 | James Atkinson - Navigation - 1765 - 504 pages
...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 - Mathematics - 1811 - 406 pages
...The side AB, then, 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...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 - 1822 - 616 pages
...supposition. The side 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...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
...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... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...opposite the greater side AB, be greater than the angle B, opposite the less side AC.— (Fig. 8.) 10. Let ABC be a triangle ; then will the sum of any two...its sides be greater than the third side ; as, for instance, AC + CB greater than AB.— (Fig. 9.) 58 GEOMETRY. two siiles, as AB — AC, be less than... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 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...side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third side AB. For the straight line AB is the shortest... | |
 | William Grier - Mechanical engineering - 1836 - 384 pages
...angle ACS, opposite the greater side AB, be greater than the angle B, opposite the less side AC. 10. Let ABC be a triangle; then will the sum of any two...its sides be greater than the third side; as, for instance, AC + CB greater than AB. 1 1. Let ABC be a triangle ; then will the difference of any two... | |
 | William Grier - Mechanical engineering - 1842 - 320 pages
...angle ACB, opposite the greater side AB, be greater than the angle B, opposite the less side AC. 10. Let ABC be a triangle; then will the sum of any two...its sides be greater than the third side ; as, for instance, AC -f- CB greater than AB. 11. Let ABC be a triangle; then will the difference of any two... | |
 | Nathan Scholfield - 1845 - 894 pages
...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...side. Let ABC be a triangle : then will the sum of two of its sides, as AC, CB, be greater than the third side AB. For the straight line AB is the shortest... | |
 | William Scott - Measurement - 1845 - 288 pages
...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... | |
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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. 
