IParameterize a circle based on the contact angle with a wedge Hi PF! Given a 2D plane, the following is a parameterization of a circular arc with contact angle ##\alpha## to the x-axis: $$\left\langle \frac{\sin s}{\sin\alpha},\frac{\cos s - \cos\alpha}{\sin\alpha} \right...
We have the intersection of a cylindrical surface and a plane, which gives us a circle, an ellipse or lines. To parameterize the curve of intersection we use cylindrical coordinates. Answer and Explanation: We parametrize the cylindrical surface by using polar coordinates for its...
Find a parameterization of the space curve C in R^3 that is formed by the intersection of the sphere x^2 + y^2 + z^2 = 1 with the plane z = x + y. Find a parameterization of the space curve C in \mathbb{R}^3 that is formed by the intersection of ...