 If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second....  Plane and Solid Geometry, Suggestive Method - Page xxvby George Clinton Shutts - 1913 - 476 pagesFull view - About this book
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...parallelogram ; E and F the middle points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively...to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram into four equivalent... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...direction. To prove the proposition by the help of the construction we must know, — 1. That if two AS have two sides of the one equal respectively to two sides of the other, and also the ^ included between the said sides in the first A equal to the ^ included between the said... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...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... | |
 | Edward Olney - 1872 - 270 pages
...PROPOSITION X. Fio. 210. 295. 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... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...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... | |
 | 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... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...equiangular triangle is also equilateral. GEOMETRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle (f the first greater than the included angle of the second, then 1lie third... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle is also equilateral. 50 (1EOMKTRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles hare two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than the included angle of the second, then the... | |
 | George Albert Wentworth - 1879 - 196 pages
...inequalities, BD _f. DC< AB .f AC. Ex. 2. On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side... | |
 | Eli Todd Tappan - Geometry - 1868 - 454 pages
...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... | |
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