| 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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