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Trirectangular Corner Locus (Posted on 2019-04-27) Difficulty: 4 of 5
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.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
Solution, I thinkFrankM2019-05-01 04:53:59
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