| 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 - 564 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 - Geometry - 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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