Recent content by Corse
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Graduate 'curve-in' condition in an equiangular spiral
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...- Corse
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- Condition Spiral
- Replies: 1
- Forum: Differential Geometry
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Regarding volume of an ellipsoid bounded by 2 planar cutting planes
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...- Corse
- Post #5
- Forum: Calculus and Beyond Homework Help
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Regarding volume of an ellipsoid bounded by 2 planar cutting planes
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)...- Corse
- Post #3
- Forum: Calculus and Beyond Homework Help
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Regarding volume of an ellipsoid bounded by 2 planar cutting planes
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...- Corse
- Thread
- Bounded Cutting Ellipsoid Planes Volume
- Replies: 4
- Forum: Calculus and Beyond Homework Help