| 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... | |
| John Playfair - 1833 - 333 sider
...the triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VII. **THEOR. If two triangles have one angle of the one equal to one angle of** tJie other, and the sides about two other angles proportionals, then, if each of the remaining angles... | |
| Euclides - 1834
...is equiangular to the triangle DEF. Wherefore, if the sides, &c. <?. /.•./,. ' n. . 'PROPOSITION **VI. THEOR. — If two triangles have one angle of...the sides about the equal angles proportionals, the** triangles shall be equiangular, and shall have those angles equal which are opposite to the funuologous... | |
| 1834
...: A b, that is, 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...the sides about the equal angles proportionals, the** triangles are equiangular, and consequently similar ; we have seen that the two triangles A bc, A"... | |
| Robert Simson - 1835 - 513 sider
...equiangular to the triangle DEF. Wherefore, " if the sides," &c. QED Book VI. PROP. VI. THEOR. v— v—' **If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the** triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
| 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,... | |
| 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... | |
| John Playfair - 1836 - 114 sider
...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... | |
| 1836 - 472 sider
...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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