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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: Viz. the First Six Books, Together with the Eleventh ... - Side 149
av Euclides - 1816 - 528 sider
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - 1910 - 316 sider
...and meets DF at H. Prove that A EKH : A FKH = ED : DF. THEOREM 10 If two triangles have one angle of one equal to one angle of the other and the sides about these angles proportional, the triangles are similar, the equal angles being opposite corresponding...
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Calendar

University of Allahabad - 1911 - 726 sider
...two triangles are equiangular, their corresponding sides are proportional ; and the converse. If wo 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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The Dublin University Calendar, Volum 1

Trinity College (Dublin, Ireland) - 1911 - 614 sider
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB....
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Special Reports on Educational Subjects, Volumer 26-27

Great Britain. Board of Education - 1912 - 1044 sider
...If two triangles are equiangular their corresponding sides are proportional ; and the converse. 38. 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. 39. The internal bisector of an angle of...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 sider
...internally, 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 - 1913 - 768 sider
...equiangular, 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 - 1913 - 274 sider
...side. 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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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 triangles...
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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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