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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 45
by Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 pages
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Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...or, a method similar to that in 122 may be employed. 123 (a). If two triangles have the two sides of one equal respectively to two sides of the other, but the included angles unequal, then the third side of that triangle having the greater included angle is longer than...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 466 pages
...are equal if their legs are equal, each to each. PROPOSITION XXVII. THEOREM. 152. If two irriangles have two sides of the one equal respectively to two...angle of the second, then the third side of the first will lie greater than the third side of the second. c In the triangles ABC and ABE, let AB = AB, BC=BE;...
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 208 pages
...common side the angle in one triangle equals the exterior angle in the other. 302. Corollary. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if the angles opposite the other pair...
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A Text-book of Geometry

George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...the same points). .'.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. If two triangles have two sides of the one equal respectively to two sides of the other, bufthe included angle of the first greater than the included angle of the second, then the third side...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1892 - 468 pages
...the same points). .-.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. // two triangles have two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than thc included angle of the second, then the...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...upon it. PRINCETON COLLEGE, June, 1891. 1. Prove that if two triangles have two sides of the one equal to two sides of the other, but the included angle...angle of the second, then the third side of the first will be greater than the third side of the second. Also prove the converse. 2. Prove that a straight...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...coincide throughout, and are equal, PROPOSITION XXVIII. THEOREM. 89. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of tJie first greater than the included angle of the second, the third side of the first is greater than...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...the other. 151. Cor. Two right triangles are equal if their legs are equal, each to each. 152. 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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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...greater side of every spherical triangle has the greater angle opposite to it. 37. If two spherical triangles have two sides of the one equal respectively to two sides of the other and the angles opposite one of these pairs of equal sides equal, the angles opposite the other pair...
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New York Education: Devoted to New York State ..., Volume 2, Issues 2-3

Education - 1898 - 558 pages
...(a) isosceles, (&) equilateral, (c) similar, (d) equivalent. 2. Demonstrate: If two triangles have two sides of the other but the included angle of the...first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Demonstrate: The line...
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