| James Atkinson - Navigation - 1765 - 504 pages
...cutting each other, the Angles which are oppofite and contrary, are equal to one another. 4. The Sum **of any two Sides (of a Triangle) is greater than the third Side.** 5. The Sum of the three J jjJJ*^ lis lefs than a J more than i8od. _r6. Any two Sides added together,... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...being neither equal to AC, nor less than it, must necessarily be greater. QED i THEOREM X. THE Sum **of any Two Sides of a Triangle is Greater than the Third Side. Let ABC be a triangle** ; t'jien will the < I) sum of any two of its sides be greater than the third side, as for instance,... | |
| Charles Hutton - Mathematics - 1816 - 610 pages
...being neither equal to AC, nor less than it, must necessarily be greater, q. ED • 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** sun) of any two of its sides be greater than -D the third side, as for instances, AC + CB S greater... | |
| Charles Hutton - Arithmetic - 1818 - 646 pages
...then, being neither equal to AC, nor less than it, must necessarily be greater. QED THEOREM X. THE Sum **of any Two Sides of a Triangle is Greater than the...Side. Let ABC be a triangle ; then will the sum of** any two of its sides be greater than D the third side, as for instances, AC -f- CB S greater than AB.... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...being neither equal to AC, nor less than it, must necessarily be greater, o.. ED 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** . lum of .ny two of its side* be greater than the third side, as for instances, AC -J-cB greater than... | |
| John Playfair - Geometry - 1829 - 210 pages
...greater angle; and, conversely, the greater of any two angles is subtended by the greater side. The sum **of any two sides of a triangle is greater than the third side.** If one side of any triangle be produced, the external angle is equal to both the internal and opposite... | |
| Charles Hutton - Mathematics - 1831 - 660 pages
...equal to AC, nor less than it, must necessarily be greater, a. ED T1IEOBEH X. THE sum of any two sidtes **of a triangle is greater than the third side. Let ABC be a triangle ; then will the** тч sum of any two of its sides be greater , than the third side, as for instance, ft ^ AC + ев... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 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...is the shortest distance between the points A and** 15 (Def. 3.) ; hence AC + CB is greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...applied to each other, and the equal parts will mutually coincide. 4 PROPOSITION VII. THEOREM. The sum **of any two sides of a triangle, is greater than the...shortest distance between the points A and B (Def.** 3.) ; hence AC + CB is greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within a triangle,... | |
| Adrien Marie Legendre - Geometry - 1838 - 382 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...than the third side AB. For the straight line AB is** tlte shortest distance between the points A and B (Def. 3.); hence AC + CB is greater than AB. A. PROPOSITION... | |
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