 | Adrien Marie Legendre - 1828 - 346 pagina’s
...found BO +OCZBD+DC; therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. If two triangles have two sides of the one respectively equal to two...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 included... | |
 | Adrien Marie Legendre - 1830 - 344 pagina’s
...have just found BO4OCZ 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... | |
 | George Roberts Perkins - 1856 - 460 pagina’s
...respectively equal to the two 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 - 1860 - 472 pagina’s
...respectively equal to the two 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... | |
 | Robert Potts - 1860 - 380 pagina’s
...triangle is supplemental to the other. Hence the following property : — If two triangles have two si-les of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Eli Todd Tappan - 1864 - 288 pagina’s
...alone are never enough to determine a triangle. UNEQUAL TRIANGLES. 293. Theorem — When two triangles have two sides of the one respectively equal to two...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 AEI be... | |
 | 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 - 1882 - 580 pagina’s
...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 greater included... | |
 | Edward Olney - 1872 - 270 pagina’s
...bringing together the two greatest sides. PROPOSITION X. Fio. 210. 295. Theorem.—If two triangles have two sides of the one respectively equal to two...to the triangle having the greater included angle. third in the DEM.—Let ACB and DEF be two triangles having AC = DF, CB = FE, and C > F ; then is AB... | |
 | Edward Olney - 1872 - 472 pagina’s
...greatest sides. F1a. 210. PROPOSITION X. 293. Theorem,, — If two triangles have two sides of t¡te one respectively equal to two sides of the other,...to the triangle having the greater included angle. ELEMENTARY PLANE GEOMETRY. DEM.— Let ACB and DEF be two triangles having AC = DF, CB = FE, and C... | |
 | Edward Olney - 1872 - 562 pagina’s
...bringing together the two greatest sides. Fia. 210. PROPOSITION X. 295. Theorem. — If two triangles hare two sides of the one respectively equal to two sides...third sides are unequal, and the greater third side Iclongs to the triangle having the greater included angle. ELEMENTARY PLANE GEOMETRY. DEM.— Let ACB... | |
| |
Theorem.—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 are unequal, and the greater third side belongs to the triangle having the greater included angle. 
