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Archimides, the most famous ancient mathematician is specially important for his discovery of the relation between the surface and volume of a sphere.

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A manuscript transcription of the Roman grammarian-philosopher Macrobius's commentary on Cicero's Dream, in which graph is used to illustrate the inclinations of the planetary orbits as a function of time, is located in the Bavarian State Library in Munich.

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The origins of analytic geometry are re-defined in terms of Egyptian, Greek, Babylonian, and Arabic influences.

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Renato Des Cartes was born, in a 31th of march.

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Several comentators have called November 11 as the birth of analytic geometry,

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The study of such curves was gaining in importance as a result of discoveries in physics and astronomy, particularly the discovery by the German scientistJohanes Kepler.

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Pierre de Fermant, another mathematician who delveloped analytic geometry along with Renato

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Marino Ghetaldi published De resolutione et compositione mathematica.

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Rene published "Discours de la Methode" with "La Geometrie" appended to it (Amsterdam, 1637).

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Franciscus van Schooten, a Dutch mathematician who help to popularize Renato's analytic geometry.

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The full development of the calculus would be achieved by Newton and German scientist Gottfried Wilhelm Leibniz

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The Swiss mathematician Johann Bernoulli published a problem in applied calculus as a challenge to other mathematicians. Challenge know as brachistochrone (upper image).

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Isaac Newton proposed his laws of motion and universal gravitation and developed the techniques of the calculus to apply them

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Leonhard Euler made important contribuitions to complex analysis.

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Eugenio Beltrani, contribuited to work in differential geometry on curves and surfaces.

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Felix Klein, a german mathematician known for his work with group theory, complex analysis and non-Euclidean geometry.

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The classical  scholar H. D. P. Lee carefully examined the connections between the mathematical  and philosophical  principles, he wrote his conclusions in a comment that is too long to write here.

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David Hildbert, a german mathematitian considered one of the most important mathematicians of the early twentieth century.

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Given the story that Descartes came up with the Cartesian plane while lying on his bed watching a fly on his ceiling, Schramn explicitly dismissed as irrelevant the question: if Descartes was fully aware of the coordinate principle.

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Olaf Pedersen gave an explanation of how  logistics was linked to the theory of functions during the Alexandrian era of Greek culture.