 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, the third sides will be unequal; and the greater third side will belong to the triangle which has the greater included angle. HYPOTH. AB = AB, AC =... | |
 | Eli Todd Tappan - Geometry - 1868 - 454 pages
...parts alone arc never enough to determine a triangle. 98 UNEQUAL TRIANGLES. 293. Theorem. — When two triangles have two sides of the one respectively equal...other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Let BCD and AEI be... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...the equal angles lie opposite the equal sides. ELEMENTS OF PLANE GEOMETRY. THEOREM XXVII. 89. If two triangles have two sides of the one respectively equal...other, and the included angles unequal, the third sides are unequal, and the greater third side is in the triangle having the greater included angle. In the... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...the equal angles lie opposite the equal sides. ELEMENTS OF PLANE GEOMETRY. THEOREM XXVII. 89. If two triangles have two sides of the one respectively equal...to two sides of the other, and the included angles imequal, the third sides are unequal, and the greater third side is in the triangle having the greater... | |
 | Simon Newcomb - Trigonometry - 1882 - 372 pages
...Altitude A = b sin y. Therefore, a being the base, "/ ' Area = \ah = \ab sin y. QED Cor. 1. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles which these sides form supplementary, the triangles will be equal in area. For the sines of... | |
 | 1882 - 376 pages
...Ans.—£2112. GEOMETRY. Examiners—Prof. AG GREENHILL, MA, and BENJAMIN WILLIAMSON, Esq., MA, FRS 1. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angle of the one greater than the contained angle of the other, prove that the base... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...triangles, the equal angles lie opposite the equal sides. PROPOSITION VIII. 307. Theorem.— If two triangles have two sides of the one respectively equal...other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.... | |
 | Euclides - 1884 - 434 pages
...construction as in the text, but let A DEO fall on the other side of DE. PROPOSITION 25. THEOREM. If two triangles have two sides of the one respectively equal to two sides of the other, but their bases unequal, the angle contained by the two sides of the triangle which has the greater... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...opposite equal sides are equal.) But £ BDA -f 2£ ^C = st. £, = st. :£. 178. COROLLARY I. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if one of the angles opposite the other pair... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...angles opposite equal sides are equal.) But £ BDA + 4 BDC = st. £, = st. . 178. COROLLARY I. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if one of the angles opposite the other pair... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 
