Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 195
similar triangle. Ex. 683. The lines joining the mid-points of the sides of a triangleform a second triangle similar to the given triangle. Ex. 684. ABC is a triangle inscribed in a circle. A line is drawnfrom A to P, any point of BC, and a chord is dmwn from 5 to a point Qin arc BC so that angle… … A PC Given A ABC with BP the bisector of Z ABC.To prove AP-. PC = AB : BC. Argumext 1. Through C draw CE II PB, meeting AB prolonged at E, 2. In A AEC, AP : PC= AB : BE. 3. Now Z 3 = Z 1. 4. And Z 4 = Z 2.6. But Z 1 = Z 2. 6. .-. Z3 = Z4. 7. .-. BC= BE. 8. .. AP : PC = AB : BC, Q.E.D. 1.…
Geometry, Plane · Geometry, Solid
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
