| Euclid - Geometry - 1890 - 442 pages
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles... | |
| 1891 - 720 pages
...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... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...permitted to 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... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 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... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 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... | |
| 1895 - 142 pages
...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 - 154 pages
...cn the 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.... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...the sides of the other, they are similar. PLANE GEOMETRY. [BK. IV. PROPOSITION XVIII. 264. Theorem. **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^Ci, A2B2C2, such that Z Cl =... | |
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