| Woolwich roy. military acad - 1884
...shew that AB touches the circumscribing circle of the triangle CDE. 10. Equal triangles which have **one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional ; and triangles which have one angle... | |
| GEORGE BRUCE HALSTED - 1885
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having **one angle of the one equal to one angle of the other, and** the sides about these angles proportional, are similar. HYPOTHESIS. £ B = £ G, and AB : BC : : FG... | |
| George Bruce Halsted - Geometry - 1886 - 366 pages
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having **one angle of the one equal to one angle of the other, and** the sides about these angles proportional, are similar. HYPOTHESIS. £ B = $. G, and AB : BC : : FG... | |
| E. J. Brooksmith - Mathematics - 1889
...the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 10. Equal triangles, which have **one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional ; and, conversely, triangles which... | |
| New Brunswick. Board of Education - Education - 1889
...Parallelograms of the same altitude are to one another as their bases. 6. Equal triangles 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 - 1890 - 400 pages
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...by the sides about the other, the triangles are equal. (ii.) Conversely: — If two triangles have **one angle of the one equal to one angle of the other,** the rectangle contained by the sides about one of those angles is equal to the rectangle contained... | |
| Queensland. Department of Public Instruction - Education - 1890
...the base. What is the corresponding proposition for the external bisector ? 8. Triangles which have **one angle of the one equal to one angle of the other,** have to one another the ratio which is compounded of the ratios of the sides about the equal angles.... | |
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