| Mathematical association - 1883
...similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. If two triangles **have one angle of the one equal to one angle of the other, and the** sides about one other angle in each proportional, so that the sides opposite the equal angles are homologous,... | |
| University of Glasgow - 1883
...EBC together make up a right angle. 4. Inscribe u circle in a given triangle. 5. Parallelograms that **have one angle of the one equal to one angle of the other, and** their, sides about the equal angles reciprocally proportional, are equal to one another. 6. Simplify... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 15. THEOREM. Equal triangles which **have one angle of the one equal to one angle of the other,** have their fides about the equal angles reciprocally proportional; and triangles which have one angle... | |
| Dalhousie University - 1884
...the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that **have one angle of the one -equal to one angle of the other,** have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why... | |
| University of Cambridge - 1884
...exterior angle made by producing one of the sides through the vertex. 9. 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. WEDNESDAY, December 5, 1883. 12$... | |
| 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... | |
| 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... | |
| 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 : GH.... | |
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