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" 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 127
by University of Calcutta - 1907
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 55-59

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,...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

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....
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Elementary Geometry: Practical and Theoretical

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...
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Science Examinations ... Reports, Etc

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...
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School: A Monthly Record of Educational Thought and Progress, Volume 4

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...
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Calendar

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...
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Calendar

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...
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Atti Del ... Congresso Internazionale Dei Matematici ...

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...
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Calendar

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...
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Report of the Secretary for Public Instruction ...

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...
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