 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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
...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 - Geometry - 1860 - 470 pages
...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 - Geometry, Modern - 1864 - 288 pages
...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... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...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... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...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 - Geometry - 1872 - 472 pages
...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 - Geometry - 1876 - 384 pages
...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... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...GHDH common./ , (I. 2), £tf + HF > EF \BG'> EF. (Constr.), EG = BC/ Proposition 23. Theorem. — If two triangles have two sides of one equal to two sides of the other, each to each, but the third sides unequal, the angle contained by the two sides of the one which... | |
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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. 
