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Home > Art, Film & Photography > Conic Sections: Ellipse, Circle, Parabola, Hyperbola, Discriminant, Conic Section, Five Points Determine a Conic, Degenerate Conic
Conic Sections: Ellipse, Circle, Parabola, Hyperbola, Discriminant, Conic Section, Five Points Determine a Conic, Degenerate Conic

Conic Sections: Ellipse, Circle, Parabola, Hyperbola, Discriminant, Conic Section, Five Points Determine a Conic, Degenerate Conic


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 59. Chapters: Ellipse, Circle, Parabola, Hyperbola, Discriminant, Conic section, Five points determine a conic, Degenerate conic, Lambert's problem, Angular eccentricity, Pascal's theorem, Semi-major axis, Dandelin spheres, Distance of closest approach of ellipses and ellipsoids, Matrix representation of conic sections, Focus, Tangent half-angle formula, Circumconic and inconic, Marden's theorem, Poncelet's porism, Trammel of Archimedes, Semi-minor axis, Steiner inellipse, Proofs involving the ellipse, Universal parabolic constant, Brianchon's theorem, Braikenridge-Maclaurin theorem, Conic constant, Fermat-Apollonius circle, Parabola of safety, Director circle. Excerpt: In mathematics a hyperbola is a curve, specifically a smooth curve that lies in a plane, which can be defined either by its geometric properties or by the kinds of equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, which are mirror images of each other and resembling two infinite bows. The hyperbola is one of the four kinds of conic section, formed by the intersection of a plane and a cone. The other conic sections are the parabola, the ellipse, and the circle (the circle is a special case of the ellipse). Which conic section is formed depends on the angle the plane makes with the axis of the cone, compared with the angle a line on the surface of the cone makes with the axis of the cone. If the angle between the plane and the axis is less than the angle between the line on the cone and the axis, or if the plane is parallel to the axis, then the conic is a hyperbola. Hyperbolas arise in practice in many ways: as the curve representing the function in the Cartesian plane, as the appearance of a circle viewed from within it, as the path followed by the shadow of the tip of a sundial, as the shape of an ope...


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Product Details
  • ISBN-13: 9781155341644
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 60
  • Spine Width: 3 mm
  • Weight: 127 gr
  • ISBN-10: 1155341643
  • Publisher Date: 04 Sep 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Ellipse, Circle, Parabola, Hyperbola, Discriminant, Conic Section, Five Points Determine a Conic, Degenerate Conic
  • Width: 189 mm


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