 | William Scott - Measurement - 1845 - 288 pages
...=c2 — y1, or in that of the area of the triangle deduced from the expression — . ¿ Since the sum of any two sides of a triangle is greater than the third side, (Eue. i. 20.) half the sum of any two sides is greater than half the third side : therefore, half the... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...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 - Apologetics - 1848 - 494 pages
...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... | |
 | Industrial arts - 1849 - 654 pages
...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... | |
 | Perry Fairfax Nursey - Industrial arts - 1849 - 650 pages
...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 - Trigonometry - 1849 - 372 pages
...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 +... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...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 is greater than the...straight line AB is the shortest distance between the two points A and B (Def. 3): hence, AC+CB is greater than AB. THEOREM XT, The greater side of every... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...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 is greater than the...sides, as AC, CB, be greater than the third side AB. D For, the straight line AD is th« shortest distance between the two points A and B (Def. 3): hence,... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 than the...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 distance between... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...Of Triangles. THEOREM X. The sum of any two sides of a tr1angle is greater than the third tide. I.ct ABC be a triangle . then will the sum of two of its sides, as AC, CB, be g eater than lhe third side AB. For the straight line AB is the short. O csl distance between the two... | |
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The sum of any two sides of a triangle, is greater than the third side. 
