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De Arte Combinatoria. Frontispiece of the book printed in 1690. The Dissertatio de arte combinatoria ("Dissertation on the Art of Combinations" or "On the Combinatorial Art") is an early work by Gottfried Leibniz published in 1666 in Leipzig. [1] It is an extended version of his first doctoral dissertation, [2] written before the author had ...
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 ...
In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.
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 ...
Descartes was the lead ship of the Descartes class of protected cruisers built for the French Navy in the 1890s. The Descartes -class cruisers were ordered as part of a construction program directed at strengthening the fleet's cruiser force. At the time, France was concerned with the growing naval threat of the Italian and German fleets, and ...
In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces . It can be named by its Schläfli symbol {4,3 5 }, being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a portmanteau of tesseract ...
Cartesian Self. In philosophy, the Cartesian Self, or Cartesian subject, a concept developed by the philosopher René Descartes within his system of mind–body dualism, is the term provided [citation needed] for a separation between mind and body as posited by Descartes. In the simple view the self can be viewed as just the mind which is ...
The book consists of twelve chapters that begin with a discussion on the theories of aether in the 17th century, focusing heavily on René Descartes, and end with a discussion of electronics and the theories of aether at the close of the 19th century, extensively covering contributions from Isaac Newton, René Descartes, Michael Faraday, James ...