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

Online Geometry

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

  

Archimedes' Book of Lemmas: Proposition 11
 
 

Home | SearchGeometry | Problems | All Problems | Visual Index | 651-660 | Archimedes' Lemmas | Circles | Perpendicular | Right Triangle | Perpendicular Chords | Chord | Cyclic quadrilateral with perpendicular diagonals | Email | Solution / comment | By Antonio Gutierrez