 | Robert Simson - 1827 - Liczba stron: 546
...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 - 1829 - Liczba stron: 210
...angles reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one equal to one angle of the other, and their sides...reciprocally proportional, are equal to one another. In a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, it... | |
 | Pierce Morton - 1830 - Liczba stron: 584
...EB and of В С to В F ; 39. being cited instead of 35. Therefore, &c. Cor. Triangles, which have one angle of the one equal to one angle of the other, are to one another as the rectangles under the sides about the equal angles (37.). PROP. 41. (Eue.... | |
 | John Martin Frederick Wright - 1831 - Liczba stron: 282
...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 - Liczba stron: 578
...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 - Liczba stron: 540
...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... | |
 | 1835 - Liczba stron: 684
...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,... | |
 | 1836 - Liczba stron: 488
...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... | |
 | John Playfair - 1836 - Liczba stron: 148
...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... | |
 | John Playfair - 1837 - Liczba stron: 332
...proportional : And pa allelograms which have one angle of the one equal to one angle of the ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another. Let AB, BC be equal parallel- ^ xt ograms, which have the angles at B rr \ equal, and let the sides... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
