 | Aaron Schuyler - Geometry - 1876 - 384 pages
...B = E (53, 5), and the triangles are equal, as just shown. 73. Proposition XXIX.— Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the one greater than the included angle of the other, the third side of the one having... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — 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. A distinction ought to be made between... | |
 | Richard Wormell - 1876 - 268 pages
...a similar 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
...secured by 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 triangle... | |
 | Robert Fowler Leighton - 1877 - 372 pages
...GEOMETRY. 1. 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 first... | |
 | James McDowell - 1878 - 310 pages
...angle. CoR 19 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 of... | |
 | 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 unequal, the third sides are unequal, and the greater third side is in the triangle... | |
 | 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 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... | |
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... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. 
