 | 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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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
