 | Charles Davies - Trigonometry - 1849 - 372 pages
...namely, that two triangles which haw all the parts of the one equal to the parts of t he other. yu;'i B to each, are equal; for they may be applied to each...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 +... | |
 | Perry Fairfax Nursey - Industrial arts - 1849 - 650 pages
...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... | |
 | Industrial arts - 1849 - 654 pages
...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... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...side AB 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 Hum the third side. D In the triangle ABC, the sum C of the two sides AC and BC is greater than the... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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...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... | |
 | Samuel Mosheim Smucker - Apologetics - 1853 - 498 pages
...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 - Geometry - 1854 - 436 pages
...equal: 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...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 - 1855 - 340 pages
...greater than the angle CBF, consequently it is greater than the angle C24 Of TrianglesTHEOREM XTht sum of any two sides of a triangle is greater than the third sideLet ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...then, being neither eciul ID AC, nor less íli. ai it, must necessarily be greater. QED THEOREM x. The. sum of any two sides of a triangle is greater than the third tue. Let ABC be a triangle ; tben will tlie sum of яиу two of its sides be greater than the third... | |
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America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side. 
