- #1

member 428835

Hi PF!

Can anyone help me define a coordinate system for a circular arc that makes a specified angle ##\alpha## with a 90 degree wedge? See picture titled Geo.

As an example, a circular arc can be parameterized over a straight line by ##s##, making angle ##\alpha##, via $$\vec T = \left\langle \frac{\sin(s)}{\sin\alpha}, \frac{\cos (s) - \cos \alpha }{\sin\alpha} \right\rangle$$

Can anyone help me define a coordinate system for a circular arc that makes a specified angle ##\alpha## with a 90 degree wedge? See picture titled Geo.

As an example, a circular arc can be parameterized over a straight line by ##s##, making angle ##\alpha##, via $$\vec T = \left\langle \frac{\sin(s)}{\sin\alpha}, \frac{\cos (s) - \cos \alpha }{\sin\alpha} \right\rangle$$