| George Lees - 1826
...the other, have their sides about the equal angles reciprocally proportional ; and triangles which **have one angle of the one equal to- one angle of the other, and** their sides about the equal angles reciprocally proportional, are equivalent. Let the triangles be... | |
| Euclides - 1826
...to FE so is вс to FE, therefore the parallelogram AB is equal to PROPOSITION XV. THEOREM. If equal **triangles have one angle of the one equal to one angle of the other,** the sides about the equal angles are reciprocally proportional; and if triangles have one angle of... | |
| Euclid, John Playfair - 1826 - 320 sider
...a mean proportional DB is found. Whieh was to be done. PROP. XIV. THEOR. Equal parallelograms whieh **have one angle of the one equal to one angle of the** pther, have their sides about the equal angles reeiproeally proportional : And parallelograms whieh... | |
| Robert Simson - 1827 - 513 sider
...parallelogram BC. Therefore equal pa- * 9' 5rallelograms, &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 : and triangles whichhave one angle... | |
| Pierce Morton - 1830 - 272 sider
...angles reciprocally proportional, are equal to one another; and, conversely, equal triangles, which **have one angle of the one equal to one angle of the other,** have the sides about the equal angles reciprocally proportional . 66 (j) Two triangles are similar,... | |
| 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... | |
| John Playfair - 1833 - 333 sider
...triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VII. THEOR. **If two triangles have one angle of the one equal to one angle of** tJie other, and the sides about two other angles proportionals, then, if each of the remaining angles... | |
| 1834
...: A b, that is, 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 similar... | |
| 1835
...angles reciprocally proportional, are equal to one another; and, conversely, equal triangles, which **have one angle of the one equal to one angle of the other,** have the sides about the equal angles reciprocally proportional . .66 (g) Two triangles are similar,... | |
| Euclid - 1835 - 513 sider
...DB is found. Which was to be done. a 11. 1. b 31. 3. PROP. XIV. THEOR. 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 : And parallelograms that have one... | |
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