 | George Albert Wentworth - Algebra - 1891 - 544 pages
...of a pure imaginary Ы is b ; the amplitude is 90° if b is positive, 270° if b is negative. 544. Since the sum of the lengths of two sides of a triangle...than the length of the third side, it follows from §§ 540, 542, that the modulus of the sum of two complex numbers is less than the sum of the moduli.... | |
 | Electronic journals - 1922 - 560 pages
...following. If a and a' be any two points, V (ad) + V (a' -a') ^ VQo — a') -(a — a')]- In other words the sum of the lengths of two sides of a triangle is always greater than the length of the third side. It is to be noted that this inequality serves to... | |
 | Thomas J. Foster - Coal mines and mining - 1905 - 698 pages
...greater angle, and the greater angle is opposite the greater side. 8. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 9. In an isosceles triangle, the angles opposite the equal sides are equal. 10. In any triangle, the... | |
 | Clement Vavasor Durell - Geometry, Plane - 1909 - 244 pages
...This is a definition of what is meant by addition. Notice that it does not violate the theorem that the sum of the lengths of two sides of a triangle is greater than the length of the third ; for it does not state that the length of A£ + the length of BC=\he. length of AC; but that the result... | |
 | Clement Vavasor Durell - Geometry, Plane - 1909 - 244 pages
...This is a definition of what is meant by addition. Notice that it does not violate the theorem that the sum of the lengths of two sides of a triangle is greater than the length of the third ; for it does not state that the length of AB + the length of 2?C=the length of AC; but that the result... | |
 | International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...greater angle, and the greater angle is opposite the greater side. 8. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 9. In an isosceles triangle, the angles opposite the equal sides are equal. 10. In any triangle, the... | |
 | Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...greater angle, and the greater angle is opposite the greater side. 8. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 9. In an isosceles triangle, the angles opposite the equal sides are equal. 10. In any triangle, the... | |
 | Earth sciences - 1918 - 800 pages
...resultant momenta AD and DC. To demonstrate this proposition it is necessary only to consider that since the sum of the lengths of two sides of a triangle is greater than the length of the third side AC plus DC is greater than AD. If DC be deducted from both quantities it is seen that AC is greater... | |
 | Great Britain - 1919 - 734 pages
...understanding Einstein's theory can be made. Let us take a simple proposition about space. Euclid says that the sum of the lengths of two sides of a triangle is always greater than the length of the third side. There is no mathematical or * This extends an earlier... | |
 | E. T. Copson - Mathematics - 1988 - 156 pages
...y, z are points in the complex plane with the usual Euclidean metric, this inequality asserts that the sum of the lengths of two sides of a triangle is not less than the length of the third side. For this reason, (iii) or its equivalent (iv) is called... | |
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side. 
