 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...coincide (?) (39). That is, DE is II to BC. QBD 308. THEOREM. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. Given: A ABC; BS the bi- PN.. -• * --••• sector of Z ABC. \ --•••... To Prove : AS :... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...APC. Prove AB x AC = AQ x AP. PROPOSITION XVIII. THEOREM 432. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. A PC Given A ABC with BP the bisector of Z. ABC. To prove AP:PC = AB :BC. ARGUMENT 1. Through C draw... | |
 | Geometry, Plane - 1911 - 192 pages
...theorems true of the figure thus formed. 3. The bisector of an angle (interior or exterior) of a triangle divides the opposite side into segments which are proportional to the other two sides. 4. Show how to construct a square (a) equivalent to a given parallelogram; (b) equivalent to a given... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...APC. Prove AB x AC = AQ x AP. PROPOSITION . XVIII. THEOREM 432. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the other two sides. JK A PC Given A ABC with BP the bisector of Z ABC. To prove AP:PC = AB:BC. ARGUMENT 1. Through C draw... | |
 | Joseph Victor Collins - Algebra - 1913 - 362 pages
...and conversely. Thus, if n is parallel to m, a _ — c _. 2 — ^. a + ^ c b~d' c~d' b d a + b c+d 13. The bisector of an angle of a triangle, whether...are the bisectors of the interior and exterior angle (7, we have DB CBi D'B CB' 14. Two triangles are similar (that is, their corresponding angles are equal... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...PC. Prove that MQ is parallel to .VP. PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC = AD : DC. Proof. Draw AE II DB, to meet CB, produced,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...BC in (?. Prove that FG II AB. • PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC = AD : DC. Proof. Draw AS II DB, to meet CB, produced,... | |
 | Joseph Victor Collins - Algebra - 1918 - 360 pages
...whole sides, and conversely. Thus, if n is parallel to m, ac. £-&. a + b — c~d' b a+b c+d b~d' d 13. The bisector of an angle of a triangle, whether...are proportional to the other two sides. Thus, if ABO is a triangle and CD and CD' are the bisectors of the interior and exterior angle C, we have AD... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...meets BC in G-. Prove that FG II AB. PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC= AD : DC. Proof. Draw AE II DB, to meet CB, produced,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...PC. Prove that MQ is parallel to NP. PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC = AD : DC. Proof. Draw AE II DB, to meet CB, produced,... | |
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The angle bisector of a triangle divides the opposite side into segments which are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. 
