 | James Atkinson - 1765 - 504 σελίδες
...Circles 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 - 1816 - 610 σελίδες
...then, 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,... | |
 | Charles Hutton - 1822 - 616 σελίδες
...AB, then, 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,... | |
 | John Playfair - 1829 - 210 σελίδες
...the 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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third... | |
 | William Scott - 1845 - 288 σελίδες
...of ж2 =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... | |
 | Nathan Scholfield - 1845 - 894 σελίδες
...respectively equal, namely, the angle D=A, the side ED=BA, and the side DF=AC. PROPOSITION X. THEOREM. The nan 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... | |
 | George Roberts Perkins - 1847 - 326 σελίδες
...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 - 494 σελίδες
...will 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... | |
 | Perry Fairfax Nursey - 1849 - 650 σελίδες
...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 line given... | |
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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. 
