 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, the third side of the first is greater than the third side of the second...  Modern Junior Mathematics - Σελίδα 224των Marie Gugle - 1920Πλήρης 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... | |
 | 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... | |
 | Webster Wells - 1886 - 392 σελίδες
...Substituting for F'G its equal CG, BG + CG >BF'. That is, BOEF. PROPOSITION XXIV. THEOREM. 87. CONVERSELY, if two triangles have two sides of 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... | |
 | George Irving Hopkins - 1891 - 210 σελίδες
...hypothenuse is equivalent to the sum of the polygons upon the other two sides. ADVANCE THEOREMS. 435. If two triangles have' two sides of one equal respectively to two sides of the other, and their included angles supplementary, the triangles are equivalent. 437. If through the middle point... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 σελίδες
...1890. 1. Two angles whose sides are perpendicular each to each are either equal or supplementary. 2. If two triangles have two sides of 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... | |
 | Webster Wells - 1894 - 400 σελίδες
...for GH its equal CH, we have EF. PROPOSITION XXIX. THEOREM. 90. (Converse of Prop. XXVIII.) If tivo triangles have two sides of 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... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 522 σελίδες
...they meet, and find the areas of the two triangles of which the trapezoid is the difference. 171. If two triangles have two sides of one equal respectively to two sides of another and the included angles supplementary, the triangles are equal in area. PROPOSITION XI. THEOREM.... | |
 | Webster Wells - 1894 - 256 σελίδες
...ft. 3 in., what is the homologous altitude of the second ? 21. Two triangles are equivalent when they have two sides of one equal respectively to two sides of the other, and the included angles supplementary. 22. One diagonal of a rhomhus is five-thirds of the other, and... | |
 | Webster Wells - 1894 - 398 σελίδες
...line.] (§ 50.) Whence, the point A falls at D. PROPOSITION XXVIII. THEOKEM. 89. If two triangles ha ve 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, the third side of... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 σελίδες
...have their sides equal, each to each, are they necessarily equal ? PROPOSITION XXV. THEOREM 92. 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... | |
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