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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.
Cubic. Snark. Table of graphs and parameters. In the mathematical field of graph theory, a Descartes snark is an undirected graph with 210 vertices and 315 edges. It is a snark, first discovered by William Tutte in 1948 under the pseudonym Blanche Descartes. [1]
The Descartes-Huygens Prize is an yearly scientific prize created in 1995 by the French and the Dutch governments, and attributed to two scientists of international level, a French one chosen by the Koninklijke Nederlandse Akademie van Wetenschappen and a Dutch one chosen by the Académie des sciences, to reward their work and their contributions to the French-Dutch cooperation.
En Route is the fourth full-length album released by German electronic music duo of Dieter Moebius and Conny Plank. It was actually the fifth and final album recorded before Plank's death in 1987. En Route was recorded in 1986 at Conny's Studio outside of Cologne. As Plank's health deteriorated the recordings were left incomplete.
Dioptrique. La dioptrique (in English Dioptrique, Optics, or Dioptrics) is a short treatise by René Descartes. It was published in 1637 included in one of the Essays written with Discourse on the Method. In this essay Descartes uses various models to understand the properties of light. This essay is known as Descartes' greatest contribution to ...
Descartes's theorem. 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 radians).
Descartes' rule of signs. In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's ...
Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra.Central to the book is the disputed priority for Euler's polyhedral formula between Leonhard Euler, who published an explicit version of the formula, and Descartes, whose De solidorum elementis includes a result from which the formula is ...