 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...than ac, then is also /_ acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the greater triangle,... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two triangles have two sides of the one equal to two sides of the other, each to each, and...the triangle which has the greater included angle. Let BAC and EDF be two triangles, having the side AB=DEfAC=DF, and the angle A>D; then will the side... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles_ have two sides of the one equal to two sides of the other, each to each, and...the triangle which has the greater included angle. Let BAC and EDF be two triangles, having the side AB=DE, AC=DF, and the angle A>D; then will the side... | |
 | Popular educator - 1854 - 922 pages
...the opposite side, bisects the triangle. Corollary 2. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by the two sides of the one, the supplement of the angle contained by the two sides... | |
 | Education - 1855 - 1124 pages
...LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, if two triangles have two sides of the one equal to two sides of the other, each to each, and...third sides will be unequal; and the greater side will Jbelong to the triangle which has the greater included angle. 2. Prove that two parallels intercept... | |
 | Euclides - 1855 - 270 pages
...together equul to the square of the base. PROP. С. THEOREM.— If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to either of the two equal sides be each a right angle, the triangles are equal to... | |
 | Euclides - 1856 - 168 pages
...twice as many right angles as the figure has sides. XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles equal, the third sides are also equal, and the remaining angles of the one to the remaining angles... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and...third sides will be unequal; and the greater side mil belong to the triangle which has the greater included angle. Let BAC and EDF be two triangles,... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...mutually equilateral; — 2d, when they are mutually equiangular ; — 3d, when two sides of the one are equal to two sides of the other, each to each, and the included angles are equal ; — 4th, when two angles of the one are equal to two angles of the other, each to each,... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...than ac, then is also / acb greater than /_ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the greater triangle,... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, 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 angle. 
