| John Playfair - 1819 - 317 sider
...equiangular to the triangle DEF. Wherefore, if the sides, &c. Q, ED PROP. VI. THEOR. If two triangles **have one angle of the one equal to one angle of the** oiker, and the sides about the equal angles proportionals, the triangles shall be equiangular, and... | |
| Peter Nicholson - 1825 - 372 sider
...parallelogram BC. Therefore equal ograms, Лес. Q. E, D. PROP. XV. THEOR. Equal triangles nhich have **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : And triangles nhich have one angle... | |
| 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... | |
| Euclid - 1826 - 180 sider
...parallelogram ac.d Therefore if equal parallelograms, &C. QED 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... | |
| Euclides - 1826
...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... | |
| 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... | |
| 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 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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