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oh you use the math tag here for latex
There are no posts about movie, I see.
A space odyssey, first page
I tried the approach of defining point M as the midpoint of AB and point N as the midpoint of CD, and also tried the approach of defining N as a point on CD such that AM=MN, effectively working backwards, but it didn't work...
If ANB = 90, the midpoint of the hypotenuse, M, will also be the circumcenter of ANB, therefore AM=BM=NM. I don't know how to prove that ANB is a right triangle.
I also used some arc lengths and tangents to prove that angle BDP is congruent to ABP
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