 | 1871 - 420 sider
...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 :... | |
 | 1858 - 398 sider
...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...equal which are opposite to the homologous sides. 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 sider
...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...equal which are opposite to the homologous sides. 7. PROP. XVin. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
 | War office - 1858 - 578 sider
...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 - 672 sider
...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 - 1859 - 140 sider
...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 - 288 sider
...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' to...equal which are opposite to the homologous sides. Given the triangles ABC and BEE having the angle BAG in the one equal to the angle EDE in the other,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...rectangle contained by the sides about the other, the triangles are equal. (ii.) Conversely: — If two triangles have one angle of the one equal to one angle of the other, the rectangle contained by the sides about one of those angles is equal to the rectangle contained... | |
 | Euclid - 1890 - 442 sider
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles... | |
 | Royal Military College, Sandhurst - 1890 - 144 sider
...the line joining two alternate vertices of a given length. 7. Prove that 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. 8. In a right-angled triangle, show... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
