| 1891
...and those which are opposite to the equal angles are homologous sides. 6. 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. NB — Female candidates will receive... | |
| Euclid - Geometry - 1892 - 518 pages
...at E, F: shew that the triangle AEF is a mean proportional between the triangles FED, EDC. 2. If two **triangles have one angle of the one equal to one angle of the other, and** a second angle of the one supplementary to a second angle of the other, then the sides about the third... | |
| 1893
...intersect, tangents drawn to them from any point in their common chord produced are equal. 2. If two **triangles have one angle of the one equal to one angle...equal angles proportionals, the triangles shall be** similar. If two straight lines PQ, XY intersect in a point 0 so that PO: OX- YO: OQ, prove that P,... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...attempt more than eight question*. The values attached to the questions are shown in brackets. 1. If two **triangles have one angle of the one equal to one angle of the other, and the sides about** these equal angles proportional, show that the triangles are similar, and that those angles which are... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two **triangles have one angle of the one equal to one angle of the other, and the** including sides proportional, the triangles are similar. Given AA^d, A2B2C2, such that ZG! = Z C2 and... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two **triangles have one angle of the one equal to one angle of the other, and the** including sides proportional. the triangles are similar. Given A A1 B1d, A2B2C2, such that Z d = Z... | |
| 1895
...Being given a side of a regular pentagon, construct it. 4. Triangles which are equal in area, and which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal... | |
| 1897
...same arc. Deduce that all angles in the same segment of a circle are equal to one another. 4. If two **triangles have one angle of the one equal to one angle of** tt;e oiher, and the sides about the equal angles proportionals, shew that the triangles are similar.... | |
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