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" Any side of a triangle is less than the sum of the other two sides. "
Elements of Plane and Solid Geometry - Σελίδα 38
των George Albert Wentworth - 1877 - 398 σελίδες
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USA and International Mathematical Olympiads, 2003

Titu Andreescu, Zuming Feng - 2004 - 85 σελίδες
...with sides lengths a |, \ß\, and a + ß\. 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 sin2x + cos2 z = 1, sinx 1 tan x = , cot x...
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USA and International Mathematical Olympiads 2004

Titu Andreescu, Zuming Feng, Po-Shen Loh - 2005 - 100 σελίδες
...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 = ,...
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The Thirteen Books of Euclib's Elements.

Euclid
...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 one point...
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Texas School Journal, Τόμος 14

1896
...empiricism — never to clip the growing tree at the top. Now, every man (and every dog) knows that one side of a triangle is less than the sum of the other two sides; but no one would suppose that this circumstance entitled every man to opinions concerning the conclusions...

Sessional Papers, Τόμος 12

1888
...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 of a triangle...

Kendall/Hunt Pre-algebra Teacher Guide

...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...
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