 If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.  The Elements of Plane Geometry - Σελίδα 45των Charles Austin Hobbs - 1899 - 240 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | George Peacock - 1830 - 732 σελίδες
...involving them) and also tor the third jf we should take, therefore, as in Geometry, two triangles which have two sides of one equal respectively to two sides of the other, and the included angles equal, then the respective equality of the remaining angles in each triangle... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...THEOREM XXI. If two triangles have two sides of the one respectively equal 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 will be greater than the third side of the second. FIRST BOOK. In the two triangles ABC and DEF, suppose... | |
 | George Roberts Perkins - 1860 - 472 σελίδες
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
 | Richard Wormell - 1868 - 286 σελίδες
...the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater... | |
 | Richard Wormell - 1876 - 268 σελίδες
...second. 2nd. Example. — A similar series of propositions occurs again in Theorems V. and XIII. " When two triangles have two sides of one equal respectively to two sides of the other," and — (a) " The included angle of the one equal to the included angle of the other, the base of one... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...THEOREM. 115. If two triangles hare two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than the included angle of the second, then the third siile of the ftrsl will be greater than the third side nf the second. BDB In the AAB... | |
 | George Albert Wentworth - 1877 - 426 σελίδες
...triangle is also equilateral. PROPOSITION XXXI. THEOREM, 115. lf two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of thefirst greater than the included angle of the second, then the third side of the first will be greater... | |
 | George Albert Wentworth - 1877 - 436 σελίδες
...two spherical triangles have two sides of the one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. 3. To draw an •... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...equilateral. GEOMETRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle (f the first greater than the included angle of the second, then 1lie third side of the first will... | |
 | George Albert Wentworth - 1879 - 196 σελίδες
...AC. Ex. 2. On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal respectively to two sides of the other,...first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. In the spherical... | |
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