 | Euclid - 1890 - Liczba stron: 442
....-. 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 - Liczba stron: 718
...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... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - Liczba stron: 806
...the common pump. IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal ; then if the third -angle in each be both acute, both... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - Liczba stron: 800
...the common pump. IM GEOMETRY. Time, 1 hr. 30 win. 1 or 2 and all tlie rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal; then if the third angle in each be both acute, both obtuse,... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - Liczba stron: 894
...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 - 1895 - Liczba stron: 344
...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 - 1895 - Liczba stron: 346
...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 - Liczba stron: 142
...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 - Liczba stron: 154
...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 - 1899 - Liczba stron: 265
...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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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. 
