 | 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...the sides containing these angles proportional, so that AB:DE::AC:DF; then the triangles are similar. Take AG equal DE, and draw GH parallel to BC. The... | |
 | 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...the two triangles ABC, DEF have the angle A equal to KD \ E the angle D, and the sides containing these angles proportional, so that AB:DE::AC:DF; then... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...other, and the sides containing these nnglcs proportional, are similar. Let the two triangles ABC, I) EF have the angle A equal to the angle D, and the sides containing these angles proportional, so that AB : DE : : AC : DF; then the triangles are similar. Take AG equal DE, and draw G II parallel... | |
 | 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...the sides containing these angles proportional, so that AB:DE::AC:DF; then the triangles are similar. Take AG equal DE, and draw GH parallel to BC. The... | |
 | 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
...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... | |
 | 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 - 1866 - 328 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...proportional, are similar. Let the two triangles ABC, DBF have the angle A equal to the angle D, and the sides containing these angles proportional, so that... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...included side in the other, the triangles are identical, or have their other sides and angles equal. Let the two triangles ABC, DEF, have the angle A equal to the angle D, the angle B equal to the angle E, and the side AB equal to the side DE ; then these two triangles will... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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...proportional, are similar. Let the two triangles ABC, PEF have the angle A equal to the angle D, and the sides containing these angles proportional, so that... | |
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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. 
