| Euclid - Geometry - 1890 - 442 pages
...: aS. .-. AC : AS = ac : aS. .-. A CSA is simr. to A cS a, by vi. 6. 254 Proposition 6. THEOREM — If two triangles have one angle of the one equal to one angle of the other, and the sides about these angles proportional, the triangles are similar ; and... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...CE is || to BD; .-. ABAC=ADAE. Ex. 707. — Demonstrate VI. 15 by means of VI. 14. Ex. 708. — (i.) If two triangles have one angle of the one equal to one angle of the other, and the rectangle contained by the sides about one of these angles equal to the... | |
| 1891 - 718 pages
...the common pump. IM GEOMETRY. Time, 1 hr. SO mm. 1 or 2 and all the rest make a full paper. 1. («) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal ; then if the third angle in each... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, show that the triangles are... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional. the triangles are similar. Given A A1 B1d,... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional, the triangles are similar. Given AA^d, A2B2C2,... | |
| 1897 - 154 pages
...cn the same arc. Deduce that all angles in the same segment of a circle are equal to one another. 4. If two triangles have one angle of the one equal to one angle of tt;e oiher, and the sides about the equal angles proportionals, shew that the triangles are... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...the sides of the other, they are similar. PLANE GEOMETRY. [BK. IV. PROPOSITION XVIII. 264. Theorem. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional, the triangles are similar. Given AA^Ci, A2B2C2,... | |
| |