 | William C. Bartol - Geometry, Solid - 1893 - 112 pages
...triangle be equal respectively to two sides of another, but the third side of the first triangle be 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. 359. The diagonal of a parallelogram... | |
 | William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...congruent (why?) ; hence AM+ MD = AC (why?),andylC>ylD, or AC>A'C. Hence Theorem XXVI. — - Two A having two sides of one equal to two sides of the other, but the included angles unequal, have also the third sides unequal, the greater side lying opposite the greater... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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 first is greater than the included angle of the second. 3. If the diagonals... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...THEOREM. 90. (Converse of Prop. XXVIII.) 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 thii'd side of the second, the included angle of the first is greater than the included angle of the... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...respectively. . § 131. Prove OM equal to О N. RECTILINEAR FIGURES. PROPOSITION XL. 138. Theorem. // two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, and that side is the greater... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...(Converse of Prop. XXVIII.) If two triangles have two sides of one equal respectively to two shies of the other, but the third side of the first greater than thk third side of the second, the included angle of the first is greater than the included angle of... | |
 | George Cunningham Edwards - Geometry - 1895 - 324 pages
...difference of the interior angles at P and C will equal the sum of the A PAC and PBC. ' 3. Show that if two triangles have two sides of one equal to two sides of the other, and their included angles unequal, the triangle having the greater included angle will have... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...Hence XC=XC. Now BC<BX+XC. § 7 [A straight line is the shortest path between any two of its points.] Substituting XC for its equal XC, BC'<BX+XC. Or BC'<BC....other but the third side of the first greater than thc third side of the second, then the angle opposite the third side of the first is greater than the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...for its equal XC ', BC'<BX+XC. Or BC'<BC. 0. ED PROPOSITION XXVI. THEOREM 03. Iftu'o triangles liave two sides of one equal to two sides of the other but the third side of the first greater than tlie third side of the second, then the angle opposite the tliird side of t lie first is greater than... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 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. 154. In an isosceles triangle... | |
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... the third side of the first is greater than the third side of the second. 
