Rene Descartes Essay

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Rene Descartes

Rene Descartes was a math philosopher, he was born in Toures, on March 31
1596, and he died at Stockholm on February 11 1650. His father was forced to spend half the year at Rennes, where he was a councilman. The rest of the time he spent with his family of Les Cartes at La Haye. Rene was the second child out of four kids. At the age of eight, he was sent to the Jesuit School at La Fleche. The school had very good education and discipline. On account of his delicate health, he was permitted to lie in bed until late in the mornings. In 1647, he visited Pascal, he told himself that the only way to do good work in math, and to keep his health was to never allow anyone to make him get up in the morning before he felt
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The values of "x" and "y" determined the co-coordinates of a number of points which forms a curve, of which the equation "f(x,y)=0" has a geometrical property.

Rene said that a point in a space could be determined by three co-coordinates. Rene pointed out the very important facts that two or more curves can be referred to one and the same system of co-coordinates, and that the points in which two curves intersect can be determined by finding the roots common to their equations. Rene wrote three Geometric books. The first two are about analytical geometry, and the third is an analysis of algebra that was current then. Rene also paid particular attention to the theory of tangents to curves. Back then the current definition of a tangent at a point was a straight line through the point such that between it and the curve no other straight line could be drawn, that is the straight line of closet contact.

Rene described his theory by giving the general rule for drawing tangents and normals to a roulette. The method that Rene used to find the tangent or normal at any point of a given curve was he determined the center and radius of a circle, which should cut the curve in two consecutive points. The tangent to the circle at that point will be the required tangent to the curve.

In modern text books it is

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