| Euclid - 1845 - 199 pagina’s
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOB. — If two triangles **have one angle of the one equal to one angle of the** oiher, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
| Euclides - 1846
...therefore ex oequali, BD will be to CG, as I to L (by Prop. 33, B. 5). COR. 2. — Triangles which **have one angle of the one equal to one angle of the other,** are to each other in a ratio compounded of the ratios of the sides about the equal angles. COR. 3.... | |
| Euclides - 1846
...the other, have their sides about the equal angles reciprocally proportional : and triangles, which **have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. First,... | |
| Bengal council of educ - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " 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... | |
| Euclides - 1848
...those angles equal which are opposite to the homologous sides. PROP. VII. THEOREM. 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... | |
| Bengal (India) - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " 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... | |
| 1852
...2. About a given circle, to describe i triangle equiangular to a given triangle. 3. 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, and shall have... | |
| Harvey Goodwin - 1851 - 173 pagina’s
...shall have to the second a greater ratio than the fifth has to the sixth. 8. Equal triangles which **have one angle of the one equal to one angle of the other** have the sides about the equal angles reciprocally proportional ; and conversely. 9. If two planes... | |
| Rev. William R. Williams - 1852
...A c : A b : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that 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 are equiangular, and consequently... | |
| George Moody - 1852
...triangles on each side of it are similar to the whole triangle and to one another. 2. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about their equal angles reciprocally proportional. 3. Equiangular paralellograras... | |
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