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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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 141
by Robert Simson - 1827 - 513 pages
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...the straight line through their centres passes through the point of contaot. 10. Prove that if two triangles have one angle of the one equal to one angle of the other, and the aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,...
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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...their corresponding sides are proportional, and conversely. Definition of similar triangles. 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 and external bisectors of...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1913 - 274 pages
...9. Show how to construct a regular pentagon upon a given finite straight line. 10. Prove that if two triangles have one angle of the one equal to one angle of the other tod the sides about those angles proportional the triangles will be similar. 11. Show how to divide...
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Regulations

University of Calcutta - 1914 - 430 pages
...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. If a polygon is divided into triangles...
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Bulletin, Issues 38-46

Education - 1915 - 906 pages
...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 33-43

Education - 1915 - 816 pages
...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
...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
...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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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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