For any 2 pairs of points (xe,ye) & (xs,ys), I can fit various equiangular spiral through those 2 points based on the equation r = ke^(aθ).
A typical one is illustrated below:
Then, I can vary the origin of the spiral -> i.e. (xc,yc) to generate another equiangular spiral which passes through...
Hi HallsofIvy
I have a couple of questions:
1) May I know how did you get limits for r to be r = 0 to 1-h? Especially for the part r = 1-h
2) For z', should the bottom limits be -h instead of h?
3) Also, does converting the problem to cylindrical coordinates make it more convenient to solve...
Hi HallsofIvy
Thank you for your quick response! That was helpful to get me going. I understand the jacobian transformation from the cartesian to the elliptical-cylindrical space.
I have a couple of questions:
1) Elliptical-cylindrical coordinates was used where x=arcos(θ), y=brsin(θ)...
Homework Statement
Hi I require to compute the volume of a ellipsoid that is bounded by two planes. The first horizontal (xy) plane is cutting directly along the mid-section of the ellipsoid. The second horizontal plane is at a z = h below the first horizontal plane. The volume of the...