 | 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,... | |
 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...is opposite to the greater angle, and the less side to the less angle. 3. The sum of any two sides is greater than the third side ; and their difference is less than the third side. 4. The difference of any two sides is less than 180°; and the sum of the three sides is less than... | |
 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...is opposite to the greater angle, and the less side to the less angle. 27. The sum of any two sides is greater than the third side, and their difference is less than the third side. 28. The difference of any two sides is less than 180°, or a semicircle; and the sum of the three sides... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...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,... | |
 | John Bonnycastle - Trigonometry - 1818 - 488 pages
...the greater angle, and the less side to the less angle. 3. The sum of any two sides of a spherical triangle, is greater than the third side ; and their difference is less than the third side. 4. The difference of any two sides of a spherical triangle is less than a semicircle, or 180°; and... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...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,... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...spherical triangle is less than a semicircle, or 180°. 3. The sum of any two sides of a spherical triangle is greater than the third side; and their difference is less than the third side. 4. The dilference of any two Aides of a spherical triangle is less than a semicircle, or ISO9 ; and... | |
 | 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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...for they 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... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...Cor. Hence in a right-angled triangle the hypotenuse is the longest side. (Prop. 12, Cor. 3.) PROP. XVI. THEOREM. The sum of any two sides of a triangle is longer than the third side. In the triangle ABC, we have to prove, for example, that AB+BC is longer... | |
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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. 
