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René Descartes was born into a well-educated upper-class family on March 31, 1596 in the French village of La Haye en Touraine. The village is now called Descartes, Indre-et-Loire in his honor.

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René Descartes was born into a well-educated upper-class family on March 31, 1596 in the French village of La Haye en Touraine. The village is now called Descartes, Indre-et-Loire in his honor.

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https://www.famousscientists.org/rene-descartes/
where he grew up and how he was raised

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 Descartes showed that he could solve previously unsolvable problems in geometry by converting them into simpler problems in algebra. He represented the horizontal direction as x and the vertical direction as y. This concept is now indispensable in mathematics and most other sciences.

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 Descartes showed that he could solve previously unsolvable problems in geometry by converting them into simpler problems in algebra. He represented the horizontal direction as x and the vertical direction as y. This concept is now indispensable in mathematics and most other sciences.

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https://www.famousscientists.org/rene-descartes/
explaining how he proved his theory and made math easier

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In 1639 Descartes began writing the Meditations. And, in 1640 he returned to Leiden to help work out its publication.

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In 1639 Descartes began writing the Meditations. And, in 1640 he returned to Leiden to help work out its publication.

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https://plato.stanford.edu/entries/descartes-works/

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He is also famous for having promoted a new conception of matter, which allowed for the accounting of physical phenomena by way of mechanical explanations. However, he is most famous for having written a relatively short work, Meditationes de Prima Philosophia (Meditations On First Philosophy), published in 1641, in which he provides a philosophical groundwork for the possibility of the sciences.

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He is also famous for having promoted a new conception of matter, which allowed for the accounting of physical phenomena by way of mechanical explanations. However, he is most famous for having written a relatively short work, Meditationes de Prima Philosophia (Meditations On First Philosophy), published in 1641, in which he provides a philosophical groundwork for the possibility of the sciences.

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https://plato.stanford.edu/entries/descartes-works/
about his book that he wrote on his theory

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Descartes has been heralded as the first modern philosopher. He is famous for having made an important connection between geometry and algebra, which allowed for the solving of geometrical problems by way of algebraic equations.

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Descartes has been heralded as the first modern philosopher. He is famous for having made an important connection between geometry and algebra, which allowed for the solving of geometrical problems by way of algebraic equations.

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https://plato.stanford.edu/entries/descartes-works/
what he was famous for

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One of Descartes' most enduring legacies was his development of Cartesian or analytic geometry, which uses algebra to describe geometry. He "invented the convention of representing unknowns in equations by x, y, and z, and knowns by a, b, and c".

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One of Descartes' most enduring legacies was his development of Cartesian or analytic geometry, which uses algebra to describe geometry. He "invented the convention of representing unknowns in equations by x, y, and z, and knowns by a, b, and c".

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https://en.wikipedia.org/wiki/Ren%C3%A9_Descartes
his theory

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René Descartes was a French philosopher, mathematician, and scientist. Dubbed the father of modern western philosophy, much of subsequent Western philosophy is a response to his writings, which are studied closely to this day. WikipediaBorn: March 31, 1596, Descartes, Indre-et-Loire, FranceDied: February 11, 1650, Stockholm, SwedenInfluenced: Isaac Newton, John Locke, Baruch Spinoza, MOREEducation: University of Poitiers (1614–1616), Leiden University, Prytanée National Militaire

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René Descartes was a French philosopher, mathematician, and scientist. Dubbed the father of modern western philosophy, much of subsequent Western philosophy is a response to his writings, which are studied closely to this day. WikipediaBorn: March 31, 1596, Descartes, Indre-et-Loire, FranceDied: February 11, 1650, Stockholm, SwedenInfluenced: Isaac Newton, John Locke, Baruch Spinoza, MOREEducation: University of Poitiers (1614–1616), Leiden University, Prytanée National Militaire

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Who René Descartes was and his background and who inspired him to do the work that he did
https://www.google.com/search?q=Ren%C3%A9+Descartes&ei=_eFUWvOnBsOijwSc5Z34Cg&start=0&sa=N&biw=1366&bih=619

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In 1637, the French philosopher and mathematician René Descartes (1596–1650) published his Discours de la methodé (see the title page) in which he explained his rationalist approach to the interpretation of nature. La methodé contained three appendices: La dioptrique, Les météories, and La géométrie. The last of these, The Geometry, was Descartes’ only published mathematical work.

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In 1637, the French philosopher and mathematician René Descartes (1596–1650) published his Discours de la methodé (see the title page) in which he explained his rationalist approach to the interpretation of nature. La methodé contained three appendices: La dioptrique, Les météories, and La géométrie. The last of these, The Geometry, was Descartes’ only published mathematical work.

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https://www.maa.org/publications/periodicals/convergence/the-geometry-of-rene-descartes
the book that he published which explains all that his theory consisted of.

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In mathematics, his contribution lies chiefly in geometry that’s why today he is known as father of analytical geometry. His main achievement was to bridge the gulf between algebra and geometry. 

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In mathematics, his contribution lies chiefly in geometry that’s why today he is known as father of analytical geometry. His main achievement was to bridge the gulf between algebra and geometry. 

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http://www.famous-mathematicians.com/rene-descartes/
explaining his reputation and how he got the name father of analytical geometry

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With regard to algebra, he explained in detail that how algebric equations can be expressed and explained through use of geometrical shapes.

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With regard to algebra, he explained in detail that how algebric equations can be expressed and explained through use of geometrical shapes.

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http://www.famous-mathematicians.com/rene-descartes/
what his theory consisted of