 | Euclid - 1781 - 552 sider
...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 anther. Let AB,... | |
 | Euclid - 1789 - 296 sider
...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... | |
 | Alexander Ingram - 1799 - 374 sider
...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 - 1804 - 530 sider
...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 sider
...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 the... | |
 | John Mason Good - 1813 - 714 sider
...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... | |
 | Euclides - 1814 - 560 sider
...to BE, so GB to BF ; the parallelogram AB is equal to the parallelogram BC. PROP. XV. THEOR. EQUAI . 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 the one... | |
 | Charles Butler - 1814 - 528 sider
...: 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 sider
...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 sider
...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,... | |
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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. 
