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" 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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 172
by Euclides - 1838
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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 552 pages
...are equiangular their corresponding sides are proportional; and the converse. 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. The internal bisector of an angle of a...
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Calendar

University of Allahabad - 1915 - 786 pages
...equiangular, their corresponding sides are proportion ;• and the converse. If two triangles have one iingle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. The internal hisector of an angle of a...
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Report of the Secretary for Public Instruction ..., Volume 40

Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...points B, E, and C, I > be joined, then AD AE , AB AC BD =: EC £i AD " AE' 3. If two triangles have one angle of the one equal to one angle of the other, and the aides about the equal angles proportionals, the triangles are similar. 4. The areas of similar triangles...
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Statistics of Land-grant Colleges and Universities, Volume 2, Issues 17-31

United States. Office of Education - Agricultural colleges - 1917 - 1336 pages
...drawn at right angles to AC to meet .iCioE. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches...
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The Money Value of Education, Issues 21-34

Alexander Caswell Ellis - Education - 1917 - 1098 pages
...at right angles to AC to meet .1 C in E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove tha't the triangles are similar. Er,EMEXTART TjUf.ONO ll El'KT....
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 184 pages
...triangle DEF, 9 units long. 132 SEHIOR ASSOCIATE MATHEMATICS. 7. Prove that, if two triangles have one angle of the one equal to one angle of the other, and the sides about those angles proportional, then the triangles are similar. A CB, DB C are two right-angled triangles...
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...at right angles to AC to meet A. C in E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. ELEMENTARY TRIGONOMETRY. ( Two...
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Bulletin, Issues 27-40

United States. Office of Education - 1918 - 1128 pages
...drawn at right angles to AC to meet AC in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 pages
...are equiangular their corresponding sides are proportional : and the converse. 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. The ratio of the areas of similar triangles...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...angles equal, (34) C. Three sides proportional. (55) CH. XII] SIMILAR FIGURES . 4. If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle of each proportional, then the third angles of the triangles are equal or supplementary;...
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