 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.  The Elements of Geometry - Page 38by Webster Wells - 1894 - 378 pagesFull view - About this book
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. If two triangles have two sides of one equal respectively...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. F Given the triangles... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...perimeter of the octagon is greater than the perimeter of the square. PROPOSITION XXXI. THEOREM 231. If two triangles have two sides of one equal respectively...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 triangles... | |
 | 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... | |
 | 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...practical problems, p. 289, No. 21.] PROPOSITION XXXI. THEOREM 132. If two triangles have two sides of the one equal respectively to two sides of the other,...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'... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...practical problems, p. 289, No. 21.] PROPOSITION XXXI. THEOREM 132. If two triangles have two sides of the one equal respectively to two sides of the other,...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'... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...side is opposite the greater angle. 76. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the included angle...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. 77. Corollary 2. If... | |
 | 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... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...angle. 76. Corollary 1. Iftwo triangles have two sides of the one equal to two sides of the other, l)nt 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. 77. Corollary 2. If... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...(4) we have BC > DC. (ยง 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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