 | Aaron Schuyler - Geometry - 1876 - 384 pages
...and the center of the sphere. 8. If two spherical triangle~s on the same sphere or on equal spheres 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... | |
 | Richard Wormell - 1876 - 268 pages
...set. It may, for instance, be used to prove the converse of (6), namely : — " When two triangles have two sides of the one respectively equal to two sides of the other, but the base of one greater than the base of the other, the vertical angle which is opposite the greater... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...bringing together the two greatest sides. PROPOSITION X. Fio. 210. 295. Theorem.—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... | |
 | Robert Fowler Leighton - 1877 - 372 pages
...DEFINE a plane, a parallelogram, a trapezoid, a tangent to a circle. 2. Prove that when two triangles have two sides of the one respectively equal to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the... | |
 | James McDowell - 1878 - 310 pages
...25. Given the three bisectors of the sides of a triangle ; construct it. DBF 20 26. If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, they are equal in area 20 27. If squares be described on the sides... | |
 | Simon Newcomb - Logarithms - 1882 - 188 pages
...b sin y. Therefore, a being the base, f ^ a 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... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...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 unequal, the third sides are unequal, and the greater third side is in the triangle... | |
 | 1882 - 376 pages
...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 - 344 pages
...triangles, the equal angles lie opposite the equal sides. PROPOSITION VIII. 307. Theorem.—Ift wo 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... | |
 | Euclides - 1884 - 434 pages
...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... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. 
