 XLI. 2. The perpendicular bisector of a chord passes through the center of the circle and bisects the subtended ares.  New Plane Geometry - Page 121by Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 pagesFull view - About this book
 | J. L. Heilbron - History - 2000 - 344 pages
...figure. ln the case of a triangle. the sides will be chords of the circumscribing circle. We know that the perpendicular bisector of a chord passes through the center of the circle containing it: hence the center of the circumscribing circle (the 'circumcenter'l lies at the intersection... | |
 | Mathematics - 2003 - 442 pages
...point and is perpendicular to a radius at that point. This intersection is the point of tangency. • The perpendicular bisector of a chord passes through the center of the circle. • Isometries are transformations in which each preimage is congruent to its image. Selected References... | |
 | Peter Dale - Technology & Engineering - 2004 - 226 pages
...perpendicular bisectors of the sides of the triangle meet (Box 4.4). Box 4.4 — Bisecting a Chord Rule 4.7. The perpendicular bisector of a chord passes through the center of the circle 4.2 AREAS OF TRIANGLES We shall return to aspects of the geometry of the circle shortly but for the... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...DB. §85 253. COROLLARY 1. A diameter which bisects a chord is perpendicular to it. 254. COROLLARY 2. The perpendicular bisector of a chord passes through the center of the circle. Discussion. Show how to bisect an arc whose center is not given. PLANE GEOMETRY— BOOK II PROPOSITION... | |
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