 | Titu Andreescu, Zuming Feng, Po-Shen Loh - Mathematics - 2005 - 130 pages
...with sides lengths |or|. \fi\, and |or + fi\. The triangle inequality restates the fact the the length of any side of a triangle is less than the sum of the lengths of the other two sides. Trigonometric Identities sin2 x + cos2 .v = 1 , sin .v 1 tan.x = ,... | |
 | 608 pages
...of a triangle is greater than the measure of the third side? Couldn't you also say that the measure of any side of a triangle is less than the sum of the measures of the other two sides? Mathematical sentences such as 3 + 4 > 5 and 5 < 3 + 4 are called... | |
 | Edward Trevert, Arthur Eugene Watson - Amateur radio stations - 1912 - 612 pages
...and the triangle is said to be equiangular. In this case each angle contains 60 degrees. The length of any side of a triangle is less than the sum of- the lengths of the other two sides, and is greater than their difference. A line drawn parallel to the... | |
 | McGill University - 1868 - 402 pages
...rectangles under the whole and each of the parts. 3. The square of the side opposite an acute angle of a triangle is less than the sum of the squares of the sides containing it by twice the rectangle under either of them, and the segment of the other contained... | |
 | Canada - 1888 - 876 pages
...terms : Postulate, theorem, corollary, scholium, axiom. 3. Give the first four axioms of Euclid. 4. Any side of a triangle is less than the sum of the other two. 5. From a point within a straight line, only one perpondicnlar can be drawn. 6. If one side... | |
 | Euclid - 454 pages
...two equal obliques and two only, one on each side of the perpendicular, and (2) the proposition that any side of a triangle is less than the sum of the other two. Consider the circle (C) with centre O, and a straight line (r) with one point A inside and... | |
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Any side of a triangle is less than the sum of the other two sides... 
