| Euclid - 1826 - 236 pages
...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... | |
| 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... | |
| Pierce Morton - Geometry - 1830 - 584 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... | |
| Euclides - 1834 - 518 pages
...n.hirh hare one angle of tie oaf, equal to one angle of the other, have their sides about the eyual **angles reciprocally proportional ; and parallelograms...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, BC be equal... | |
| 1834 - 574 pages
...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... | |
| Mathematics - 1835 - 684 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 (g) Two triangles are similar,... | |
| Euclid - 1835 - 540 pages
...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... | |
| John Playfair - Geometry - 1836 - 114 pages
...a mean proportional DB is found. Which was to be done. 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... | |
| Mathematics - 1836 - 472 pages
...about the equal angles reciprocally proportional, are equal to one another. XV. 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 which have one angle... | |
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