| Euclid, James Thomson - 1845 - 382 páginas
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. — 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 remaining angles are equal, each to each, viz.... | |
| Euclides - 1845 - 546 páginas
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. 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... | |
| Euclid - 1845 - 218 páginas
...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 - 292 páginas
...to one angle of the other, have their sides about the equal angles reciprocally proportional : and **parallelograms, 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,... | |
| Euclides - 1846 - 272 páginas
...; and 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.... | |
| Dennis M'Curdy - 1846 - 166 páginas
...parallelogram are equal : p. 34ofb. 1. 15 Th. Equal triangles which have an angle of one equal to an **angle of the other, have their sides about the equal angles reciprocally proportional : and** triangles are equal, which have an angle of one equal to an angle of the other, and the sides about... | |
| Euclid, John Playfair - 1846 - 334 páginas
...angle of the other, have their sides about the equal angles reciprocally proportional : arallelograms **which have one angle of the one equal to one angle of** And par the other, and their sides about the equal angles reciprocally proportional, are equal to one... | |
| Bengal council of educ - 1848 - 394 páginas
...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 - 52 páginas
...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 - 520 páginas
...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... | |
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