FACTOID # 18: Alaska spends more money per capita on elementary and secondary education than any other state.

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Encyclopedia > Focus (geometry)

In geometry, the focus (pl. foci) is a special point used in describing conic sections. Geometry (Greek Î³ÎµÏ‰Î¼ÎµÏ„ÏÎ¯Î±; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... In mathematics, a conic section (or just conic) is a curved locus of points, fby intersecting a cone with a plane. ...

A conic section can be defined as the set of points whose distance to its focus is equal to the eccentricity times the distance to the corresponding directrix. Even in the case of two foci, the described set, applied on a single focus-directrix combination, is the whole conic section. (This page refers to eccitricity in mathematics. ... In mathematics, a conic section (or just conic) is a curved locus of points, formed by intersecting a cone with a plane. ...

Note that (non-circular) ellipses and hyperbolas each have a pair of foci. An ellipse can be described as the set of points for which the sum of the distances to the foci is constant, while a hyperbola is the set of points for which the absolute value of the difference of the distances to the foci is constant. In mathematics, an ellipse (from the Greek for absence) is a plane algebraic curve where the sum of the distances from any point on the curve to two fixed points is constant. ... A graph of a hyperbola, where h = k = 0 and a = b = 2. ... A graph of a hyperbola, where h = k = 0 and a = b = 2. ...

In the gravitational two-body problem, the orbits of the two bodies are described by conic sections with foci at the center of mass. Gravitation is the tendency of massive objects to accelerate towards each other. ... In mechanics, the two-body problem is a special case of the n-body problem that admits a closed form solution. ... It has been suggested that this article or section be merged with Center of gravity. ...

Results from FactBites:

 PCTM Position Paper: Geometry for All (3228 words) The focus of these strands throughout the grade-levels is to develop the learners thinking abilities, use the structure and nature of the geometric concepts, to analyze and solve problems that arise in their everyday activities. Geometry is the branch of mathematics that studies visual patterns. In most school geometry programs, the van Hiele model is contradicted by the traditional reality in that geometry is viewed as a high school course where most students are exposed to a formal, abstract level with little to no regard for their appropriate conceptual readiness.
 About Sacred Geometry (3800 words) Geometry is the very basis of our reality, and hence we live in a coherent world governed by unseen laws. The understanding of geometry as an underlying part of our existence is nothing new and in fact, the Golden Mean and other forms of geometry can be seen imbedded in many of the ancient monuments that still exist today. Geometry of seven interconnected circles, the Seed of Life is considered to be the basic unit of information necessary for the formation of all material substance.
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