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Geometry Problem 648: Archimedes' Book of Lemmas: Proposition 9, Perpendicular chords, Arcs

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 8
 
 


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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