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" Conversely, when two sides of a triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second... "
Solid Geometry - Page 253
by John H. Williams, Kenneth P. Williams - 1916 - 162 pages
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...other but the included angle of the first triangle 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 triangles DEF and ABC having DE=AB, EF = BC, To prove that DF>AC. Proof. Place AABC upon ADEF...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. ยง 259. Theorem. If two triangles have two sides of one equal to two sides of the other but the third...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...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 A ABC and A'B'C' with AB=A'B'; AC=AC"; To prove BC > B'C'. Proof STATEMENTS REASONS Apply A A'B'C'...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...two sides of the other, but the included angle of one greater than the included angle of the other, the third side of the first is greater than the third side of the second. FIG. 194 Hypothesis: In &ABCtuu3iA'BrC',AB-A'B',BC-B'Cf, and LB> ZB'. Conclusion: AOA'C'. Analysis...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...straight line. 33. If in two triangles two sides of one are equal respectively to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. 34. Two lines...
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Solid Geometry, with Problems and Applications

Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...straight line. 33. If in two triangles two sides of one are equal respectively to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. 34. Two lines...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...sides of the other and 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. Given the triangles ABC and FGH, in which AB equals FG, BC equals GH, and the angle ABC is greater...
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Bulletin

Education - 1921 - 1190 pages
...triangle, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than the third side of the second, and conversely. (r) If two chords are unequal, the greater is at the less distance from the center,...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...triangle, but the included angle of the first is greater than the included angle of the second, then the third side of the first is greater than the third side of the second, and conversely. (r) If two chords are unequal, the greater is at the less distance from the center,...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...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. Prop. 20. // two triangles have two sides of one equal respectively to two sides of the other, but...
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