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Re: Isometric Circles

Posted by earthcaretech on Mar 13, 2015; 9:49pm
URL: https://forum.librecad.org/Isometric-Circles-tp5711165p5711189.html

This is all very interesting (to someone, I suppose), but I'm no closer to solving my problem.

On 14/03/15 07:07, dxli [via LibreCAD] wrote:
Interesting enough.

To find the inscribed ellipse of a symmetric trapezoid can be converted to find roots of a quartic equation.

The general algorithm by projection of inscribed circle of square doesn't apply here.

There's no solution for asymmetric trapezoid.

stranger573 wrote
Mike Hayes wrote
...
So I'm guessing the code behind the tool is already doing something extra to create a unique solution. Perhaps it is making the ellipse touch the midpoints of the four selected lines?
...
The area of the inscribed ellipse (and other objects) should be the maximum. For this there is only one solution.
I believe that this is a solution for isometric circles too.

Midpoint is not good idea. Example:



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