Hello Laurens,

I still don't know what you really want. Plots only?

In the following notebook you will find a procedure which generates a plot similar to that you gave above. The problems of the lengths of the Magenta-lines is solved.

p1, p2 are the points delimiting the line you want to subdivide, cp is the point of convergence, n obvious.

If you want more than plots you can find vectors and functions by typing their names after running the procedure.

You should play around with the inputs, and of course it could be necessary to adapt the Options in the ParametricPlot-statments (Dashing, Pointsize, colors etc.).

Attachments:

wcom20191004.nb

Hello Laurens,

I modified the notebook having calculated the appropriate lengths of the magenta lines and I attach it here (under the same date - you might consider to save it under another name).

You get a graphic very similar to yours with

convpoint = {0, 0};
p1 = {10, -3};
p2 = {10, 3};
n = 6;
linea = p1 + (p2 - p1) t

In this picture the magenta lines start always from the "upper" points of "subdivisions".

To get your pic one has to implement a logic that if the magenta line points to the negative direction it should start at the lower point. I did that in the 2nd notebook.

I am sure, all this can be reorganized to yield a more stringent procedure.

The question remaining is what do you want? A picture or the equations of the magenta lines?

Attachments:

wcom20191002.nb

wcom20191002a.nb

Hi Hans, thanks for your solution, should be helpful. I was wondering as well rather than measure the lengths of the magenta lines how to derive the subdivisions for length "a" in order to produce magenta lines of equal length? It's important that the magenta lines do no overlap the thicker black dashed lines