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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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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...XXVII. 92. If two triangles have two sides of one equal rospectively 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. In the triangles ABC and DEF, let the side AB be equal...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...half the perimeter. A case of unequal triangles. 91. THEOREM 18. If two triangles have two sides of one respectively equal to two sides of the other, and the included angle in the first greater than the ineluded angle in the second, then the third side of the, first is greater...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...THEOREM 107. 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. Given the A ABC and...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...THEOREM 107, 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. Given the A ABC and...
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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pages
...the triangle which has the greater included angle has the greater third side. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle....
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Catalogue ...

Yale University. Sheffield Scientific School - 1905 - 1074 pages
...JUNE, 1908 1. 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. State and prove also...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...chosen. 658. When 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. Conversely, when two...
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 206 pages
...THEOREM 100. 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, the third- side of the first is greater than the third side of the second. •B —^^^m e G Draw A ABC. Construct ZF<^ACB. Draw...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...THEOREM 100. 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, the third side of the first is greater than the third side of the second. r Draw A AB C. Construct ZF < ZA CB. Draw lines FD (e)...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...BC? within the A ABC? Draw figures for these two cases and apply the proof. THEOREM XI 132. If two triangles have two sides of the one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle....
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