If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. A Shorter Geometry - Page xviLimited preview - About this book
| 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,... | |
| 1857
...a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 9. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal... | |
| 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 :... | |
| 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 one angle of the other, and the sides about** the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal... | |
| 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... | |
| Joseph Charles Parkinson - 1860
...PROP. I. — Triangles of the same altitude are one to the other as their bases. fi. PROP. VI. — **If two triangles have one angle of the one equal to one angle of the other, and the sides about** the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal... | |
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