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Cartesian circle. The Cartesian circle (also known as Arnauld 's circle [1]) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perception, which is itself guaranteed by God.
Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences ( French: Discours de la Méthode pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical treatise published by René Descartes in 1637. It is best known as the source of the famous quotation ...
The folium of Descartes is related to the trisectrix of Maclaurin by affine transformation. To see this, start with the equation. and change variables to find the equation in a coordinate system rotated 45 degrees. This amounts to setting In the plane the equation is. If we stretch the curve in the direction by a factor of this becomes.
In mathematics, a trident curve (also trident of Newton or parabola of Descartes) is any member of the family of curves that have the formula : Trident curves are cubic plane curves with an ordinary double point in the real projective plane at x = 0, y = 1, z = 0; if we substitute x = xz and y = 1 z into the equation of the trident curve, we get.
The Descartes Prize was an annual award in science given by the European Union, named in honour of the French mathematician and philosopher, René Descartes . The prizes recognized Outstanding Scientific and Technological Achievements Resulting from European Collaborative Research. The research prize was first awarded in 2000 and was ...
27 October 2008. ( 2008-10-27) The Story of Maths is a four-part British television series outlining aspects of the history of mathematics. It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four. The material was written and presented by University of Oxford professor Marcus du Sautoy. [1]
Descartes (French pronunciation: ⓘ) is a large village and commune in the Indre-et-Loire department in central France.It is approximately 29 kilometers east of Richelieu and about 48 kilometers east of Loudun, on the banks of the Creuse River, near the border of the French department of Vienne, and the border of the region between Centre-Val de Loire and Nouvelle-Aquitaine.
The dilogarithm along the real axis. In mathematics, the dilogarithm (or Spence's function ), denoted as Li2(z), is a particular case of the polylogarithm. Two related special functions are referred to as Spence's function, the dilogarithm itself: and its reflection. For |z| < 1, an infinite series also applies (the integral definition ...