| Euclid, Robert Simson - Geometry - 1821 - 516 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &e. QED D PROP. VI. THEOR. IP **two triangles have one angle of the one equal to one...of the other, and the sides about the equal angles** Eroportionals, the triangles shall be equiangular, and shall ave those angles equal which are opposite... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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... | |
| Euclid - 1826 - 180 pages
...the 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
...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... | |
| 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, John Playfair - Euclid's Elements - 1826 - 320 pages
...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 - Trigonometry - 1827 - 513 pages
...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... | |
| John Playfair - Geometry - 1829 - 186 pages
...Wherefore, if the sides &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of one triangle **equal to one angle of the other, and the sides about the equal angles** proportional, the triangles will he equiangular, and will have those angles equal which are opposite... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...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 - Astronomy - 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... | |
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