 | Euclid - 1781 - 552 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1806 - 546 σελίδες
...parallelogram e 9. S. AB is equal • to the parallelogram BC. Therefore, equal parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. EQUAL triangles which...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... | |
 | Euclid - 1810 - 554 σελίδες
...parallelogram e 9. 5. AB is equal' to the parallelogram BC. Therefore, equal parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle...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 σελίδες
...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 σελίδες
...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 σελίδες
...: 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;... | |
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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. 
