| Elias Loomis - Conic sections - 1857 - 242 pages
...triangles, &c. PROPOSITION XX. THEOREM. Two triangles are similar, when they have an angle of the une equal to an angle of the other, and the sides containing those angles proportional. Let the triangles ABC, DEF have the angle A of the one, equal to the angle D of the other, and let... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...the triangles PROPOSITION XX. THEOREM. Two triangles are similar, when they have an angle of the une equal to an angle of the other, and the sides containing those angles proportional. Let the triangles ABC, DEF have the angle A of the one, equal to the angle D of the other, and let... | |
| Euclid - 1859 - 136 pages
...rpiywvwv, 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
...If equal parallelograms have an angle of the one equal to an angle of the other. If parallelograms have an angle of the one equal to an angle of the other, and their sides about the equal angles reciprocally proportional. If parallelograms are about the diameter... | |
| George Roberts Perkins - Geometry - 1860 - 474 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 - 532 pages
...properties of triangles 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 equal to KD... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...properties of triangles 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 equal to the... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...properties of triangles 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 equal to the... | |
| Euclides - 1863 - 122 pages
...angles 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... | |
| 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... | |
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