 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...parts are equal.] (§ 48) 4. Again, if we suppose ZC < ZF, c would be < / [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included ^ of the second, the third side of the first is > the third side of the... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...parts are equal.] (§ 48) 4. Again, if we suppose ZC < ZF, c would be < / [If two & have two sides of one equal respectively to two sides of the other, but the included Z of the first > the included Z of the second, the third side of the first is > the third side of the... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...BAC is bisected by the line AX. QEF PROPOSITION XXIV. THEOREM. 131. If two triangles have two sides of the one equal, respectively, to two sides of the...angle of the second, then the third side of the first is greater than the third side of the second. c Given As ABC and DBF, in which AB = D£, AC = DF, and... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...impossible : C B' B RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively 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 the first is greater than... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...are impossible: BB RECTILINEAR FIGURES. 117. THEOREM. // in two triangles two sides of the one are equal respectively 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 the first is greater than... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...XXII 132. If two triangles have two sides of one equal respectively to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. Draw &ABC and ELM, having... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...AP+PB>AY. Ax. 9 .'. AB>AY. , 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... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...taught to pupils, and it has several applications in geometry. THEOREM. 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 YY the second, then the third side of the first is greater... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
...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 than the third side of the second, and conversely. AB, or above AB. As an exercise for pupils... | |
 | Geometry, Plane - 1911 - 192 pages
...Show how to construct a triangle equivalent to a given polygon. 7. 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, the included angle of the first... | |
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... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
