 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...CAD ; Ax. 10 therefore Z CAB > Z B. Why ? 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [HiN-T. Prove by reduction... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...greater angle is opposite the greater side. 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. 80. Corollary 2. If from... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...PROPOSITION XXXII. THEOREM be taken 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...AD>DB. 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...greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of Prop. XXXI.]... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...AD>DB. 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.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other., but the third side of the first triangle greater than the third side of the second, then the angle opposite the third side of the first... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 234 pages
...KS, (§ 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side of the first is less... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...Also AX + XH > AH (Ax. 12). Substituting, AX + XC, QT AC> AH (Ax. 6). PROPOSITION XXVIII. THEOREM 92. If two triangles have two sides of one equal to two...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. [Con. 5 Given : A... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...triangle are equal, respectively, to two sides of another, but the third side of the first triangle 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. FIG. 89. Given the A ABC... | |
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... the third side of the first is greater than the third side of the second. 
