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 Archimedes' Book of Lemmas: Proposition 9 - Perpendicular chords

If two chords of a circle intersect at right angles, then the sum of the opposite intercepted arcs are equals. That is, if chords AB and CD are perpendiculars at P, then arc AC + arc BD = arc AD + arc BC.


Geometry: Archimedes Book of Lemmas


 

 

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Last updated: June 29, 2007