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Unformatted text preview: Principia Mathematica Naturalis Philosophiae (1686) Mathematical Principles of Natural Philosophy In Latin (universal language) Nature follows rules that are mathematical. A mathematics book for the natural world Newtons model: Euclids geometry book, Elements Start with a few axioms ( selfevident truths with no proof) Deduce observed universe from the axioms If today is Monday, this must be Boston University! Portrait of Isaac Newton in 1689 by Sir Godfrey Kneller Fundamental Undefined Quantities I do not define time, space, place as being well known to all. Newton, Principia time: t position, distance: d Average Speed: v Average speed = distance traveled change in time v = d t Example: 200 miles in 4 hours average speed = 200 miles 4 hours = 50 mi./hour Instantaneous speed: speed at any moment (e.g. speedometer) Velocity (a vector) Velocity: speed and direction Velocity : v Velocity is a vector. A vector is any quantity with both magnitude and direction. Acceleration:...
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This note was uploaded on 05/04/2008 for the course NS 102 taught by Professor Lavalli during the Spring '08 term at BU.
 Spring '08
 Lavalli

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