 | John Playfair - Geometry - 1829 - 210 pages
...and the sides about those angles proportional, that is, BA to AC as EH to DF; the triangles ABC, DEF are equiangular, and have those angles equal which are opposite to the homologous sides, namely, the angle ABC equal to the angle DEF, and the angle ACB equal to DFE. At the points D, F, in... | |
 | Civil service - 1871 - 264 pages
...one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and have those angles equal which are opposite to the homologous sides. Under what given circumstances does Euclid prove that two triangles will be similar ? 4. When is a... | |
 | Euclides - 1885 - 340 pages
...(D) in the other, and the sides about these angles proportional (BA : AC : : ED : DF), the triangles are equiangular, and have those angles equal which are opposite to the homologous sides. Dem. — Make the same construction as in the last figure ; then the triangles ABC, DEG are equiangular.... | |
 | 1885 - 522 pages
...parallel. 4. If the sides of two triangles, about each of their angles, are proportionals, the triangles are equiangular and have those angles equal which are opposite to the homologous sides. The side BC of a triangle ABC is, produced to D, so that the triangles ABD, ACD are similar. Prove... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...(D) in the other, and the sides about these angles proportional (BA : AC : : ED : DF), the triangles are equiangular, and have those angles equal which are opposite to the homologous sides. Dem. — Make the same construction as in the last figure ; then the triangles ABC, DEG are equiangular.... | |
 | 1870 - 964 pages
...one angle of the other, and the sides about the equal 'angles proportionals, the triangles shall be equiangular, and have those angles equal which are opposite to the homologous sides. Under what given circumstances does Euclid prove that two triangles will be similar ? 4. When is a... | |
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... equiangular, and have those angles equal which are opposite to the homologous sides. 