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The adjective Cartesian refers to the French mathematician and philosopher René Descartes, who published this idea in 1637 while he was resident in the Netherlands.It was independently discovered by Pierre de Fermat, who also worked in three dimensions, although Fermat did not publish the discovery. [1]
Descartes mourning his daughter. Francine Descartes (19 July 1635, Deventer – 7 September 1640, Amersfoort) was René Descartes's daughter.. Francine was the daughter of Helena Jans van der Strom, [1] a domestic servant of Thomas Sergeant — a bookshop owner and associate of Descartes at whose house in Amsterdam Descartes lodged on 15 October 1634.
By ordering the solids selectively—octahedron, icosahedron, dodecahedron, tetrahedron, cube—Kepler found that the spheres could be placed at intervals corresponding to the relative sizes of each planet's path, assuming the planets circle the Sun. Kepler also found a formula relating the size of each planet's orb to the length of its orbital ...
In Meditation Three, Descartes is going to establish not only that there is a God but that God is not a deceiver. When Descartes first introduces the evil demon he says, "I will suppose therefore that not God, who is supremely good and the source of truth, but rather some malicious demon, had employed his whole energies in deceiving me."
The Latin cogito, ergo sum, usually translated into English as "I think, therefore I am", [a] is the "first principle" of René Descartes's philosophy. He originally published it in French as je pense, donc je suis in his 1637 Discourse on the Method, so as to reach a wider audience than Latin would have allowed. [1]
Descartes's theorem on the "total defect" of a polyhedron states that if the polyhedron is homeomorphic to a sphere (i.e. topologically equivalent to a sphere, so that it may be deformed into a sphere by stretching without tearing), the "total defect", i.e. the sum of the defects of all of the vertices, is two full circles (or 720° or 4 π ...
In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.Here, continuous means that pairs of values can have arbitrarily small differences.