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

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...line. 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of 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. 171. In the same...
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Schultze and Sevenoak's Plane and Solid Geometry; Revised by Arthur Schultze

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...taken 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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The American Mathematical Monthly: The Official Journal of the ..., Volume 31

Mathematicians - 1924 - 544 pages
...triangle, and when no angle is greater than 120 it is inside. If we consider a pair of triangles having two sides of one equal to two sides of the other, but the included angles bearing the relation, that in the first it is 120 — <p, and in the second 120...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first 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 In the same circle or in equal...
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Basic Concepts of Geometry

Walter Prenowitz, Meyer Jordan - Mathematics - 1986 - 380 pages
...equal, respectively, to two sides of a second triangle, and the third side of the first triangle is greater than the third side of the second, then the angle opposite the third side in the first triangle is greater than the angle opposite the third side in the second. An exterior...
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Geometry I Essentials

The Editors of REA - Mathematics - 2013 - 112 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first 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. 7.3 Inequalities in Circles...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - Mathematics - 1997 - 370 pages
...third. 23. At a given point on a given straight line to construct an angle equal to a given angle. 24. If two triangles have two sides of one equal to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of...
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Plane Geometry: A Modern Text

William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...5 (cn) 382. Theorem. In triangles with two sides of one equal respectively to two sides of another, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is greater than the angle opposite the third side of...
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Challenge and Thrill of Pre-College Mathematics

V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...parallelogram and X is any point in the diagonal AC. Show that AABX and AADX are of equal area. 12. If two triangles have two sides of one equal to two sides of the other and the included angles are supplementary, prove that they are equal in area. 13. If in quadrilateral...
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Parliamentary Papers, Volume 24

Great Britain. Parliament. House of Commons - Great Britain - 1876 - 568 pages
...FIRST PAPER. NB — The University Prizea in Geometry were awarded for answering in this Pap?:. 1 . If two triangles have two sides of one equal to two sides of the other each to each, but the included angles unequal, the base of that which has the greater angle will...
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