 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two triangles have one angle of the one equal to one angle of the other, and the fides about two other angles proportionals, then, if each of the remaining angles be either... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the other, have their fides about the equal angles reciprocally proportional :. And parallelograms Which have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...the other, have their fides about the equal angles reciprocally proportional. and parallelograms that have one angle of the one equal to one angle of the other, and their fides about the .equal angles reciprocally proportional, are equal to one another. Let AB,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...THEOR. EQUAL triangles, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in one equal to one angle in the other, and their sides about the equal angles reciprocally proportional,... | |
 | John Mason Good - 1813 - 714 pages
...other, have their sides about the equal angles reciprocally proport ional : and parallelograms that have one angle of the one equal to one angle of the other, and their sides about tbe equal angles reciprocally proportional, are equal to one another. to the... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...: ai=the square of the product, wherefore ^/afc=the product. 234. Prop. 23. Hence, if two triangles have one angle of the one equal to one angle of the other, they will have to each other the ratio compounded of the ratios of the sides about their equal angles;... | |
 | Daniel Cresswell - Geometry - 1816 - 352 pages
...BA is equal to FE, and the angle ABC to EFG. PROP. XIX. (114.) Theorem. If two spherical triangles have one angle of the one equal to one angle of the other, and have also the two sides about another angle in each severally equal, and if the third angle, in... | |
 | Euclides - 1816 - 588 pages
...the other, have their sides about the equal angles reciprocally proportional: And parallelograms that 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 anothfen Let AB,... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...and also touch the chord on the same side as the less circle touches it. (XI 1 1.) If two triangles have one angle of the one, equal to one angle of the other, and also another angle of the one, together with another angle of the other, equal to two right angles,... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
