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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 of Geometry: The First Six, the Eleventh and Twelfth Books - Side 247
av Euclid - 1765 - 464 sider
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Calendar, Del 4

University of Calcutta - 1913 - 816 sider
...touching the first one at A and also 6 touching the line EC. NB — Required, the constructions only. 8. If two triangles have one angle of the one equal to one angle 7 of the other, and the sides about these equal angles proportional, prove that the triangles are similar....
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Regulations

University of Calcutta - 1914 - 430 sider
...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. If a polygon is divided into...
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Calendar, Del 3

University of Calcutta - 1914 - 822 sider
...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

1914 - 914 sider
...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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Mathematics in the Lower and Middle Commercial and Industrial ..., Utgaver 34-42

Edson Homer Taylor - 1915 - 552 sider
...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...
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Bulletin, Utgaver 38-46

1915 - 906 sider
...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...
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Bulletin, Utgaver 33-43

1915 - 816 sider
...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...
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Calendar

University of Allahabad - 1915 - 786 sider
...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...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 184 sider
...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...
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Statistics of Land-grant Colleges and Universities, Volum 2,Utgaver 17-31

United States. Office of Education - 1917 - 1336 sider
...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...
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