 If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the...  Elements of Arithmetic, Algebra, and Geometry - Page 129by George Lees - 1826Full view - About this book
 | Euclides - 1833 - 304 pages
...cannot be bisected in any point but G. PROP. 15. THEOR. Of all the triangles, that can be formed having two sides of the one respectively equal to two sides of the other, the greatest is that, which has those two sides at right angles to one another. Fig. 14. ANALYSIS.... | |
 | Euclides - 1834 - 518 pages
...If ' two triangles have two sides of the one, equal to Sec N. two sides of the other, each to each, but the base of the one, greater than the base of the other, Ike angle contained by the sides of that which has the greater base, shall be greater than the angle... | |
 | Euclid - 1835 - 540 pages
...XXV. THEOR. If two triangles have tiro sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the angle contained... | |
 | Mathematics - 1836 - 488 pages
...other. XXV. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides of... | |
 | Education - 1836 - 502 pages
...given by Euclid, as also to prove simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included Angles unequal, the remaining sides will be unequal, &c." On the question whether the fifth... | |
 | Schoolmaster - 1836 - 926 pages
...given by Euclid, as also to prove simple derivative propositions of such a form as this — " If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the remaining sides will be unequal, &c." On the question whether the fifth... | |
 | Eugenius Nulty - Geometry - 1836 - 242 pages
...each of two triangles, the only cases of the kind entitled to particular notice. THEOREM X. 43. J/ two triangles have two sides of the one respectively equal to two sides of the other, but the angles contained by those sides unequal; the third side of that triangle which has the greater angle,... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle contained by the sides of that which has the greater base shall be greater than the angle contained by the sides equal... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...words. P.—If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other, the angle contained by the sides of that triangle which has the greater base is greater than the angle contained by the sides,... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...from the vertex of a triangle to the point of bisection of the base, bisects the triangle : and if two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles (I. def. 38.) supplemental, the triangles are equal. PROB. XXXIX. THEOR.*... | |
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