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 Bøker Bok 91–100 av 114 på America, but know that we are alive, that two and two make four, and that the sum...
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.
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 287
av Charles Hutton - 1825
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## Plane Geometry

Herbert Edwin Hawkes, Frank Charles Touton - 1920 - 305 sider
...more usual statement is : A straight line is the shortest line between two points. Theorem 40 147. The sum of any two sides of a triangle is greater than the sum of two lines drawn from a paint within it to the extremities of the third side. 1C AB Given the...
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## Essentials of Plane Geometry

David Eugene Smith - 1923 - 296 sider
...know that ZA> Z5. Accordingly, we conclude that the theorem is true. 88 Exercises. Inequalities 1. The sum of any two sides of a triangle is greater than the third side, and the difference between any two sides is less than the third side. Use Post. 3 for the first statement...
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## The London Quarterly Review, Volum 25

...that there is a Continent of America, but know that we arc alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side. This is a distinction of practical value : but in Sir W. Hamilton's use of the term, it is the intuitive...
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## The Fortnightly Review, Volum 29

1878
...that there is a Continent of 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. This is a distinction of practical value ; but in Sir William Hamilton's use of the term it is the...
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## Mathematical Thought from Ancient to Modern Times:

Morris Kline - 1990 - 390 sider
...because in it AE is extended its own length to F, and it must be possible to do this. Proposition 20. The sum of any two sides of a triangle is greater than the third side. This theorem is as close as one comes in Euclidean geometry to the fact that the straight line is the...
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## Studies in Greek Philosophy: Socrates, Plato, and their tradition

Gregory Vlastos - 1995 - 796 sider
...(322. 4ff.)19 which Crönert thinks was Zeno's is the one directed against Euclid's proof of 1.20: that the sum of any two sides of a triangle is greater than the third. If the author of this criticism was Zeno, why should Proclus refer to him only as "Epicureans"? 17...
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## What is Mathematics?: An Elementary Approach to Ideas and Methods

Richard Courant, Herbert Robbins, Ian Stewart - 1996 - 566 sider
...hence, PR + RQ = P'R + RQ = P'Q and PR' + R'Q = P'R' + R'Q. But P'R' + R'Q is greater than P'Q (since the sum of any two sides of a triangle is greater than the third side), hence PR' + R'Q is greater than PR + RQ, which was to be proved. In what follows we assume that neither...
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## Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 344 sider
...is opposite the greater angle. 19. In a triangle the greater angle is opposite the greater side. 20. The sum of any two sides of a triangle is greater than the third side. 21. If two straight line segments are drawn from the ends of a side of a triangle to a point within...
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## A Complete Course in ISC Physics

V. P. Bhatnagar - 1997 - 794 sider
...less than | A*| + | B*| ? Explain. [Ans. | A*| + 1 §*! £ | A*+ §\ This follows from the fact that the sum of any two sides of a triangle is greater than the third side. Alternatively [|A>| + |B>|]2-[A>+BT = 4|A>||B>|sin2| which is always positive or zero.] B 18. If area...
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## Arithmetic for Teachers: With Applications and Topics from Geometry

Gary R. Jensen - 2003 - 383 sider
...these two sets of square feet. which will have 124 + 235 ft2. ( 18) (Triangle Inequality) Explain why the sum of any two sides of a triangle is greater than the third side. In your argument. you may assume known that the straight line is the shortest path joining two points....
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