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" If two triangles have two sides of one equal respectively to two sides of the other... "
Plane Geometry - Page 47
by Fletcher Durell - 1904 - 372 pages
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Secondary-school Mathematics, Book 1

Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...and the greater angle lies opposite the greater side . 105 THEOREM XXII 132. If two triangles hare two sides of one equal respectively to two sides of the other, and the included angle of the first greater than the included angle of the other, the third side of...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...is greater than the angle opposite the less side. (6) When the angles are in different triangles : If two triangles 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...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...2\/3 inches made by a chord which is 3 inches from the centre of the circle. SEPTEMBER, 1904 1. (a) If two triangles have two sides of one equal, respectively, to two sides of the other and the included angles unequal, the triangle with the greater included angle has the greater third...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 370 pages
...pupils, and it has several applications in geometry. THEOREM. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of YY the second, then the third side of the first is greater...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 220 pages
...Any side of a triangle is less than the sum and greater than the difference of the other two. 173. If two triangles 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...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...side is greater than the angle opposite the less side. (6) When the angles are in different triangles: If two triangles 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...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...condition, .'. BOCA. QED TRIANGLES PROPOSITION XXIII. THEOREM 115. If two triangles have two sides of the one equal respectively to two sides of the 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...
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Solid Geometry

Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...(4) we have BC > DC. (§ 36, IV, 2) 6. In A BSC and DSC SC is common. SB = SD. (1) BC > DC. (5) ZDSC. (If two triangles 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...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal :r respectively to two sides of the 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...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...=40°. Fid. 3 Place the triangle ABC on Fig. 2 so that AC coincides with GK. Triangles ABC and- GHK have two sides of one equal respectively to two sides of the other. Are these two triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles...
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