| Euclid - Geometry - 1845 - 199 pages
...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
...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
...; 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 - Geometry - 1846 - 138 pages
...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 - Euclid's Elements - 1846 - 317 pages
...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
...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... | |
| 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... | |
| 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... | |
| 1851
...similar to the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 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 paralellograms have to one another the... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...first 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 which... | |
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