Rene Descartes-Algebra II project

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Algebra I

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Rene Descartes-Algebra II project

René Descartes was born on the 31st of March 1596. He was born in the town of La Haye, in France, to parents Joachim and Jeanne Descartes. The subjects he studied, such as rhetoric and logic and the “mathematical arts,” which included music and astronomy, as well as metaphysics, natural philosophy and ethics, equipped him well for his future as a philosopher. On February 11, 1650. The fragile health indicated in his early life persisted, he was 53.


Descartes' breakthrough was in taking a second number line, standing it up on its end, and crossing the first number line at zero. The number lines, when drawn like this, are called axes. The horizontal number line is called the x-axis the vertical number line is the y-axis. The arrows at the ends of the axes indicate the direction in which the numbers are getting largerThe logarithmic, or equiangular, spiral was first studied by René Descartes in 1638. In modern notation the equation of the spiral is r = aeθ cot b, in which r is the radius of each turn of the spiral, a and b are constants that depend on the particular spiral, θ is the angle of rotation as the curve spirals, and e is the base of the natural logarithm.The aspect of a rainbow. The angle at which light passes through the edge of a rainbow at its center – or its “angular radius” – is exactly 42 degrees

Lasting Impact

His discoveries are still well used today all around the world by many mathematicians.


Rodis-Lewis, Geneviève, "Descartes' life and the development of his philosophy", in The Cambridge Companion to Descartes, ed. John Cottingham (Cambridge: Cambridge University Press, 1992), p. 21-58.

Rene Descartes



"Divide each difficulty into as many parts as is feasible and necessary to resolve it."

"I think, therefore I am"

"If you would be a real seeker after truth, it is necessary that at least once in your life you doubt, as far as possible, all things. "




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