Book:Euclid/The Elements/Book III

Contents

 * Book III: Circles
 * Definitions
 * Proposition 1: Finding Center of Circle
 * Proposition 2: Chord Lies Inside its Circle
 * Proposition 3: Conditions for Diameter to be Perpendicular Bisector
 * Proposition 4: Chords Do Not Bisect Each Other
 * Proposition 5: Intersecting Circles Have Different Centers
 * Proposition 6: Touching Circles Have Different Centers
 * Proposition 7: Relative Lengths of Lines Inside Circle
 * Proposition 8: Relative Lengths of Lines Outside Circle
 * Proposition 9: Condition for Point to be Center of Circle
 * Proposition 10: Two Circles Have At Most Two Points of Intersection
 * Proposition 11: Line Joining Centers of Two Circles Touching Internally
 * Proposition 12: Line Joining Centers of Two Circles Touching Externally
 * Proposition 13: Circles Touch at One Point at Most
 * Proposition 14: Equal Chords in Circle
 * Proposition 15: Relative Lengths of Chords of Circles‎