| George Roberts Perkins - Geometry - 1860 - 443 pages
...series of equal 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 - 514 pages
...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... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...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... | |
| Benjamin Greenleaf - Geometry - 1863 - 320 pages
...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... | |
| Euclides - 1863
...angles reciprocalla proportional (tbat is, DB is to BE aŤ 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... | |
| 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 - 1868 - 338 pages
...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, PEF have... | |
| Trinity College (Hartford, Conn.) - 1870
...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... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...an angle of the other are to each other as the products of the sides including the equal angles. Two **triangles which have an angle of the one equal to an angle of the other** may be placed with their equal angles in coincidence. Let ABC, ADE, be the two triangles having the... | |
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