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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 externally. "
The New Zealand University Calendar - Page 70
by University of New Zealand - 1904
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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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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 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
...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, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...triangles or of two sinrlar polygons, is equal to the ratio of the squares on the corresponding sides. The internal bisector of an angle of a triangle divides...angle ; and likewise the external bisector externally. SANSKRIT. Additional paper. In the additional paper in Sanskrit the marks shall be distributed in the...
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Calendar

University of Allahabad - 1907 - 528 pages
...two triangles have one angle of the one equal to one angle of th'e other and the sides about these equal angles proportional, the triangles are similar....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
...If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar....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
...If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar....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
...two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an ungle of a triangle divides the opposite side internally in the ratio of the sides containing the angle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1911 - 216 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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