| John Playfair - Geometry - 1855 - 334 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 - 1266 pages
...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 - 548 pages
...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 - 412 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 :... | |
| 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 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... | |
| John Playfair - Geometry - 1860 - 334 pages
...and the angle at A to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. **PROP. VI. THEOR. If two triangles have one angle of...the triangles shall be equiangular, and shall have** t'tose angles equal which are opposite to the homologous sides. Let the triangles ABC, DEF have the... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. **If two triangles have one angle of the one equal to one angle of the other,** find the sides about the equal angles proportionals, the triangles shaU be equiangular, and shall have... | |
| 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 one angle of the other and the sides about** two other angles proportionals, and if each of the remaining angles be not less than a right angle,... | |
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