 | William Nicholson - Natural history - 1809 - 716 pages
...fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the.... | |
 | William Nicholson - Arts - 1819 - 432 pages
...fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the... | |
 | George Darley - Euclid's Elements - 1836 - 172 pages
...BC, the sides AB and BC are together greater than AC. This, &c. ART. 44. If two triangles have two sides of the one equal respectively to two sides of the other, but the angle contained by each pair of these sides unequal,—the base of that triangle whose given... | |
 | Euclides - 1862 - 140 pages
...base. 40. To describe a triangle equal to a given quadrilateral figure. 41. If two triangles have two sides of the one equal respectively to two sides of the other, and have likewise the contained angles supplementary, the triangles are equal in area. 42. To bisect a... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...F the middle points of AB and CD. BFand 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...less. IV. — If two triangles have two sides of the one equal to two sides of the other, each to each; and likewise the angles contained by those sides equal to one another; they shall likewise have theirbases, or third sides, equal; and the two triangles shall be equal; and... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...equiangular triangle is also equilateral. PROPOSITION XXXI. THEOREM, 115. lf two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of thefirst greater than the included angle of the second, then the third side... | |
 | George Albert Wentworth - 1879 - 196 pages
..._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... | |
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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.... 
