| 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... | |
| University of Cambridge - 1884
...of section shall bisect the exterior angle made by producing one of the sides through the vertex. 9. **Equal parallelograms, which have one angle of the...about the equal angles reciprocally proportional.** WEDNESDAY, December 5, 1883. 12$ — 3. EUCLID. (B) 1. DRAW a straight line perpendicular to a given... | |
| 1884
...pentagon in 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...about the equal angles reciprocally proportional.** If one of the said sides in the one triangle be equal to one of the said sides in the other triangle... | |
| Euclides - 1884
...angle of the other, have their sides about the equal angles reciprocally proportional. Conversely ; **Parallelograms which have one angle of the one equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, are equal. G' (1) Let AB and BC be... | |
| Woolwich roy. military acad - 1884
...a parallelogram ACBD; bisect AC, BD, in E and F. Join DE, FC, cutting AB in G and H. 11. Triangles **which 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. II. ARITHMETIC.... | |
| 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 you... | |
| 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 :... | |
| George Bruce Halsted - 1886 - 366 Seiten
...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 :... | |
| Association for the Improvement of Geometrical Teaching - 1888
...intercepted between the sides of each triangle are equal to one another. THKOR. 3. If two triangles **have one angle of the one equal to one angle of the other** and the sides about these angles proportional, they are similar, and those angles which are opposite... | |
| |