spiric curve

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• Spiric section — A spiric section is a special case of a toric section, which is the intersection of a plane with a torus (σπειρα in ancient Greek). Spiric sections are toric sections in which the intersecting plane is parallel to the rotational symmetry axis of… …   Wikipedia

• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• spiric — spīrˈic adjective Like a tore or anchor ring noun A curve, the plane section of a tore • • • Main Entry: ↑spire …   Useful english dictionary

• Quartic plane curve — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… …   Wikipedia

• Hippopede — In geometry, a hippopede (from ἱπποπέδη meaning horse fetter in ancient Greek) is a plane curve determined by an equation of the form (x2 + y2)2 = cx2 + dy2, where it is assumed that c>0 and c>d since the remaining cases either reduce to a… …   Wikipedia

• Perseus (geometer) — Perseus (c. 150 BC) was an ancient Greek geometer, who invented the concept of spiric sections, in analogy to the conic sections studied by Apollonius of Perga. Few details of Perseus life are known, as he is mentioned only by Proclus and… …   Wikipedia

• Cassini oval — Some Cassini ovals. (b=0.6a, 0.8a, a, 1.2a, 1.4a, 1.6a) A Cassini oval is a plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points …   Wikipedia

• List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

• Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th …   Wikipedia

• Toric section — A toric section is an intersection of a plane with a torus, just as a conic section is the intersection of a plane with a cone. Mathematical formulaeIn general, toric sections are fourth order (quartic) plane curvesof the form:left( x^{2} + y^{2} …   Wikipedia