 | Examinations - 1893 - 408 pages
...two places of decimals.) 3 4 Prove that if two angles of a triangle are unequal, the sides opposite are unequal and the greater side is opposite the greater angle. 5 5 Prove that an angle formed by a tangent and a secant intersecting without a circle is measured by... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...799. /. AB = AG. Art. 781, PROPOSITION XXII. THEOREM 801. In any spherical triangle, if two angles are unequal , the sides opposite these angles are...and the greater side is opposite the greater angle, and CONVERSELY,, Given the spherical A ABC in which Z BAG is greater than ZC. To prove EG > BA. > Proofo... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...799. /. AB — AC. Art. 781. PROPOSITION XXII. THEOREM 801. In any spherical triangle, if two angles are unequal, the sides opposite these angles are unequal,...and the greater side is opposite the greater angle, and CONVERSELY, D Given the spherical A ABC in which /.BAG is greater than /.C. To prove BO > BA. Proof.... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...and ZCAD = ZDAB. (By construction) .'„ ABAD^ADAC. (§79) D .'.ZC = ZB. (Why?) 90. Corollary 1. If two angles of a triangle are unequal, the sides opposite these angles are unequal. Given : A ABC in which AB and C are unequal. A To Prove : Sides AC and AB opposite AB and C are unequal.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...CXA. Ax. 9 Since Z 31A C> Z CXA, and Z CXA > Z B, .-.ZBAOZ.B. Ax. 10 PROPOSITION XXII. THEOREM 114. If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. Given the triangle ABC, with the angle A greater than... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...subtends the greater angle.'' This is not so satisfactory, for there may be no greater side. THEOREM. If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. Euclid also stated this more briefly, but less satisfactorily,... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...6 ft. and 8 ft. respectively. What are the limits to the length of the third side? 113. THEOREM. // two angles of a triangle are unequal, the sides opposite these angles are unequal and the side opposite the greater angle is the greater. Given A ABC with L C> L B. To Prove AB > AC. SUG. 1.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...inequality Z.BAOZ.CXA. Ax. 9 Since Z BA C > Z CXA, and Z CXA > ZB, Ax. 10 PROPOSITION XXII. THEOREM 114. If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. Given the triangle ABC, with the angle A greater than... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...C>Z. CXA. Ax. 9 Since Z.BAOZ.CXA, and Z.CXA>ZB, .-.ZBAOZ.B. Ax. 10 PROPOSITION XXII. THEOREM 114. If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. AB Given the triangle ABC, with the angle A greater... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...than the third, then the first is greater than the third.) QE D, PROPOSITION XXII. THEOREM 114. If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. AB Given the triangle ABC, with the angle A greater... | |
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If two angles of a triangle are unequal, the sides opposite these angles are unequal, and the side opposite the greater angle is the greater. 
