| John Playfair - Geometry - 1829 - 186 pages
...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 - Geometry - 1830 - 272 pages
...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 - Astronomy - 1831
...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 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 pages
...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... | |
| Mathematics - 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,... | |
| Mathematics - 1836 - 472 pages
...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 - Geometry - 1836 - 114 pages
...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 - Geometry - 1837 - 318 pages
...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... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. 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 remaining angles are equal, each to each, viz.,... | |
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