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Trirectangular Corner Locus (Posted on 2019-04-27) |
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Given a circle of radius 1, the locus of all P such that there are points A, B, C on the circle such that ∠APB = ∠BPC = ∠CPA = 90 is a surface of a volume that has a volume V. Find V.
This is a 3D generalization of the fact that the locus of all on a circle makes a right triangle with the diameter.
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