Unformatted text preview: In acuteangled triangles the square on the side subtending the acute angle is less than the squares on the sides containing the acute angle by twice the rectangle contained by one of the sides about the acute angle, namely that on which the perpendicular falls, and the straight line cut oF within by the perpendicular towards the acute angle. Translated into algebraic language (see ±igure 1.15 , where the acute angle is ∠ ABC ) this says A B C D ±igure 1.15: Euclid Book II, Proposition 13  AC  2 =  CB  2 +  BA  2 −  CB  BD  . Explain why this is the same as the Law of Cosines. 1.2 Vectors and Their Arithmetic Many quantities occurring in physics have a magnitude and a direction—for example, forces, velocities, and accelerations. As a...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Equations, Vectors

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