| 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
...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...and the sides about two other angles proportionals, each of the remaining angles being greater than a right angle, the triangles shall be equiangular.... | |
| 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
...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... | |
| Civil service - 366 pages
...proportion. PROP. I. — Triangles of the same altitude are one to the other, as their bases. 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... | |
| Euclides - 1860 - 288 pages
...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' 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 - 1861 - 260 pages
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to...and the sides about two other angles proportionals, and if each of the remaining angles be not less than a right angle, the triangles shall be equiangular,... | |
| 1889 - 584 pages
...respectively equal they are similar, and those sides which are opposite to the equal angles are homologous. 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... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...are the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 10. 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 ; and, conversely, triangles which... | |
| New Brunswick. Board of Education - Education - 1889 - 1004 pages
...and those which are opposite to the equal angles are homologous sides. 6. 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. N. В.- --Female candidates will... | |
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