 The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.  Plane Geometry - Page 185by Mabel Sykes, Clarence Elmer Comstock - 1918 - 322 pagesFull view - About this book
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...Substituting this value in (2), 6' = <?* 4- c * + 2am. §3'7 §317 QED PROPOSITION XX. THEOREM 327 '. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the oilier two sides. GIVEN — in the triangle ABC, AD the... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 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 parts which are proportional to the sides adjacent to them. 15. A quarter-mile running-track consists... | |
 | George Albert Wentworth - Logarithms - 1897 - 384 pages
...of § 33 become when one of the angles is a right angle ? 2. Prove by means of the Law of Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides. 3. What does Formula [26] become when -4 = 90° ? when... | |
 | United States Naval Academy - 1899 - 624 pages
...internally at C and externally at D ; which are the internal segments'? and which the external? Prove that the bisector of an angle of a triangle divides the opposite side internally and externally into segments proportional to the adjacent sides. (e) The sides of a triangle are a,... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...such that M'A : M'B = 3:5. (2) Comparing (1) and (2), MA:MB = M'A : M'B. PROPOSITION XV. THEOREM. 348. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. AM B Let CM bisect the angle C of the triangle... | |
 | William James Milne - Geometry - 1899 - 404 pages
...bisector compare with the ratio of the sides of the triangle adjacent to these segments ? Theorem. The bisector of an- angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. A Data: Any triangle, as ABC, and CD the... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...bisector compare with the ratio of the sides of the triangle adjacent to these segments ? Theorem. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. Data: Any triangle, as ABC, and CD the... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...such that M'A:M * B = 3:5. (2) Comparing (1) and (2), MA: MB = M'A: M'B. PROPOSITION XV. THEOREM. 348. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. E AMB Let CM bisect the angle C of the... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...of Prop. 84. DE and AF should both be taken equal to the second line. Proposition 86. Theorem. 118. The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides. BDC Hypothesis. In the A ABC, AD is the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...If two triangles have their sides respectively proportional, the triangles are similar. THEOREM V. The bisector of an angle of a triangle divides the opposite side into segments proportional to the sides of the angle. THEOREM VI. 10 Conversely, if two polygons are... | |
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