| George Roberts Perkins - 1847 - 308 sider
...is neither equal to AC, nor less than it, it must of necessity be greater. PROPOSITION XVI. THEOREM. **The sum of any two sides of a triangle is greater than the third side.** D In the triangle ABC, the sum of the two sides AC and BC is greater than the third side AB. For, produce... | |
| Samuel Moshaim Schmucker - 1848 - 480 sider
...harmonize. Thus for instance, a whole college of savans might examine for an age the proposition that **the sum of any two sides of a triangle is greater than the third side** ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and... | |
| Sholto Percy, Perry Fairfax Nursey - 1849
...introducing this subject to the notice of the reader, the author remarks, that " Euclid has demonstrated that **the sum of any two sides of a triangle is greater than the third side** ; and from this proposition Mr. Simpson has solved the very useful problem of finding a point in a... | |
| Charles Davies - 1849 - 359 sider
...may be applied to each other, and the equal parts will mutually coincide. PROPOSITION VII. THEOREM. **The sum of any two sides of a triangle, is greater than the third side.** For the straight line AB is the shortest distance between the points A and B (Def. 3.); hence AC +... | |
| 1849
...this subject to the notice of the reader, tne author remarks, that " Euclid has demonstrated that tho **sum of any two sides of a triangle is greater than the third side** ; and from this proposition Mr. Simpson has solved the very useful problem of finding a point in a... | |
| Charles Davies - 1850 - 216 sider
...angle CBD is greater than the angle CBF , consequently it is greater than the angle C. Of Triangles. **THEOREM X. The sum of any two sides of a triangle...side. Let ABC be a triangle : then will the sum of** two of its sides, as AC, CB, be greater than the third side AB. D For, the straight line AD is th«... | |
| CHARLES DAVIS, L.L. D. - 1850
...angle CBD is greater than the angle CBF, consequently it is greater than the angle C, Of Triangles. **THEOREM X. The sum of any two sides of a triangle...side. Let ABC be a triangle : then will the sum of** two of its sides, as AC, CB, be greater than the third side AB. For, the straight line AB is the shortest... | |
| A. M. LEGENDRE - 1852
...will be equal: for, when applied to each other, they will mutually coincide. PROPOSITION VII. THEOEEM. **The sum of any two sides of a triangle, is greater...side. Let ABC be a triangle : then will the sum of** two of its sides, as AB, BC, be greater than the third side AC. For the straight line AC is the shortest... | |
| Samuel Mosheim Smucker - 1853 - 480 sider
...harmonize. Thus for instance, a whole college of savans might examine for an age the proposition that **the sum of any two sides of a triangle is greater than the third side** ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and... | |
| Charles Davies, Adrien Marie Legendre - 1854 - 432 sider
...for, when applied to each other, they will mutually coincide. 26 GEOMETRY. PROPOSITION vl1. THEOREM. **The sum of any two sides of a triangle, is greater...side. Let ABC be a triangle : then will the sum of** two of its sides, as AB, BC, be greater than the third side AC For the straight line AC is the shortest... | |
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