 | 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 - 472 pages
...ratios (T. VI.) : BC : B'C' : : AC : A'C' : : AB : A'B'. GEOMETRY. THEOREM T1ll. 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. In the two triangles ABC, A'B'C',... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 - 340 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... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...equal the sum of the diagonals of the given quadrilateral. G. 4. Two triangles are similar, if they have an angle of the one equal to an angle of the other and the sides including those angles proportional. 5. In any triangle, if a straight line is drawn... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
