 | James Hayward - Geometry - 1829 - 218 pages
...the two triangles would therefore be equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides of the other,... | |
 | John Martin Frederick Wright - Euclid's Elements - 1829 - 206 pages
...considered by Euclid. Of these seven combinations, six of them belong to the case of two triangles, having two sides of the one equal to two. sides of the other, each to each, and one angle to one angle, viz. those to which equal sides are opposite. This case will be fully discussed... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...EDF, and the sides AB, AC to the sides DE.DF respectively. Therefore, &c. PROP. 15. If two spherical triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle contained by the two sides of the one shall be equal to... | |
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them also equal to one another, what relation will these two triangles... | |
 | Richard Wilson - Logarithms - 1831 - 372 pages
...spherical polygon is less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another, the two triangles shall be... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them are also equal to one another, the two triangles are equal in all... | |
 | Euclid - 1835 - 540 pages
...of the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, " if two triangles have two sides of the...equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise... | |
 | Mathematics - 1835 - 684 pages
...which bisects the base at right angles passes through the vertex of each. PROP. 7. (Eue. i. 8.) If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle contained by the two sides of the one shall be equal to... | |
 | John Playfair - Geometry - 1836 - 148 pages
...of the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the...equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another ; their bases shall likewise... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...found that BO + OC< BD + DC ; therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the triangle... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other; they shall likewise have their bases, or third sides, equal; and the two triangles shall... 
