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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.
See also:
Archimedes' Book of Lemmas: Proposition 11 using mobile apps
Books of Lemmas Index
Proposition 1
Proposition 2
Proposition 3
Proposition 4
Proposition 5
Proposition 6
Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12
Proposition 13
Proposition 14
Proposition 15
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