| 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... | |
| 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
...into one Theorem, Prop. 1, VI, and might also be united here. PROP. 15. — THEOn. Equal angles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proD. 1 H. &C. 2 7. V. 3 1,V. 4 11, V. 5 Cone.... | |
| 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 one angle of the other, and** the sides about the equal angles proportionals, the, triangle shall be equiangular, and shall have... | |
| 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... | |
| Dalhousie University - 1884 - 184 pages
...the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that **have one angle of the one -equal to one angle of the other,** have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why... | |
| Euclides - 1884 - 434 pages
...= ir BC: ir FE; • ||m AB : ||m FE = ir BC: r FE; PROPOSITION 15. THEOREMS. 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. Conversely : Triangles which have... | |
| Woolwich roy. military acad - 1884 - 148 pages
...in E, shew that AB touches the circumscribing circle of the triangle CDE. 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 triangles which have one angle... | |
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