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" If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first 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: To which is Added Plane and Spherical Trigonometry ... - Page 28
by George Roberts Perkins - 1856 - 235 pages
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...1891. 1. Prove that if two triangles have two sides of the one equal to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. Also prove the...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...placed among the axioms to be memorized, but it is equally an axiom nevertheless. ] Theorem 10. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...III on I, Reflex ZAB3C>ZCB3A>ZCB1A. 7. But ZB1B3C =ZCB1B3. 8. .'.ZABuB1 >ZB3BlA. Theorem 11. If two triangles have two sides of the one respectively equal to two sides of the other, bat the third sides unequal, then the included angles are unequal, the greater angle being opposite...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...BC to be the greatest side, and drawing AD perpendicular to BC. PROPOSITION XX. THEOREM. 90.. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, the greater angle is subtended by a greater base. Given : Two triangles...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...BC<B'C'. §92 [If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.] . CONSTRUCTION. To...
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...THEOREM 92, If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. GIVEN— two triangles...
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New York Education: Devoted to New York State ..., Volume 2, Issues 2-3

Education - 1898 - 558 pages
...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 joining the vertex of the right...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...THEOREM. 78. If two trianyles have two sides of one equal respectively to two sides of the oiJier, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Let the triangles ABC...
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