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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 143
by Euclid, James Thomson - 1837 - 390 pages
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Calendar, Part 3

University of Calcutta - 1914 - 822 pages
...is required.) (b) Prove that each side is bisected at its point of contact 7 with the circle. 8. (a) If two triangles have one angle of the one equal to one 8 angle of the other, and the sides about these equal angles proportional, the triangles are similar....
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Journal of Education

Education - 1914 - 914 pages
...thru which they pass. 5. Divide a given straight line internally and externally in a given ratio. 6. If two triangles have one angle of the one equal to one angfe of the other, their areas are proportional to the rectangles contained by the sides about the...
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Bulletin, Issues 33-43

Education - 1915 - 816 pages
...converse. If two triangles 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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Bulletin, Issues 38-46

Education - 1915 - 906 pages
...converse. If two triangles 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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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 552 pages
...converse. If two triangles 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
...in I) and E, and the 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
...square on AB. BE is 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
...square on AB. BE is drawn 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
...circumscribing circle of the 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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