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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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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...THEOREM 132. 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. Given A ABC and A'B'C'...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...greater perimeter ? Prove it. Theorem 42 150. If tivo triangles have two sides of one equal respectively to two sides of the other and the included angle of...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,...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...Prop. 19. // 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. Prop. 20. // two triangles have two sides of one equal...
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Drill Book in Plane Geometry

Robert Remington Goff - 1922 - 136 pages
...*I4I. // 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, the third side of the fitst is greater than the third side of the second. *I42. // two triangles have two sides of the one...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...330. Theorem. 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. FIG. 338 Given the triangles...
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Supervised Study in Mathematics and Science

Stephen Clayton Sumner - Mathematics - 1922 - 266 pages
...Not until it is clearly understood that two triangles are given, each of which has two sides of one equal to two sides of the other, and the included angle of the one equal to the corresponding included angle of the other, and that we desire to prove that under...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...THEOREM 132. 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. Given A ABC and A'B'C'...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...c, 76. Corollary 1. // two triangles have two sides of the on.e equal 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. [HINT. In the A ABC...
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Plane and Solid Geometry

Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...c' 76. Corollary 1. // two triangles have two sides of the one equal 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. [HINT. In the AABC and...
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Plane Geometry: A Modern Text

William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...n) 381. Theorem, In triangles with two sides of one equal respectively to two sides of another, 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. Given: AC = A'C', AB = A' B', ¿A> Z A' in the A. To...
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