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infinitesimal circle

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  • Great circle — For fictional interstellar organization called Great Circle, see Andromeda (novel). A great circle divides the sphere in two equal hemispheres A great circle, also known as a Riemannian circle, of a sphere is the intersection of the sphere and a… …   Wikipedia

  • Osculating circle — Kissing circles redirects here. For Descartes theorem on mutually tangent (kissing) circles, see Descartes theorem. An osculating circle In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given… …   Wikipedia

  • Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

  • Tissot's Indicatrix — Tissot’s indicatrix, or ellipse of distortion, is a concept developed by French mathematician Nicolas Auguste Tissot, in 1859 and 1871, to measure and illustrate distortions due to map projection. It is the theoretical figure that results from… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Cavalieri's principle — Two stacks of coins with the same volume In geometry, Cavalieri s principle, sometimes called the method of indivisibles, named after Bonaventura Cavalieri, is as follows:[1] 2 dimensional case: Suppose two regions in a plane are included between …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Lie group — Lie groups …   Wikipedia

  • The Method of Mechanical Theorems — is a work by Archimedes which contains the first attested explicit use of infinitesimals.[1] The work was originally thought to be lost, but was rediscovered in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes account of… …   Wikipedia

  • Scale (map) — The scale of a map is defined as the ratio of a distance on the map to the corresponding distance on the ground. If the region of the map is small enough for the curvature of the Earth to be neglected, then the scale may be taken as a constant… …   Wikipedia

  • geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

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