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. Plane and Solid Geometry - Page 54by George Albert Wentworth, David Eugene Smith - 1913 - 470 pagesFull view - About this book
| Charles Davies - Trigonometry - 1849 - 372 pages
...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 +... | |
| 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 line given... | |
| Charles Davies - Geometry - 1850 - 238 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 third side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third... | |
| Charles Davies - Geometry - 1850 - 218 pages
...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 is greater than the third side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third... | |
| 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 than the third side. Let ABC be a triangle : then will the sum of two of its sides, as AB, BC, be greater than the third... | |
| 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
...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 than the third side. Let ABC be a triangle : then will the sum of two of its sides, as AB, BC, be greater than the third... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...Similarly it may be shewn that AB + BCis greater than AC, and AC+ AB greater than BC. CoR. Hence, also, the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each... | |
| 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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