I need to create a parabola (a spline with do) in which the curve has a given length and a the end points are a given length (shorter, obviously).
How might I do that?
How 'bout a picture then?
I know the two end points. And I know the length of the curve.
I need to know a vertex that produces the desired length of the curve.
I’m using online calculators for that kind of problems. Once you’ve got the right value calculated, you can use the given tools of Rhino.
Online calculator (german): http://www.arndt-bruenner.de/mathe/scripts/kreissehnen.htm
Once the coordinates of the ends and apex of a symmetric parabola are known then the corresponding parabola can be created in Rhino using InterpCrv with Degree=2 and Knots=Uniform…(Do not use CurveThroughPt. It will create a 5 control point curve with a slightly different shape.)
Thanks all.