 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 - Σελίδα 66των George Albert Wentworth - 1899 - 473 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William Nicholson - 1809 - 716 σελίδες
...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 the.... | |
 | William Nicholson - 1819 - 432 σελίδες
...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 the adjacent... | |
 | George Darley - 1828 - 190 σελίδες
...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 of... | |
 | George Darley - 1836 - 172 σελίδες
...sides contain the greater angle is greater than the base of the other triangle, ibid. ART. 45. If two triangles have two sides of the one equal respectively to two sides of the other, but their bases unequal,—the vertical angle of that triangle which has the greater base is greater... | |
 | Euclides - 1862 - 140 σελίδες
...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 a... | |
 | William Frothingham Bradbury - 1872 - 262 σελίδες
...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... | |
 | William Frothingham Bradbury - 1872 - 124 σελίδες
...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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...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 σελίδες
...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 - 1877 - 416 σελίδες
...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... | |
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