Conic Sections Hyperbolas
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Asymptotes of a Hyperbola
Illustration showing the asymptotes of a hyperbola. The asymptotes will never meet the curve....
Auxiliary Circle and Hyperbola
Illustration of a hyperbola and its auxiliary circle. "Any ordinate of a hyperbola is to the tangent from its foot to the auxiliary circle as b is to a."...
Conic Axes
Conjugate diameters perpendicular to each other are called, axes, and the points where they cut the curve vertices of the conic....
Conic Section Showing A Hyperbola
Illustration showing the definition of an hyperbola as a conic section. A hyperbola is formed from a double right circular cone with a plane parallel to the axis cutting through the cones....
Conic Section Showing an Hyperbola
Illustration showing the definition of an hyperbola as a conic section. "The section of a right circular cone made by a plane that cuts both nappes of the cone is a hyperbola." A double right circula...
Conic Section Showing Hyperbola
Illustration showing the definition of a hyperbola as a conic section. ...
Conjugate Axis of a Hyperbola
Illustration showing how the a hyperbola is symmetrical with respect to its conjugate axis....
Construction of Hyperbola
Illustration showing how a hyperbola con be constructed by points, having been given the foci and the constant difference 2a....
Demonstration of Hyperbola Definition
Illustration showing the definition of an hyperbola. "An hyperbola may be described by the continuous motion of a point, as follows: To one of the foci F' fasten one end of a rigid bar F'B so that i...
Foci Distance of Hyperbola
Illustration of a hyperbola with distances to foci drawn. "The difference of the distances of any point from the foci of an hyperbola is greater than or less than 2a, according as the point is on the...
Hyperbola
One of the three species of conic sections is the hyperbola....
Hyperbola Conjugate Diameters
Any two conjugate diameters of an hyperbola are harmonic conjugates with regard to the asymptotes....
Hyperbola Tangent Triangles
All triangles formed by a tangent and the asymptotes of an hyperbola are equal in area....
Line Bisecting Angle Between Focal Radii in Hyperbola
Illustration of a hyperbola with a line bisecting the focal radii. "If through a point P of an hyperbola a line is drawn bisecting the angle between the focal radii, every point in this line except P...
Point on a Hyperbola
Illustration of a point on a hyperbola. "If d denotes the abscissa (x-coordinate) of a point of an hyperbola, r and r' its focal radii, then r = ed - a, and r' = ed + a."...
Tangent to Hyperbola
Illustration showing how to draw a tangent to an hyperbola from a given point P on the convex side of the hyperbola....
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Clipart ETC is a part of the Educational Technology Clearinghouse and is funded by a grant from the Florida Department of Education, Office of Educational Technology. Produced by the Florida Center for Instructional Technology, College of Education, University of South Florida. Last update: 03/26/2007. Email the project manager.