Esquema
Geometry of Circles
Book 4B Chapter 11-12
Tabla de contenidos
Chapter 11 Basic Properties of Circles
- Theorem 1: Perpendicular from centre to chord bisects chord
- Theorem 2: Line Joining Centre to Mid-pt. of Chord Perp. to Chord
- Theorem 3: Perp. Bisector of Chord passes through Centre
- Theorem 4 Equal Chords, Equidistant from Centre
- Theorem 5: Chords Equidistant from Centre are Equal
- Theorem 4-5 Distances between Chords and Centre
- Theorem 6 Angle at Centre Twice Angle at Circumference
- Proof of Theorem 6: Angle at Centre Twice Angle at Circumference
- Theorem 7: Angle in Semi-circle
- Theorem 9: Angles in the same segment
- Theorem 10-12: Relationships among Chords, Arcs and Angles
- Theorem 13: Arcs prop to angle at centre
- Theorem 14: Arcs prop to angles at circumference
Chapter 12 More about Basic Properties of Circles