| 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 - 252 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... | |
| Euclides - 1859 - 132 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 - 468 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 - 514 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 - 520 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 - 506 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 - 118 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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