 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...line. 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. 171. In the same... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...taken PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, PLANE GEOMETRY then the included angle of the first is greater than the included angle of the second.... | |
 | Mathematicians - 1924 - 544 pages
...triangle, and when no angle is greater than 120° it is inside. If we consider a pair of triangles having two sides of one equal to two sides of the other, but the included angles bearing the relation, that in the first it is 120° — <p, and in the second 120°... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second In the same circle or in equal... | |
 | Walter Prenowitz, Meyer Jordan - Mathematics - 2012 - 380 pages
...equal, respectively, to two sides of a second triangle, and the third side of the first triangle is greater than the third side of the second, then the angle opposite the third side in the first triangle is greater than the angle opposite the third side in the second. An exterior... | |
 | The Editors of REA - Mathematics - 2013 - 112 pages
...sides of one triangle are equal to two sides of a second triangle and the third side of the first is greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. 7.3 Inequalities in Circles... | |
 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...third. 23. At a given point on a given straight line to construct an angle equal to a given angle. 24. If two triangles have two sides of one equal to two sides of the other, but the included angle of the first is greater than the included angle of the second, then the third side of... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...5 (cn) 382. Theorem. In triangles with two sides of one equal respectively to two sides of another, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is greater than the angle opposite the third side of... | |
 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...parallelogram and X is any point in the diagonal AC. Show that AABX and AADX are of equal area. 12. If two triangles have two sides of one equal to two sides of the other and the included angles are supplementary, prove that they are equal in area. 13. If in quadrilateral... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1876 - 570 pages
...FIRST PAPER. NB — The University Prizea in Geometry were awarded for answering in this Pap?:. 1 . If two triangles have two sides of one equal to two sides of the other each to each, but the included angles unequal, the base of that which has the greater angle will... | |
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... the third side of the first is greater than the third side of the second. 
