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JSA19Feb2008Newton

JSA19Feb2008Newton - Principia Mathematica Naturalis...

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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 • Newton’s model: Euclid’s geometry book, Elements • Start with a few axioms ( self-evident 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 = Δd Δt 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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JSA19Feb2008Newton - Principia Mathematica Naturalis...

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