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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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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 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 - 320 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 - 388 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 - 210 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
...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
...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 - 250 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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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 264 pages
...THEOREM. 91. 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, the third side of the first is greater than the third side of the second. :H *'<? Given, in A ABC and DEF, AB = DE, AC=DF, and...
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