| Mathematics - 1871
...the proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) **have one angle of the one equal to one angle of the other;** namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
....). PROP. I. — Triangles of the same altitude are one to the other as their bases. 6. PROP. VI. — **If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the** triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| War office - 1858 - 12 pages
...the angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. 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. Show also how this follows from... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...pence in the pound is the income tax.? 10. Extract the square root of 6575-5881. Voluntary Portion. 2. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** two other angles proportionals, each of the remaining angles being greater than a right angle, the... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1859
...a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. 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. 19. Investigate a trigonometrical... | |
| Euclides - 1860
...to the angle at D ; therefore the triangle ABC is equiangular to the triangle DEF. oN v1. TIIEOIIEM. **If two triangles have one angle of the one equal'...the sides about the equal angles proportionals, the** triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| Euclid - Geometry - 1892 - 518 pages
...sides at E, F: shew that the triangle AEF is a mean proportional between the triangles FED, EDC. 2. **If two triangles have one angle of the one equal to one angle of the other, and** a second angle of the one supplementary to a second angle of the other, then the sides about the third... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...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 similar, and that those angles which are... | |
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