Problem 651: Archimedes' Book of Lemmas: Proposition 11 - Perpendicular Chords and Radius

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If two chords AB, CD in a circle of radius R intersect at right angles in a point P, not being the center,
then AP2 + BP2 + CP2 + DP2 = 4.R2.

  

Archimedes' Book of Lemmas: Proposition 11
 
 

  

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