homothetic ratio

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• Homothetic transformation — In mathematics, a homothety (or homothecy or dilation) is a transformation of space which takes each line into a parallel line (in essence, a similarity that is similarly arranged). All dilatations form a group in either affine or Euclidean… …   Wikipedia

• homothetic — adjective a) of a function of two or more variables in which the ratio of the partial derivatives depends only on the ratio of the variables, not their value b) in which the ratio of goods demanded depends only on the ratio of their prices See… …   Wiktionary

• 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

• Production function — Graph of Total, Average, and Marginal Product In microeconomics and macroeconomics, a production function is a function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs. This function is an… …   Wikipedia

• Orthocentric system — Orthocentric system. Notice any point is the orthocenter of the triangle formed by the other three. In geometry, an orthocentric system is a set of four points in the plane one of which is the orthocenter of the triangle formed by the other three …   Wikipedia

• Morley's trisector theorem — In plane geometry, Morley s trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the Morley triangle. The theorem was discovered in 1899 by Anglo… …   Wikipedia

• List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

• Proportionality (mathematics) — This article is about proportionality, the mathematical relation. For other uses of the term, see Proportionality (disambiguation). y is directly proportional to x. In mathematics, two variable quantities are proportional… …   Wikipedia

• Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia

• Inversive geometry — Not to be confused with Inversive ring geometry. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion. These… …   Wikipedia

• Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… …   Wikipedia