I’m trying to find a method of defining an ellipse. This can either be proceedural in grasshopper or mathematical but I can’t figure out either.
I can’t seem to upload an image so I’ll try and describe my problem.
I want an ellipse that has it’s major axis on the X axis with the furthest point being at a known location (x1,0). The ellipse must pass through two other points with known gradients which are mirrored in the X-axis.
Now, I need to find the major and minor axis values (a and b) and also the centre of the ellipse (x0,y0). I have the two points (x2,y2) and (x2,-y2) and their gradient vectors. To me there is a single solution which should be definable using either maths for geometry, but I can’t figure it out.
I wish I could upload an image, but I can’t.
Please help, thanks,