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" ... 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. "
Syllabus of Geometry - Page 8
by George Albert Wentworth - 1896 - 50 pages
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. Given the triangles DEF and ABC having...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...reductio ad atsurdum that this is a consequence of Ex. 13, § 209, and Ex. 2, § 211. 214. THEOREM. If two sides of a triangle are equal, respectively, to two sides of another, but the included angle of the first triangle is greater than the included angle of the second, then the third...
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...and another side of one are equal respectively to the hypotenuse and another side of the other. 155. If two sides of a triangle are equal respectively...sides of another, but the third side of the first is greater than the third side of the second, the included angle of the first is greater than the included...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...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, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. B v EF Given the triangles ABC and...
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Solid Geometry

William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...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, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. 233. Of two straight lines drawn from...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. having DE = AB, Given the triangles...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...sides of one equal to two sides of the other but the third side of the first greater than the thin! side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. CHAPTER II. THE CIRCLE § 272. Experiment....
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. A' FIG. 339 Given the triangles ABC...
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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
....'.AP+PB>AY, Ax. 5 §§ 126, 127 Proposition 35. Unequal Sides of Triangles 127. Theorem. If two sides of one triangle are equal respectively to two sides of another,...then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. •BX Given the A ABC and XYZ with...
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Essentials of Solid Geometry

David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...then the third side of the first is greater than the third side of the second. 4. If two sides of one triangle are equal respectively to two sides of another,...then the angle opposite the third side of the first is greater than the angle opposite the third side of the second. 16. General Properties of Circles....
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