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FROM PYTHAGORAS TO NEWTON 1 The doctrines of the Pythagoreans I
Zeno and Protagoras
Democritus and Plato
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absolute motion absolute space appear Aristotle atoms Author's note Averroes axioms basis Berkeley called century chapter classical mechanics connection coordinates curvature deduced definition Democritus Descartes displacements distance doctrine of space earth Einstein Einstein's theory electron equations ether Euclid's Euclidean geometry Euler existence experiments explain expressed fact fixed stars force formula Galileo geodesic lines geometry and physics gravitational field group of transformations Helmholtz hypothesis importance infinite influence invariant Kant Kant's law of inertia Leibniz line element Lobachevski Lorentz Mach mass mathematicians matter Maxwell's equations measure ment metaphysical metrical motionless movement nature Newton's non-Euclidean geometry observer particle philo Philopon philosophy Plato Poincare point of view possible postulate Principia principle of Relativity problem properties Protagoras Pythagoreans question recognised relation rest result Riemann rigid body rotation shewed Sophus Lie special theory straight line surface tensor theory of relativity things thought tion velocity of light world lines