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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. "
Elements of geometry: consisting of the first four,and the sixth, books of ... - الصفحة 142
بواسطة Euclides - 1842
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Calendar

University of Allahabad - 1910 - عدد الصفحات: 682
...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 an^'le of the other and the sides about these equal angles proportional, the triangles are similar....

Calendar

University of Allahabad - 1911 - عدد الصفحات: 726
...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...

The Dublin University Calendar, المجلد 1

Trinity College (Dublin, Ireland) - 1911 - عدد الصفحات: 614
...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....

Special Reports on Educational Subjects, المجلدات 26-27

Great Britain. Board of Education - 1912 - عدد الصفحات: 1044
...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...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - عدد الصفحات: 632
...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,...

The Calendar

University of South Africa - 1913 - عدد الصفحات: 768
...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...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1913 - عدد الصفحات: 274
...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...

Calendar, الجزء 4

University of Calcutta - 1913 - عدد الصفحات: 816
...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....

Regulations

University of Calcutta - 1914 - عدد الصفحات: 430
...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...

Calendar, الجزء 3

University of Calcutta - 1914 - عدد الصفحات: 822
...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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