[pstricks] Geradenbüschel

[Hendrik Maryns]

Hallo,

I’d like to draw something similar to the stain example, but that one is
far too complex for a beginner like me.

What I like is several (say, 4), lines that go through one point, say
(7,10) in different directions.  That would be easy if it weren’t so
that I’d like those lines to protrude in both directions.  This is a
thing which in projective geometry is known as a ‘Geradenbüschel’, a
bundle of lines.

Something like this:
http://mathenexus.zum.de/html/extemporale/11T/1/E1_A1_11TA_A11130_images/IMG0074.PNG

but without the axes.

Is there a way to do this without having to calculate several lines that
go through one point?  Also, I want those lines to intersect with still
other lines and label the intersections.  \ABinterCD seems promising
there, but then again, I would need to know other points on the lines.

Or maybe someone has a suggestion for another graphical program, with
which one can do stuff like this?

Cheers, H.
-- 
Hendrik Maryns
http://www.tcl-sfs.uni-tuebingen.de/hendrik/
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