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

Online Geometry

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
 
 

Home | SearchGeometry | Problems | All Problems | Visual Index | 641-650 | Archimedes' Lemmas | Circles | Perpendicular | Angles | Perpendicular Chords | Chord | Cyclic quadrilateral with perpendicular diagonals | Email | Solution / comment | By Antonio Gutierrez