| Mathematics - 1871 - 420 pages
...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 pages
...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...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 - Bills, Legislative - 1858 - 694 pages
...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...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 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 - 672 pages
...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 - 140 pages
...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 - 154 pages
...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...equal which are opposite to the homologous sides.** 7. PROP. XVIII. — Upon a given straight line to describe a rectilineal figure similar, and similarly... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 - Geometry - 1890 - 442 pages
....-. 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 - Mathematics - 1890 - 144 pages
...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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