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Topic: Hyperbola

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Conic section

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	Hyperbola
		Hyperbola is commonly defined as the locus of points P such that the difference of the distances from P to two fixed points F1, F2 (called foci) are constant.
		The vertexes are the intersections of the hyperbola and its axis.
		A rectangular hyperbola is a hyperbola with eccentricity Sqrt[2]≈1.4142.
	www.xahlee.org /SpecialPlaneCurves_dir/Hyperbola_dir/hyperbola.html (478 words)

	Hyperbola - LoveToKnow 1911
		The hyperbola which has for its transverse and conjugate axes the transverse and conjugate axes of another hyperbola is said to be the conjugate hyperbola.
		In the rectangular hyperbola a =b; hence its equation is x 2 - y 2 = O. The equations to the asymptotes are = t y/b and x = =y respectively.
		Referred to the asymptotes as axes the general equation becomes xy 2 obviously the axes are oblique in the general hyperbola and rectangular in the rectangular hyperbola.
	www.1911encyclopedia.org /Hyperbola (743 words)

	Hyperbola
		The vertexes are the intersections of the hyperbola and its axis.
		A rectangular hyperbola is a hyperbola with eccentricity Sqrt[2]≈1.4142.
		The pedal of a rectangular hyperbola with respect to its center is a lemniscate of Bernoulli.
	xahlee.org /SpecialPlaneCurves_dir/Hyperbola_dir/hyperbola.html (478 words)

	Equation of Hyperbola - Applet
		The equation and properties of a hyperbola are explored interactively using an applet.
		Rewrite the equation of the hyperbola so that the term in y is to the left and all other terms to the right.
		When graphing hyperbolas, it is easier to draw a rectangle (shown in red) of length 2a (length of the transverse axis) and width 2b (length of the conjugate axis) and the asymptotes are the extensions of the diagonals of the rectangles as shown in the main panel of the applet.
	www.analyzemath.com /EquationHyperbola/EquationHyperbola.html (574 words)

	Hyperbola
		Moreover, as the sketch indicates, the angle between FP and the normal to the hyperbola is equal to the angle between the normal and F'P, so a ray from F is reflected by the hyperbola so that it appears to be coming from the other focus.
		The ratio c/a is the eccentricity of the hyperbola, and is > 1.
		Hyperbolas are not used in surveying for transition curves between two tangents, that might be considered as asymptotes, because they have no definite start or end, and are difficult to compute and lay out.
	mysite.du.edu /~jcalvert/math/hyperb.htm (3440 words)

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