 | John Keill - 1782 - 476 páginas
...Line s AB, BC, ii found, which was to be done. PROPOSITION XIV. THEOREM. Equal Parallelograms, having, one 'Angle of the one equal to one Angle of the other, have the Sides *ibout the equal Angles reciprocal; and tbofe Parallelograms that have one Angle of the one equal to... | |
 | Euclid - 1789 - 296 páginas
...equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF... | |
 | Euclid, John Playfair - 1795 - 462 páginas
...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 - 1799 - 374 páginas
...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 - 1804 - 468 páginas
...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 - 1804 - 530 páginas
...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,... | |
 | Robert Simson - 1806 - 546 páginas
...the parallelogram BC. Therefore, equal parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. EQUAL triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and triangles which have one angle in... | |
 | John Mason Good - 1813 - 714 páginas
...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 - 1814 - 528 páginas
...: 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 - 1816 - 352 páginas
...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... | |
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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. 
