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pencil of conics

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  • Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …   Wikipedia

  • Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …   Wikipedia

  • Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola …   Wikipedia

  • Apollonian circles — Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D, and every blue circle separates the two points. This article discusses a family of circles sharing a …   Wikipedia

  • Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …   Wikipedia

  • Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

  • Blaise Pascal — Infobox Philosopher region = Western Philosophy era = 17th century philosophy color = #B0C4DE image caption = Blaise Pascal name = Blaise Pascal birth = birth date|1623|6|19|mf=y death = death date and age|1662|8|19|1623|6|19|mf=y school… …   Wikipedia

  • Jakob Steiner — Infobox Scientist name = box width = image width =150px caption = birth date = 18 March , 1796 birth place = Utzenstorf, Canton of Bern death date = April 1, 1863 death place = Bern residence = citizenship = Swiss nationality = ethnicity = field …   Wikipedia

  • Porism — The subject of porisms is perplexed by the multitude of different views which have been held by geometers as to what a porism really was and is.The treatise which has given rise to the controversies on this subject is the Porisms of Euclid, the… …   Wikipedia

  • History of mathematics — A proof from Euclid s Elements, widely considered the most influential textbook of all time.[1] …   Wikipedia

  • Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …   Wikipedia

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