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Topologically, all surfaces are Klein bottles, even the Roman and Boy Kepler's laws derived from Newtonian gravitation.Ī 3D immersion of a Klein bottle that smoothly deforms between theĮtruscan Venus surface, the Roman surface, the Boy surface, and the Isaac Newton's Principia Mathematica was published in 1687, and proved that The inverse-square law of gravity was suggested by Boulliau in 1645. Kepler discovered that the planets actually move in elliptical orbits in aboutġ602. To the heliocentric model at the beginning of the sixteenth century. Then the known universe, at around 150 A.D. Ptolemy of Alexandria went on to apply them to what was Inventor of the heliocentric universe model. The geometry of epicycles was perfected by Hipparchus of Rhodes at some timeĪround 125 B.C., 185 years after the birth of Aristarchus of Samos, the
That circle rotates around a point on the rim of another This draws the path traced out by a point on the edge of aĬircle. A pre-heliocentric model of planetary motion.
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