 The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.  Plane and Solid Geometry - Page 162by George Albert Wentworth, David Eugene Smith - 1913 - 470 pagesFull view - About this book
 | George Albert Wentworth - 1889 - 276 pages
...142. Theorem. Lines meeting in a common point divide parallels into proportional parts. 143. Theorem. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 144. Theorem. The bisector of an exterior angle of a triangle divides... | |
 | George Albert Wentworth - 1889 - 264 pages
...142. Theorem. Lines meeting in a common point divide parallels into proportional parts. 143. Theorem. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 144. Theorem. The bisector of an exterior angle of a triangle divides... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...difference of two external segments. BOOK III.— PROPORTIONAL LINES. Proposition 14. Theorem. 303. The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. Hyp. Let AD bisect the ZA of the A ABC. To prove DB : DC = AB :... | |
 | Euclid - Geometry - 1890 - 442 pages
...forming the angle, so as to be terminated by these lines, the parallels so drawn are equal. 13. If the bisector of an angle of a triangle divides the opposite side unequally, the greater segment is adjacent to the greater side. 14. If an altitude of a triangle divides... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...parts intercepted by both parallels and non-parallels form a proportion. 322. Converse of 321. 323. The bisector of an angle of a triangle divides the opposite side into segments proportional to the other two sides. Sug. From the vertex of the bisected angle extend one of the sides,... | |
 | Yale University - 1892 - 200 pages
...textbook you have studied and to what extent.] 1. To draw a common tangent to two given circles. 2. The bisector of an angle of a triangle divides the...segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal to the product of its base and altitude. 4. How do you find... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...side. Find the third side and also the area of the triangle. (Give one solution only.) 14 Prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the other two sides. 15 Describe the method of circumscribing a circle about a triangle.... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...line which divides two sides of a triangle proportionally is parallel to the third side. 221. Theorem. The bisector of an angle of a triangle divides the opposite side into two segments proportional to the other two sides. 222. Theorem. The bisector of an exterior angle of... | |
 | George Albert Wentworth - Surveying - 1895 - 422 pages
...of § 33 become when one of the angles is a right angle ? 2. Prove by means of the Law ef 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 Л = 90°? when A =... | |
 | George Albert Wentworth - Navigation - 1895 - 436 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 A = 90° ? when A =... | |
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