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Johannes Kepler developed the idea that the universe is governed by geometric relationships from inscribed and circumscribed circles of five polygons.
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Rene Descarte provided the first printed account of what is now called analytic or coordinated geometry.
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Bonaventura Cavaleiri calculates volumes using infinitely small sections.
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Blaise Pascal began working on the sine function and almost discovers calculus.
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Isaac Newton retires to the countryside and it is there that he invents calculus.
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James Gregory includes a geometrical version of the fundamental theorem of calculus.
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Isaav Barrow uses methods similar to calculus to draw tangents to curves and the areas bounded by curves.
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Gottfried Leibniz introduces the modern notation for integration and the notation of differentiation.
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Jean Bernoulli discovers the method known as l'Hospital's Rule.
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Brook Taylor introduces his famous series in his book, in which he develops the calculus of finite differences.