If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle 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 - Page 45by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagesFull view - About this book
| William Nicholson - Natural history - 1809
...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 - Arts - 1819
...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 - Geometry - 1828 - 169 pages
...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 - Euclid's Elements - 1836 - 128 pages
...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... | |
| GEORGE R. PERKINS - 1856
...THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and **the included angle of the first greater than the included angle of the second,** the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two... | |
| George Roberts Perkins - Geometry - 1860 - 443 pages
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, **the included, angle of the first greater than the included angle of the second,** th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
| Euclides - 1862
...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... | |
| Richard Wormell - Geometry, Plane - 1868 - 261 pages
...the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal **to two sides of the other, but the included angle of the** one greater than the included angle of the other, the base of that which has the greater angle is greater... | |
| William Frothingham Bradbury - Geometry - 1872 - 238 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... | |
| William Frothingham Bradbury - Geometry - 1872 - 110 pages
...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... | |
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