 | Edward Olney - 1879 - 278 pages
...above can always be secured by bringing together the two greatest sides. Fio. 210. PROPOSITION X. 293. Theorem. — If two triangles have two sides of the...to the triangle having the greater included angle. ELEMENTARY PLANE GEOMETRY. DEM.— Let ACB and DEF be two triangles having AC = DF, CB = FE, and C... | |
 | Edward Olney - Geometry - 1879 - 502 pages
...can always be •secured by bringing together the two greatest sides. Fio. 210. PROPOSITION X. 295. Theorem. — If two triangles have two sides of the...third sides are unequal, and the greater third side lelongs to the triangle having the greater included angle. 128 ELEMENTABY PLANE GEOMETRY. DEM.— Let... | |
 | 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...third sides are unequal, and the greater third side is in the triangle having the greater included angle. In the As ABC and DEF, let AC = DF, CB = FE,... | |
 | 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... | |
 | Euclides - 1884 - 434 pages
...sides. 13. The base, an angle at the base, and the difference of the other two sides. PROPOSITION 24. THEOREM. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the base of the triangle which has the greater contained angle shall... | |
 | 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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...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 are unequal ; and the greater side belongs to the triangle which has the greater included angle. In the triangles BAC and DEF, let... | |
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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 third sides are unequal, and the greater third side belongs to the triangle having the greater included angle. 
