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. Calendar - Page 127by University of Calcutta - 1907Full view - About this book
| United States Naval Academy - 1899 - 624 pages
...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,... | |
| Education - 1903 - 692 pages
...angle of the other and the sides about these equal angles proportional, the triangles are similar. **The internal bisector of an angle of a triangle divides...angle, and likewise the external bisector externally.** The ratio of the areas of similar triangles is equal to the ratio of the squares on corresponding sides.... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...base BC (see p. 304). Ex. 1753. Repeat Ex. 1752 with a triangle of different shape. THEOREM 8 (i). **The internal bisector of an angle of a triangle divides...internally in the ratio of the sides containing the angle.** DC fig. 323. Data ABC is a triangle, AD bisects L. BAC internally and cuts BC at D. DB AB To prove... | |
| 1904 - 386 pages
...altogether. No candidate can be passed who fails to obtain marks in any one section. A. 41. Show that **the internal bisector of an angle of a triangle divides...internally in the ratio of the sides containing the angle.** In a triangle ABC the sides AB and AC are equal; D is a point in AS, and E a point in AB produced through... | |
| Ed - 1905 - 272 pages
...reasoning, and show that they are independent of the angle at which AB and CD intersect. (9) Show that **the internal bisector of an angle of a triangle divides the opposite side** in the ratio of the sides containing the angle. The internal and external bisectors of the angle ВАС... | |
| University of Allahabad - 1907 - 528 pages
...angle of th'e other and the sides about these equal angles proportional, the triangles are similar. **The internal bisector of an angle of a triangle divides the opposite** sides internally in the ratio of the sides containing the angle, and likewise the external bisector... | |
| University of Allahabad - 1908 - 568 pages
...angle of the other and the sides about these equal angles proportional, the triangles are similar. **The internal bisector of an angle of a triangle divides the opposite** sides internally in the ratio of the sides containing the angle, and likewise the external bisector... | |
| Mathematics - 1909 - 605 pages
...angle of the other and the sides about these equal angles proportional, the triangles are similar. **The internal bisector of an angle of a triangle divides...of the sides containing the angle, and likewise the** externally. The ratio of the areas of similar triangles is equal to the ratio of the squares on corresponding... | |
| University of Allahabad - 1909 - 638 pages
...angle of the other, and the s'des about these equal angles proportional, the triangles are similar. **The internal bisector of an angle of a triangle divides the opposite side internally in the ratio** ot the sides containing the angle and likewise the external bisector externally. The ratio of the areas... | |
| Queensland. Department of Public Instruction - Education - 1911 - 218 pages
...If in two triangles ABC and DEF, f£ = §£ = £?, &f r D DK then the triangles are equiangular. 2. **The internal bisector of an angle of a triangle divides...internally in the ratio of the sides containing the angle.** 3. The latio of the areas of similar polygons is equal to the ratio of the squares on corresponding... | |
| |