| Euclides - 1855
...extremity of one of the parallels passes through the extremities of all the parallels. PROP VII. THEOREM. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** another angle in each, proportionals ; and if the remaining angle in each be of the same affection... | |
| Robert Potts - 1855
...triangle and the other two sides produced. 6. If two triangles have one angle of the one equal to otie **angle of the other, and the sides about the equal angles proportionals, the** triangle shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| Great Britain. Committee on Education - School buildings - 1855
...; the segments of the base shall have the same ratio which the other sides of the triangle have. 2. **If two triangles have one angle of the one equal to one** angh of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
| John Playfair - Geometry - 1855 - 318 pages
...and the angle at A to the ;mgle at D. Therefore the triangle ABC is equiangular to the triangle DEF. **PROP. VI. THEOR. If two triangles have one angle of the one** efnaH to one angle of the other, and the sides about the equal angles proportinnals, the triangles... | |
| Education - 1857
...lesson on the bent lever. BIGHEB MATHEMATICS AND MATHEMATICAL PHYSICS. SECOND YEAR. SECTION I. — 1. **If two triangles have one angle of the one equal to one angle of the other and the sides about** two other angles proportional ; then if each of the remaining angles be less or not less than a right... | |
| British and foreign school society - 1857
...administrative improvements are due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. **If two triangles have one angle of the one equal to one angle of the other** atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less... | |
| 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 :... | |
| 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... | |
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