If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. If two triangles have two sides of... Plane and Solid Geometry - Page 42by Elmer Adelbert Lyman - 1908 - 340 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will be unequal ; and the greater side, will belong to the triangle which has the greater... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...BD+DC ; therefore, still more is BO+OC L BA + AC. THEOREM. 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, tJie third sides will be unequal ; and the greater side, will belong to the triangle which has the... | |
| 1851 - 1152 pages
...of Л and B. 6. Solve the following equations :— (1.) 3*-fl-ar-l-2r-f 5 д-lx + l 2*2-2 (2.) . 7. If two triangles have two sides of'!»' one respectively equal to two sides of ik other, and the contained angles equal, Pn'" t liāt the triangles will be equal in <**? respect.... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...sides containing the right angle of the other. 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... | |
| George Roberts Perkins - Geometry - 1860 - 474 pages
...sides containing the right angle of the other. • 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, th'> third side of the first will... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...determine a triangle. UNEQUAL TRIANGLES. 293. Theorem — When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Let BCD and... | |
| Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - Education - 1882 - 580 pages
...abstraction. Now make the same statement in geometrical language. If two triangles have hvo sides of the one equal to two sides of the other and the included angles unequal, the third sides will be unequal also, and the greater third side will be in that triangle which has the... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...triangles as in the f)gure; draw BE bisecting the angle CHS, and join C and E.) 80. (Converse of 79.) If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal, the included angle of the one having the third side greater is greater... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...bisected, any other line drawn through the point of bisection and joining the parallels is bisected. 79. If two triangles have two sides of one respectively equal to two sides of the other, but the included angles unequal, the third side of the one having the included angle greater is greater... | |
| Eli Todd Tappan - Geometry - 1873 - 288 pages
...determine a triangle. 98 UNEQUAL TRIANGLES. 393. Theorem — When two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side in that triangle which has the greater angle, is greater than in the other. Let BCD and... | |
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