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" ... the third side of the first is greater than the third side of the second. "
Elements of Geometry: Plane geometry - Page 47
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...CAD ; Ax. 10 therefore Z CAB > Z B. Why ? 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [HiN-T. Prove by reduction...
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Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...greater angle is opposite the greater side. 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. 80. Corollary 2. If from...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...PROPOSITION XXXII. THEOREM be taken 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, PLANE GEOMETRY then the included angle of the first is greater than the included angle of the second....
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other., but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first...
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Solid Geometry

Sophia Foster Richardson - Geometry, Solid - 1914 - 234 pages
...KS, ( 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side of the first is less...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...Also AX + XH > AH (Ax. 12). Substituting, AX + XC, QT AC> AH (Ax. 6). PROPOSITION XXVIII. THEOREM 92. If two triangles have two sides of one equal to two...the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. [Con. 5 Given : A...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...triangle are equal, respectively, to two sides of another, but the third side of the first triangle is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. FIG. 89. Given the A ABC...
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