 | Adrien Marie Legendre - 1828 - 346 σελίδες
...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 - 1830 - 344 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...EC to each; then BC = DE + EC. But DE + EC, is greater than DC. Therefore BC>DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. THEOREM XXIII. A perpendicular is the shortest line that can be drawn from any point to... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1868 - 276 σελίδες
...to each ; then BC = DE + E0. But DE + E0 is greater than DC. Therefore BC> DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. Cot. Any point out of the perpendicular drawn from the middle point of a Hne, is unequally... | |
 | 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 σελίδες
...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... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...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... | |
 | Edward Olney - 1872 - 562 σελίδες
...Fia. 210. PROPOSITION X. 295. Theorem. — If two triangles hare 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 Iclongs to the triangle having the greater included... | |
 | Edward Olney - 1872 - 472 σελίδες
...F1a. 210. PROPOSITION X. 293. Theorem,, — If two triangles have two sides of t¡te 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... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...spherical triangle~s on the same sphere or on equal spheres 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... | |
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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. 
