| Woolwich roy. military acad - 1884
...in E, 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... | |
| 1884
...a given circle. Inscribe a regular figure of ten sides in a given circle. 3. 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. If one of the said sides in the... | |
| Euclides - 1884
...= ir BC: ir FE; • ||m AB : ||m FE = ir BC: r FE; PROPOSITION 15. THEOREMS. 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. Conversely : Triangles which have... | |
| 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... | |
| New Brunswick. Board of Education - Education - 1889
...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. N. В.- --Female candidates will... | |
| E. J. Brooksmith - Mathematics - 1889
...are 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... | |
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