| 1829
...A c : Ab : : A" E": A" F". Now it is demonstrated in. treatises on geometry,* that if two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles are equiangular, and consequently... | |
| Pierce Morton - 1830 - 272 páginas
...of the ratios of the sides about the equal angles, or as the rectangles under those sides . G6 (/) **Triangles which have one angle of the one equal to one angle of the other,** and the sides about the equal angles reciprocally proportional, are equal to one another; and, conversely,... | |
| John Martin Frederick Wright - 1831
...Ratios that are the same to the same ratio, are the same to one another. 13. Equal parallelograms, **which have one angle of the one equal to one angle of the other, have** their sides about the equal angles reciprocally proportional. M. In a plane triangle, of which the... | |
| John Playfair - 1832 - 333 páginas
...is equal (9. 5.) to the parallelogram BC. Therefore equal parallelograms, &c. QED 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: Jind triangles which have one angle in... | |
| 1834
...A c : A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that if two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles are equiangular, and consequently... | |
| 1835
...the altitude of the first, the two triangles will be equal to one another (11. Cor. 2.). PROP. 40. **Triangles which have one angle of the one equal to one angle of the other,** are to one another in the ratio which is compounded of the ratios of the sides about the equal angles.... | |
| Euclid - 1835 - 513 páginas
...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 another. Let AB,... | |
| Eugenius Nulty - 1836 - 220 páginas
...Multiply these equal ratios, and there will result ABС:DEF::AС.BG: DF.EH(th.T). THEOREM XXIV. 69. Two **triangles which have one angle of the one equal to one angle of the other,** are proportional to the products of the sides which contain those angles. E в Let AB С, DEF be two... | |
| 1836 - 472 páginas
...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. XV. Equal... | |
| John Playfair - 1836 - 114 páginas
...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 another. Let AB,... | |
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