the image is a straight line, the validity of the procedure depends on the choice of the point on the antecedent circle; 
@@ -139,32 +140,32 @@
   Correction option isoceles right;
 
 
-   \tkzDefMidArc(O,A,B)  gives the middle of the arc center $O$ from $A$ to $B$; 
+   `\tkzDefMidArc(O,A,B)`  gives the middle of the arc center $O$ from $A$ to $B$; 
 
   Good news : Some useful tools have been added. They are present on an experimental basis and will undoubtedly need to be improved;
 
 
-  The options "orthogonal from and through" depend now of \tkzcname{tkzDefCircleBy}
+  The options "orthogonal from and through" depend now of `tkzDefCircleBy`
 
   
-    \tkzDotProduct(A,B,C)  computes the scalar product in an orthogonal reference system of the vectors $\overrightarrow{A,B}$ and $\overrightarrow{A,C}$. 
+    `\tkzDotProduct(A,B,C)`  computes the scalar product in an orthogonal reference system of the vectors $\overrightarrow{A,B}$ and $\overrightarrow{A,C}$. 
   
-    \tkzDotProduct(A,B,C)=aa'+bb' if vec{AB} =(a,b) and vec{AC} =(a',b') 
+    `\tkzDotProduct(A,B,C)=aa'+bb' if vec{AB} =(a,b) and vec{AC} =(a',b')` 
   
   
-    \tkzPowerCircle(A)(B,C)  power of point $A$ with respect to the circle of center $B$ passing through $C$;
+    `\tkzPowerCircle(A)(B,C)`  power of point $A$ with respect to the circle of center $B$ passing through $C$;
   
   
-    \tkzDefRadicalAxis(A,B)(C,D)  Radical axis of two circles of center $A$ and $C$;
+    `\tkzDefRadicalAxis(A,B)(C,D)`  Radical axis of two circles of center $A$ and $C$;
   
   
-   Some tests :  \tkzIsOrtho(A,B,C)  and  \tkzIsLinear(A,B,C)  The first indicates whether the lines $(A,B)$ and $(A,C)$ are orthogonal. The second indicates whether the points $A$, $B$ and $C$ are aligned;
+   Some tests :  `\tkzIsOrtho(A,B,C)`  and  `\tkzIsLinear(A,B,C)`  The first indicates whether the lines AB and AC are orthogonal. The second indicates whether the points $A$, $B$ and $C$ are aligned;
 
-   \tkzIsLinear(A,B,C)  if $A$,$B$,$C$ are aligned then  \tkzLineartrue 
-   you can use  \iftkzLinear  (idem for  \tkzIsOrtho );
+   `\tkzIsLinear(A,B,C)`  if A, B, C are aligned then  \tkzLineartrue 
+   you can use  `\iftkzLinear`  (idem for  `\tkzIsOrtho` );
 
   A style for vectors has been added that you can of course modify
-  tikzset{vector style/.style={>=Latex,->}} ;
+  `\tikzset{vector style/.style={>=Latex,->}}` ;
 
 
   Now it's possible to add an arrow on a line or a circle with the option  tkz arrow . 
@@ -171,34 +172,34 @@
 
 
 - 4.05b 
-      \tkzInterLC new option  near  new method to choice the points
-      \tkzInterCC  new method to choice the points
-      \tkzDefTangent add method to choice the points
-      \tkzTestInterLC  and \iftkzFlagLC
-      \tkzTestInterLC and  \iftkzFlagCC
+      `\tkzInterLC` new option  near  new method to choice the points
+      `\tkzInterCC`  new method to choice the points
+      `\tkzDefTangent` add method to choice the points
+      `\tkzTestInterLC`  and `\iftkzFlagLC`
+      `\tkzTestInterLC` and  `\iftkzFlagCC`
       
-      \tkzDefHarmonic option ext int both then node or R
-      \tkzDefGoldenRatio new macro
-      \tkzSwapPoints  Exchange two points
-      \tkzPermute  Permutation of two points of a triangle
-      \tkzDefPointsBy option rotation with nodes no need to know the angle
-      \tkzMarkArc and \tkzLabelArc
+      `\tkzDefHarmonic` option ext int both then node or R
+     ` \tkzDefGoldenRatio` new macro
+      `\tkzSwapPoints`  Exchange two points
+      `\tkzPermute ` Permutation of two points of a triangle
+      `\tkzDefPointsBy` option rotation with nodes no need to know the angle
+     ` \tkzMarkArc` and `\tkzLabelArc`
       
-      \tkzDefPointOnCircle[angle=30,center=K1,radius=\rAp] becomes  
-      \tkzDefPointOnCircle[R= angle 30 center K1 radius \rAp]
-      Added  \tkzDefPointOnCircle[through= angle 30 center K1 point \rAp]
+      `\tkzDefPointOnCircle[angle=30,center=K1,radius=\rAp]` becomes  
+      `\tkzDefPointOnCircle[R= angle 30 center K1 radius \rAp]`
       
+      Added  `\tkzDefPointOnCircle[through= angle 30 center K1 point \rAp]`   
       Added some styles to place arrow "tkz arrow" and "tkz arrows" 
       Added " line cap =round" and "line join =round" to all the constructions
       Added information about angles in the documentation
 - 4.03 Adaptation of the code and documentation to the changes of the macros for the intersections.
 - 4.02
-  Major changes for the macros concerning the intersection of a line and a circle or two circles. If one point of the intersection is known then you can use the "common" option and indicate what the common point is. The second point is given in tkzFirstPointResult.
-  In other cases, for the intersection of two circles the determined points form angles with the centers of the circles. One of the angles measures less than 180 degrees and the other more than 180. The smaller one determines tkzFirstPointResult.
+  Major changes for the macros concerning the intersection of a line and a circle or two circles. If one point of the intersection is known then you can use the "common" option and indicate what the common point is. The second point is given in `tkzFirstPointResult`.
+  In other cases, for the intersection of two circles the determined points form angles with the centers of the circles. One of the angles measures less than 180 degrees and the other more than 180. The smaller one determines `tkzFirstPointResult`.
  For the intersection of a line and a circle, the method is the same except that the angle is formed by a point on the line and the center of the circle.
 
 - 4.01 
- \tkzDefOrthogonalCircle was defined twice so I deleted the version in   tkz-obj-eu-circles-by
+ `\tkzDefOrthogonalCircle` was defined twice so I deleted the version in   tkz-obj-eu-circles-by
 
  In the tkz-obj-eu-draw-lines.tex   new code for add dim from muzimuzhi Z.
  The code comes from an answer on the site tex.stackexchange.com
@@ -210,9 +211,9 @@
 	
  Added option "swap" useful with golden, gold,  school, half, pythagoras
 
-  In the file tkz-obj-eu-circles  correction of bug in \tkzDefOrthoThroughCircle : \tkz@@CalcLength  has been replaced by 	 \tkz@@CalcLengthcm 
+  In the file tkz-obj-eu-circles  correction of bug in `\tkzDefOrthoThroughCircle` : `\tkz@@CalcLength`  has been replaced by 	 `\tkz@@CalcLengthcm `
  	
-  Addition of the macro \tkzDefGoldenRatio in tkz-obj-eu-points-spc. It allows to split a segment with a ratio equal to the golden ratio
+  Addition of the macro `\tkzDefGoldenRatio` in tkz-obj-eu-points-spc. It allows to split a segment with a ratio equal to the golden ratio
 
  Minor corrections of the documentation. New  examples about option "dim"
       

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-drawing.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-drawing.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-drawing.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -621,7 +621,7 @@
 \newpage
 
 \subsection{Drawing semicircle}
-\begin{NewMacroBox}{tkzDrawSemiCircle}{\oarg{local options}\parg{A,B}}%
+\begin{NewMacroBox}{tkzDrawSemiCircle}{\oarg{local options}\parg{O,A}}%
 
 \medskip
 \begin{tabular}{lll}%
@@ -628,17 +628,11 @@
 \toprule
 arguments           & example & explanation                         \\
 \midrule
-\TAline{\parg{pt1,pt2}}{\parg{O,A}} {radius}
+\TAline{\parg{pt1,pt2}}{\parg{O,A}} {OA= radius}
 \bottomrule
 \end{tabular} 
     
-\medskip
-\begin{tabular}{lll}%
-\toprule
-options             & default & definition                         \\ 
-\midrule
-\TOline{through}  {through}{circle characterized by two points defining a radius} 
-\end{tabular}
+$O$ center $A$ extremity of the semicircle
 \end{NewMacroBox}  
 
 \subsubsection{Use of \tkzcname{tkzDrawSemiCircle}}   
@@ -646,21 +640,12 @@
 \begin{tkzexample}[latex=7cm,small]
 \begin{tikzpicture}
    \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B}
-   \tkzDefSquare(A,B)    \tkzGetPoints{C}{D}
-   \tkzDrawPolygon(B,C,D,A)
-   \tkzDefPoint(3,6){F}
-   \tkzDefTriangle[equilateral](C,D) 
-   \tkzGetPoint{I}
-   \tkzDefPointBy[projection=onto B--C](I) 
-   \tkzGetPoint{J}
-   \tkzInterLL(D,B)(I,J)  \tkzGetPoint{K}
-   \tkzDefPointBy[symmetry=center K](B) 
-   \tkzGetPoint{M}
-   \tkzDrawCircle(M,I)
-   \tkzCalcLength(M,I) \tkzGetLength{dMI}
-   \tkzDrawPolygon(A,B,C,D)
-   \tkzDrawSemiCircle(F,D)
-\end{tikzpicture}
+   \tkzDefMidPoint(A,B)  \tkzGetPoint{O}
+   \tkzDrawSemiCircle[blue](O,B)
+   \tkzDrawSemiCircle[red](O,A)
+   \tkzDrawPoints(O,A,B)
+   \tkzLabelPoints[below right](O,A,B)
+ \end{tikzpicture}
 \end{tkzexample}
 
 \subsection{Drawing semicircles}
@@ -676,15 +661,30 @@
 \bottomrule
 \end{tabular} 
     
-\medskip
-\begin{tabular}{lll}%
-\toprule
-options             & default & definition                         \\ 
-\midrule
-\TOline{through}{through}{circle with two points defining a radius}
- \bottomrule
-\end{tabular}
 \end{NewMacroBox}  
+
+\subsubsection{Use of \tkzcname{tkzDrawSemiCircles} : Golden arbelos}  
+
+\begin{tkzexample}[latex=7cm,small]
+\begin{tikzpicture}[scale=.75]
+\tkzDefPoints{0/0/A,10/0/B}
+\tkzDefGoldenRatio(A,B) \tkzGetPoint{C}
+\tkzDefMidPoint(A,B)                     \tkzGetPoint{O_0}
+\tkzDefMidPoint(A,C)                     \tkzGetPoint{O_1}
+\tkzDefMidPoint(C,B)                     \tkzGetPoint{O_2}
+\tkzLabelPoints(A,B,C)
+\tkzDrawSegment(A,B)
+\tkzDrawPoints(A,B,C)
+\begin{scope}[local bounding box = graph]
+  \tkzDrawSemiCircles[color=black](O_0,B)
+\end{scope}
+\useasboundingbox (graph.south west) rectangle (graph.north east);
+\tkzClipCircle[out](O_1,C)\tkzClipCircle[out](O_2,B)
+\tkzDrawSemiCircles[draw=none,fill=teal!15](O_0,B)
+\tkzDrawSemiCircles[color=black](O_1,C O_2,B)
+\end{tikzpicture}
+\end{tkzexample}
+
 %<---------------------------------------------------------------------------->
 %    ARC
 %<---------------------------------------------------------------------------->

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-main.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-main.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-main.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -22,10 +22,10 @@
                ]{tkz-doc}
 %\usepackage{etoc}
 \gdef\tkznameofpack{tkz-euclide}
-\gdef\tkzversionofpack{4.22c}
+\gdef\tkzversionofpack{4.23c}
 \gdef\tkzdateofpack{\today}
 \gdef\tkznameofdoc{doc-tkz-euclide}
-\gdef\tkzversionofdoc{4.22c} 
+\gdef\tkzversionofdoc{4.23c} 
 \gdef\tkzdateofdoc{\today}
 \gdef\tkzauthorofpack{Alain Matthes}
 \gdef\tkzadressofauthor{}

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-pointsSpc.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-pointsSpc.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-pointsSpc.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -405,8 +405,6 @@
 \end{NewMacroBox}
 
 
-
-
 \subsubsection{Using \tkzcname{tkzDefEquiPoints} with options}
 \begin{tkzexample}[latex=7cm,small]
 \begin{tikzpicture}

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-tools.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-tools.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-tools.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -338,7 +338,7 @@
 \end{tkzexample}
 % subsubsection cocyclicpts (end)
 
-
+\newpage
 \subsection{Power of a point with respect to a circle}
 
 \begin{NewMacroBox}{tkzPowerCircle}{\parg{$pt1$}\parg{$pt2$,$pt3$}}%
@@ -406,6 +406,56 @@
 \end{tkzexample}
 % subsubsection two_circles_disjointed (end)
 
+\subsection{Two intersecting circles} % (fold)
+\label{sub:two_intersecting_circles}
+\begin{tkzexample}[small,latex=8cm]
+\begin{tikzpicture}[scale=.5]
+  \tkzDefPoints{-1/0/A,0/2/B,3/-1/C,3/-2/D}
+  \tkzDrawCircles(A,C B,D)
+  \tkzDefRadicalAxis(A,C)(B,D)
+  \tkzGetPoints{E}{F}
+  \tkzDrawPoints(A,B,C,D,E,F)
+    \tkzLabelPoints(A,B,C,D,E,F)
+  \tkzDrawLine[add=.5 and 1](E,F)
+  \tkzDrawLine[add=.25 and .25](A,B)
+\end{tikzpicture}
+\end{tkzexample}
+% subsection two_intersecting_circles (end)
+
+
+\subsection{Two externally tangent circles} % (fold)
+\label{sub:two_externally_tangent_circles}
+\begin{tkzexample}[small,latex=8cm]
+\begin{tikzpicture}[scale=.5]
+  \tkzDefPoints{0/0/A,4/0/B,6/0/C}
+  \tkzDrawCircles(A,B C,B)
+  \tkzDefRadicalAxis(A,B)(C,B)
+  \tkzGetPoints{E}{F}
+  \tkzDrawPoints(A,B,C,E,F)
+    \tkzLabelPoints(A,B,C,E,F)
+  \tkzDrawLine[add=1 and 1](E,F)
+  \tkzDrawLine[add=.5 and .5](A,B)
+\end{tikzpicture}
+\end{tkzexample}
+% subsection two_externally_tangent_circles (end)
+
+
+\subsection{Two circles tangent internally} % (fold)
+\label{sub:deux_cercles_tangents_interieurement}
+\begin{tkzexample}[small,latex=8cm]
+\begin{tikzpicture}[scale=.5]
+  \tkzDefPoints{0/0/A,3/0/B,5/0/C}
+  \tkzDrawCircles(A,C B,C)
+  \tkzDefRadicalAxis(A,C)(B,C)
+  \tkzGetPoints{E}{F}
+  \tkzDrawPoints(A,B,C,E,F)
+  \tkzLabelPoints[below right](A,B,C,E,F)
+  \tkzDrawLine[add=1 and 1](E,F)
+  \tkzDrawLine[add=.5 and .5](A,B)
+\end{tikzpicture}
+\end{tkzexample}
+% subsection deux_cercles_tangents_interieurement (end)
+
 \subsubsection{Three circles} % (fold)
 \label{ssub:threecircles}
 

Modified: trunk/Master/texmf-dist/doc/latex/tkz-euclide/tkz-euclide.pdf
===================================================================
(Binary files differ)

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.cfg
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.cfg	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.cfg	2022-08-25 20:10:49 UTC (rev 64193)
@@ -16,9 +16,9 @@
 % and save the file in a directory  part of your TEXINPUTS environment 
 % variable. 
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-euclide.cfg}
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-euclide.cfg}
 %<------   colors  ---------------------------------------–> 
 \def\tkz at backgroundcolor{white}
 \def\tkz at textcolor{black}  

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.sty
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.sty	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-euclide.sty	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,11 +10,11 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 %-------------------------------------------------------------------------------
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-euclide.sty} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-euclide.sty} 
 \NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{tkz-euclide}[ 2022/07/28 4.22c for pure  Euclidean Geometry ]
+\ProvidesPackage{tkz-euclide}[ 2022/08/24 4.23c for pure  Euclidean Geometry ]
 \@ifpackageloaded{tkz-base}{
 \newdimen\tkzRadius
 \newdimen\tkzLength

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-marks.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-marks.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-marks.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-lib-eu-marks.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-lib-eu-marks.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %  Création des symboles

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-shape.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-shape.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-lib-eu-shape.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-lib-eu-shape.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-lib-eu-shape.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %  Création des symboles

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-axesmin.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-axesmin.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-axesmin.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-axesmin}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-axesmin}   
 
 \makeatletter
 \def\removedot#1.{#1}

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles-by.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles-by.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles-by.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-circles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-circles.tex} 
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %            tkzCircle center and one point 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-circles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-circles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-circles.tex} 
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %            tkzCircle center and one point 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-compass.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-compass.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-compass.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-compass.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-compass.tex}  
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %  Author Alain Matthes  

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-angles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-angles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-angles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tool-eu-angles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tool-eu-angles.tex} 
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                    tkzSetUpArc  

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-circles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-circles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-circles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-draw-circles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-draw-circles.tex} 
 \makeatletter 
 %<--------------------------------------------------------------------------–>
 %                    tkzSetUpCircle  
@@ -72,27 +72,17 @@
 }% 
 %<--------------------------------------------------------------------------–>
 % #2 #3 rayon
-\pgfkeys{/tkzdrawsc/.cd,
-       swap/.is if           =  tkz at swap@sc,
-       swap/.default         =  true,
-       swap                  =  false,
-/tkzdrawsc/.search also={/tikz}
-}  
+
 \def\tkzDrawSemiCircle{\pgfutil at ifnextchar[{\tkz at DrawSemiCircle}{%
                                             \tkz at DrawSemiCircle[]}}
 \def\tkz at DrawSemiCircle[#1](#2,#3){% 
 \begingroup 
-\pgfqkeys{/tkzdrawsc}{#1}
- \tkzDefPointBy[symmetry=center #2](#3)
- \pgfnodealias{tkz at pt}{tkzPointResult}
- \iftkz at swap@sc
-   \gdef\tkz at FirstPoint{tkz at pt}
-   \gdef\tkz at SecondPoint{#3}
- \else
-   \gdef\tkz at FirstPoint{#3}
-   \gdef\tkz at SecondPoint{tkz at pt}
-\fi
- \tkzDrawArc[#1,delta=0](#2,\tkz at FirstPoint)(\tkz at SecondPoint)
+    \pgfpointdiff{\pgfpointanchor{#2}{center}}%
+                 {\pgfpointanchor{#3}{center}}%
+    \tkz at ax=\pgf at x%
+    \tkz at ay=\pgf at y%
+   \path(#2)--++(-\tkz at ax,-\tkz at ay)coordinate (tkz at pt); 
+ \tkzDrawArc[#1,delta=0](#2,#3)(tkz at pt)
 \endgroup
 }%
 %<--------------------------------------------------------------------------–> 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-lines.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-lines.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-lines.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-draw-lines.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-draw-lines.tex}   
 \makeatletter
 
 %<--------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-points.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-points.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-points.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”. 
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-obj-eu-points.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-obj-eu-points.tex} 
 \makeatletter
 %<--------------------------------------------------------------------------->
 %                    tkzSetUpPoint  définit la forme d'un point

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-polygons.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-polygons.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-polygons.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-polygons.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-polygons.tex} 
 \makeatletter  
 %<--------------------------------------------------------------------------–>
 %                                 Polygon 
@@ -61,33 +61,6 @@
 \endgroup
 }
 %<--------------------------------------------------------------------------–>
- % \def\tkzDrawSquare{\pgfutil at ifnextchar[{\tkz at DrawSquare}{\tkz at DrawSquare[]}}
- % \def\tkz at DrawSquare[#1](#2,#3){%
- % \begingroup
- %    \tkzDefSquare(#2,#3)
- %    \tkzDrawPolygon[#1](#2,#3,tkzFirstPointResult,tkzSecondPointResult)
- % \endgroup
- % }
- %<--------------------------------------------------------------------------–>
- % \def\tkzDrawRectangle{\pgfutil at ifnextchar[{\tkz at DrawRectangle}%
- %                       {\tkz at DrawRectangle[]}}
- % \def\tkz at DrawRectangle[#1](#2,#3){%
- % \begingroup
- %    \draw[line join=round,#1](#2) -| (#3) -| (#2);
- % \endgroup
- % }
-%<-------------------------- gold rectangle -------------------------------–>
-%
-%<--------------------------------------------------------------------------–>
- % \def\tkzDrawGoldRectangle{\pgfutil at ifnextchar[{\tkz at DrawGoldRectangle}{%
- %                                             \tkz at DrawGoldRectangle[]}}
- % \def\tkz at DrawGoldRectangle[#1](#2,#3){
- % \begingroup
- %   \tkzDefGoldRectangle(#2,#3)
- %   \tkzDrawPolygon[#1](#2,#3,tkzFirstPointResult,tkzSecondPointResult)
- % \endgroup
- % }
- % \let\tkzDrawGoldenRectangle\tkzDrawGoldRectangle
 %<--------------   Labels for Regular Polygon      -------------------------–>
 %
 %<--------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-triangles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-triangles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-draw-triangles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,33 +10,13 @@
 % This work has the LPPL maintenance status “maintained”. 
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-draw-triangles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-draw-triangles.tex} 
 \makeatletter  
 %<--------------------------------------------------------------------------–>
 %                       Draw Triangles
 %<--------------------------------------------------------------------------–>
-% \def\tkz at numdtr{0}
-% \pgfkeys{/drawtriangle/.cd,
-%       equilateral/.code         = {\def\tkz at numdtr{0}},
-%       half/.code                = {\def\tkz at numdtr{1}},
-%       pythagore/.code           = {\def\tkz at numdtr{2}},
-%       pythagoras/.code          = {\def\tkz at numdtr{2}},
-%       egyptian/.code            = {\def\tkz at numdtr{2}},
-%       school/.code              = {\def\tkz at numdtr{3}},
-%       golden/.code              = {\def\tkz at numdtr{4}},
-%       sublime/.code             = {\def\tkz at numdtr{4}},
-%       euclid/.code              = {\def\tkz at numdtr{5}},
-%       gold/.code                = {\def\tkz at numdtr{6}},
-%       cheops/.code              = {\def\tkz at numdtr{7}},
-%       two angles/.code  args    = {#1 and #2}{\def\tkz at numdtr{8}%
-%                                               \def\tkz at alpha{#1}%
-%                                               \def\tkz at beta{#2}},
-%       isosceles right/.code    = {\def\tkz at numdtr{9}},
-%       equilateral,
-%    /drawtriangle/.search also={/tikz}
-%  }
 
 \def\tkzDrawTriangle{\pgfutil at ifnextchar[{\tkz at DrawTriangle}{%
                                          \tkz at DrawTriangle[]}}

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-grids.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-grids.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-grids.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-grids.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-grids.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %              Setup   Grid

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-lines.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-lines.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-lines.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-lines.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-lines.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                          les lignes

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-by.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-by.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-by.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-points-by.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-points-by.tex}  
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                        Transformations Géométriques

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-rnd.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-rnd.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-rnd.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-points-rnd.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-points-rnd.tex} 
 %<--------------------------------------------------------------------------–>
 \makeatletter
 %<-------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-spc.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-spc.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-spc.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-points.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-points.tex} 
 \makeatletter  
 %add ExCenter
 %<--------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-with.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-with.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points-with.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-points-with.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-points-with.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                          Vectors

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-points.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”. 
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-obj-eu-points.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-obj-eu-points.tex} 
 \makeatletter
 %<--------------------------------------------------------------------------->
 %                             init def point 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-polygons.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-polygons.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-polygons.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-polygons.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-polygons.tex} 
 % bug in regular polygon side 2020/03/09
 \makeatletter  
 %<--------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-protractor.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-protractor.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-protractor.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-protractor.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-protractor.tex}  
 \makeatletter
 %<--------------------------------------------------------------------------–>  
 %                   !!! idea from Y. Combe  !!! 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-sectors.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-sectors.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-sectors.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-sectors.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-sectors.tex} 
 \makeatletter  
 %<-----------------------    Sectors         ------------------------------–>
 \gdef\tkz at nums{0}

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-show.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-show.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-show.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-obj-eu-show.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-obj-eu-show.tex} 
 \makeatletter  
 %<--------------------------------------------------------------------------–>
 % finding specific points in a triangle

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-triangles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-triangles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-obj-eu-triangles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-obj-eu-triangles.tex} 
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-obj-eu-triangles.tex} 
 \makeatletter  
 %<--------------------------------------------------------------------------–>
 %                       Triangle Equilateral

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-BB.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-BB.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-BB.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-obj-eu-BB.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-obj-eu-BB.tex}  
 \makeatletter
 %<--------------------------------------------------------------------------–>
 \def\tkzShowBB{\pgfutil at ifnextchar[{\tkz at ShowBB}{\tkz at ShowBB[]}} 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-angles.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-angles.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-angles.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”. 
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-angles.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-angles.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %<--------------------------------------------------------------------------–>

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-base.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-base.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-base.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”. 
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-base.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-base.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 \global\let\tkz at tmp@xa\tkz at init@xmin% modif  2016

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-colors.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-colors.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-colors.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-tools-eu-colors}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-tools-eu-colors}  
 \makeatletter
 
 %<------  Initialisation of the colors with tkzSetUpColors  -----------------> 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -13,9 +13,9 @@
 % The Current Maintainer of this work is Alain Matthes.
 %  utf8 encoding
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-intersections.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-intersections.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                 intersection  de deux lignes

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-math.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-math.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-math.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-math.tex}     
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-math.tex}     
 \makeatletter
 %<-------------------------------------------------------------------------->
 % \tkzpointnormalised#
@@ -194,11 +194,21 @@
 %<---------------------------------------------------------–>
 \def\tkzDefRadicalAxis(#1,#2)(#3,#4){%
 \begingroup
-\tkz@@CalcLengthcm(#1,#3){tkz at da}
+\tkz@@CalcLengthcm(#1,#3){tkz at d}
 \tkz@@CalcLengthcm(#1,#2){tkz at ra}
 \tkz@@CalcLengthcm(#3,#4){tkz at rb}
-\edef\tkzMathResult{\fpeval{(\tkz at ra+\tkz at rb)}}
-\ifdim \tkzMathResult pt < \tkz at da pt\relax%
+\edef\tkzMathResult{\fpeval{\tkz at d-(\tkz at ra+\tkz at rb)}}
+\edef\tkzMathResultb{\fpeval{abs(\tkz at d-(\tkz at ra+\tkz at rb))}}
+\edef\tkzMathResultc{\fpeval{abs(\tkz at d-abs(\tkz at ra-\tkz at rb))}}
+\ifdim \tkzMathResultc pt < 0.1 pt\relax%
+ \tkzURotateAngle(#2,90)(#3) \tkzGetPoint{tkzFirstPointResult}
+  \tkzURotateAngle(#2,-90)(#3) \tkzGetPoint{tkzSecondPointResult}
+\else
+\ifdim \tkzMathResultb pt < 0.1 pt\relax%
+ \tkzURotateAngle(#2,90)(#3) \tkzGetPoint{tkzFirstPointResult}
+  \tkzURotateAngle(#2,-90)(#3) \tkzGetPoint{tkzSecondPointResult}
+  \else
+\ifdim \tkzMathResult pt > 1 pt\relax%
   \tkzURotateAngle(#1,60)(#3)    \tkzGetPoint{tkz at aux}
   \tkzInterCC(#1,#2)(tkz at aux,#1) \tkzGetPoints{tkz at pta}{tkz at ptb}
   \tkzInterCC(#3,#4)(tkz at aux,#1) \tkzGetPoints{tkz at ptc}{tkz at ptd}
@@ -209,6 +219,8 @@
 \else
 \tkzInterCCR(#1,\tkz at ra)(#3,\tkz at rb){tkzFirstPointResult}{tkzSecondPointResult}
 \fi
+\fi
+\fi
 \endgroup
 } 
 \makeatother 

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-modules.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-modules.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-modules.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-utilities.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-utilities.tex}  
 \makeatletter
 %<------------- % chargement des modules ---------------------------------->
 \def\tkz at obj@all{angles,arcs,compass,defcircles,deflines,defpoints,defpointsby,defpointsrnd,defpointswith,polygons,protractor,sectors,show,triangles}%

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-text.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-text.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-text.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c tkz-tools-eu-text.tex}   
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c tkz-tools-eu-text.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                                         tkzText

Modified: trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-utilities.tex
===================================================================
--- trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-utilities.tex	2022-08-24 23:42:51 UTC (rev 64192)
+++ trunk/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-utilities.tex	2022-08-25 20:10:49 UTC (rev 64193)
@@ -10,9 +10,9 @@
 % This work has the LPPL maintenance status “maintained”.
 % The Current Maintainer of this work is Alain Matthes.
 
-\def\fileversion{4.22c}
-\def\filedate{2022/07/28} 
-\typeout{2022/07/28 4.22c  tkz-tools-eu-utilities.tex}  
+\def\fileversion{4.23c}
+\def\filedate{2022/08/24} 
+\typeout{2022/08/24 4.23c  tkz-tools-eu-utilities.tex}  
 \makeatletter
 \pgfkeys{/tkzClip/.cd, 
 space/.store in    = {\tkz at CLI@space},



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