| War office - 1861 - 714 Seiten
...perpendicular to the line touching the circle. Voluntary Portion. 1. To inscribe a square in a given circle. 2. **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 triangles shall be equiangular to one another, and... | |
| Euclides - 1861 - 464 Seiten
...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.... | |
| Woolwich roy. military acad - 1861 - 572 Seiten
...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... | |
| Robert Potts - 1863 - 482 Seiten
...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 those... | |
| Euclides - 1864 - 448 Seiten
...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... | |
| Simon Somerville Laurie - 1865 - 432 Seiten
...to two right angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. **If two triangles have one angle of the one equal to one angle of the other, and the** sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar polygons... | |
| Euclides - 1865 - 402 Seiten
...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... | |
| George Bruce Halsted - 1886 - 394 Seiten
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having **one angle of the one equal to one angle of the other, and the** sides about these angles proportional, are similar. HYPOTHESIS. £ B = $. G, and AB : BC : : FG : GH.... | |
| Canada. Department of the Interior - 1888 - 756 Seiten
...figures. 13. Triangles and parallelograms having equal bases are to one another as their altitudes. 14. **If two triangles have one angle of the one equal to one angle of** tho other, the triangles are to each other in the ratio of the rectangles under the sides containing... | |
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