| War office - 1861 - 714 pages
...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,... | |
| Woolwich roy. military acad - 1861 - 572 pages
...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 - 464 pages
...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... | |
| Robert Potts - 1863 - 482 pages
...and the other two sides produced. Also describe a circle touching three sides of a parallelogram. 6. **If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the,** triangle shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| Euclides - 1864 - 448 pages
...EC. (v. 9.) Therefore equal parallelograms, &c. QED PROPOSITION XV. THEOREM. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocallg proportional : and converselg, triangles which... | |
| Euclides - 1865 - 402 pages
...equiangular, and shall have those angles equal which are opposite to the homologous sides. Prop. 7. **If two triangles have one angle of the one equal to one angle of** tha other, and the sides about two other angles proportionals ; then, if each of the remaining angles... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 804 pages
...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 - 894 pages
...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 - Geometry - 1895 - 346 pages
...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 AA^d, A2B2C2, such that ZG! = Z C2 and... | |
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