 Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.  Complete School Algebra - Page 466by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pagesFull view - About this book
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of the other are to each other as the products of the sides including the equal angles, prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. Ex. 1126. In a circle of radius 5 a regular hexagon is inscribed.... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...AABC AA'B'C'' e "v' be :w' bc § 334, (2) Why? Ax. 4 Ax. 1 338. COROLLARY. The bisector of an interior angle of a triangle divides the opposite side into segments which are to each other as the adjacent side's of the triangle. AT at a AT Suggestion. But also This corollary... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...b'c'' be b'c'' sas § 334, (2) Why? Ax. 4 Ax. 1 AA'B'C' 338. COROLLARY. The bisector of an interior angle of a triangle divides the opposite side into segments which are to each other as the adjacent sides of the triangle. AT at a Suggestion. — — = — = - . ., AT... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...segments having the same ratio, the line is said to be divided harmonically. PROPOSITIOK XI. THEOREM 279. The bisector of an angle of a triangle divides the...segments which are proportional to the adjacent sides. M Given the bisector of the angle C of the triangle ABC, meeting AB at M. To prove that AM: MB = CA:... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...side is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove that AD/DB = AC/BC. Proof.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...side is to its corresponding segment, then t/te line is parallel to the third side. 149. Theorem III. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the sides of the angle. 150. Theorem IV. If a series of parallels be cut by two lines, the corresponding... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. Tlie bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove that AD/DB = AC /BC. Proof.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...•. NC = DP : 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...AC, that meets 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... | |
 | Education - 1914 - 690 pages
...is equal to the product of the parts of the other. 5. The bisector of an interior angle of any plane triangle, divides the opposite side into segments which are proportional to the adjacent sides. Prove. 6. The sum of the squares of the four sides of any quadrilateral is equal to the sum of the... | |
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