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See [[Classical mechanics]]

See [[Classical mechanics]]

Later in life, as a holder of the Cambridge Lucasian chair of mathematics, Newton worked out his initial ideas into a set of mechanical laws, with his second and most important law: Force is mass times acceleration (<math>\scriptstyle F = m a~</math>). Newton was the first to understand the concept of inertial forces, notably the centrifugal force, although Christian Huyghens was close to understanding this effect. In 1684 Newton proved  that [[Johannes Kepler|Kepler's laws]] follow from his own second law in conjunction with his gravitational law. This proof completed the astronomical revolution initiated by [[Nicolaus Copernicus]].

Later in life, as a holder of the Cambridge Lucasian chair of mathematics, Newton worked out his initial ideas into a set of mechanical laws, with his second and most important law: Force is the rate of change of momentum with respect to time. This can often be simplified, in the case of constant mass to the well known <math>\scriptstyle F = m a</math>. Newton was the first to understand the concept of inertial forces, notably the centrifugal force, although Christian Huyghens was close to understanding this effect. In 1684 Newton proved  that [[Johannes Kepler|Kepler's laws]] follow from his own second law in conjunction with his gravitational law. This proof completed the astronomical revolution initiated by [[Nicolaus Copernicus]].

==Principia Mathematica==

==Principia Mathematica==