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" If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Plane and Solid Geometry - Page 41
by Arthur Schultze - 1901
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 284 pages
...coincide throughout, and are equal. % PROP. XXVIII. THEOREM. 91. If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. i U. •' El ^-v Given, in...
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Annual Report of the Commissioners ..., Volume 64

1898 - 830 pages
...Euclid may be assumed. Mr. EARDLEY, Head Inspector. Mr. PEDLOW, District Inspector. 1. Prove that if two triangles have two sides of the one equal respectively to two sides of the other, but their buses unequal, their vertical angles are unequal (10 marks) ; and show that if the diagonals...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1898 - 250 pages
...THEOEEM. 78. If two triangles have two sides of one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the a Y> Fio. 46. third side of the first is greater than the third side of the Let the triangles ABC and...
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle ot the first greater than the included angle of the second, the third side of the first is greater...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...parts are equal.] ( 66) Again, if we suppose Z A < Z D, BC would be < EF. [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, the third side of the first is > the third side of the...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...the vertex, is parallel to the base. Proposition 49. Theorem. 60. If two triangles have two sides of one equal respectively to two sides of the other,...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. D Hypothesis. In the A ABC...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...included by a side and the base produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the one equal, respectively,...of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...angle included by a side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles hace two sides of the one equal, respectively, to two sides...of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...Zc = 60. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .-.AB = 2AC. " K Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...= 60. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .'.AB-2AC. ' •B Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal...
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