| Great Britain. Parliament. House of Commons - 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... | |
| John Playfair - 1860 - 317 sider
...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 - 1860 - 361 sider
...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 - 12 sider
...describe an isosceles triangle having each of the angles at the base one-third of the third angle. 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 ; then if each of the remaining angles be either less, or not less,... | |
| War office - 1861
...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,... | |
| Woolwich roy. military acad - 1861
...described on P 0 as diameter will pass through all the points of contact. 8. 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, and parallelograms that have one... | |
| Euclides - 1861
...precision the Eidograph is far superior to the Pentagraph. See BRADLEY'S Pract. Geom. p. 59. PROP. 6. — **THEOR. If two triangles have one angle of the one equal to** the one angle of the other, and the sides about the equal angles proportionals, the triangles shall... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...the common pump. IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) **If two triangles have one angle of the one equal to one angle of the other, and the sides about** a second angle in each equal ; then if the third -angle in each be both acute, both obtuse, or if one... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** these equal angles proportional, show that the triangles are similar, and that those angles which are... | |
| Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 sider
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. **If two triangles have one angle of the one equal to one angle of the other, and the** including sides proportional. the triangles are similar. Given A A1 B1d, A2B2C2, such that Z d = Z... | |
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