 | William Nicholson - 1809 - 716 sider
...and 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... | |
 | William Nicholson - 1819 - 432 sider
...and 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... | |
 | George Darley - 1828 - 190 sider
...thicken upon us in the few next pages. LESSON I. ARTICLE 1. " If there be two triangles which have hvo sides of the one equal, respectively, to two sides of the other; and likewise the angles contained by those sides equal to one another : then the bases or third sides... | |
 | George Darley - 1836 - 172 sider
...things we take equal things, the remainders are unequal, 49. ARTICLE 1. If there be two triangles which have two sides of the one equal, respectively, to two sides of the other; and likewise the angles contained by those sides equal to one another :—then, the bases or third... | |
 | Euclides - 1862 - 140 sider
...parallel to the 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... | |
 | William Frothingham Bradbury - 1872 - 124 sider
...parallelogram ; E and 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... | |
 | William Frothingham Bradbury - 1872 - 262 sider
...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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...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... | |
 | George Albert Wentworth - 1877 - 416 sider
...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 side of... | |
 | George Albert Wentworth - 1877 - 436 sider
...of the other two sides of the triangle. 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, hut 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.... 
