| Euclides - 1859 - 136 pages
...àvriirtirèvQaaiv at ir\tvpai, ai irepi ràç; îffaç ywviaç, laa iariv iKtlva. Equal triangles which **have an angle of the one equal to an angle of the other** have their sides about the equal angle* reciprocally proportional ; and triangles which have an angle... | |
| Eucleides - 1860 - 396 pages
...proportional sides are equal. VI. 23, cor. 1. VI. 23, cor. 2. VI. 19. . . VI. 15. VI. 19, cor. HYPOTHESES. If **triangles have an angle of the one equal to an angle of the other.** If triangles are equiangular . If triangles are similar . . If equal triangles have an angle of the... | |
| George Roberts Perkins - Geometry - 1860 - 470 pages
...other, and the sides containing the equal angles proportional. Two rhombuses are similar, when they **have an angle of the one equal to an angle of the other.** All squares are similar figures. All regular polygons of the same number of sides are similar figures.... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...include, by implication, those of all figures. PROPOSITION XXIV. — THEOREM. 264. Two triangles, which **have an angle of the one equal to an angle of the other, and the sides** containing. these angles proportional, are similar. Let the two triangles ABC, DEF have the angle A... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 pages
...include, by implication, those of all figures. PROPOSITION XXIV . — THEOREM. 264. Two triangles, which **have an angle of the one equal to an angle of the other, and the sides** containing these angles proportional, are similar. Let the two triangles ABC, DEF have the angle A... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...include, by implication, those of all f1gures. PROPOSITION XXIV. — THEOREM. 264. Two triangles, which **have an angle of the one equal to an angle of the other, and the sides** containing these angles proportional, are similar. Let the two triangles ABC, DEF have the angle A... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...: hence, it is also similar to DFE. Therefore, two triangles, etc. THEOREM V. Two triangles having **an angle of the one equal to an angle of the other, and the sides** about those angles proportional, are similar. Let the two triangles ABC, DEF, have the angle A equal... | |
| Euclides - 1863 - 122 pages
...reciprocalla proportional (tbat is, DB is to BE a« GB /stoBF); and, converseln, parallelograms which **have an angle of the one equal to an angle of the other, and** their sides about the equalangles reciprocallg proportional, are equal to one another. Place the parallelograms... | |
| Euclides - 1865 - 402 pages
...the three sides of a triangle to the opposite angles meet in the same point. 14. If two trapezinms **have an angle of the one equal to an angle of the other, and** if, also, the sides of the two figures, about each of their angles, be proportionals, the remaining... | |
| Benjamin Greenleaf - Geometry - 1868 - 338 pages
...include, by implication, those of all figures. PROPOSITION XXIV. — THEOREM. 264. Two triangles, which **have an angle of the one equal to an angle of the other, and the sides** containing these angles proportional, are similar. Let the two triangles ABC, PEF have the angle A... | |
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