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	Astroid
		Astroid is defined as the trace of a point on a circle of radius r rolling inside a fixed circle of radius 4 r or 4/3 r.
		The pedal of a astroid with respect to its center is 4 petalled rose, called a quadrifolium.
		Astroid is the catacaustic of deltoid with parallel rays in any direction.
	xahlee.org /SpecialPlaneCurves_dir/Astroid_dir/astroid.html (715 words)

	Astroid
		The astroid was first discussed by Johann Bernoulli in 1691-92.
		The astroid only acquired its present name in 1836 in a book published in Vienna.
		The length of the astroid is 6a and its area is 3πa
	www-groups.dcs.st-and.ac.uk /~history/Curves/Astroid.html (198 words)

	astroid
		The astroid is the hypocycloid for which the rolled circle is four times as large as the rolling circle.
		The astroid is also the envelope of co-axial ellipses whoes sum of major and minor axes is constant.
		'Astroid' is an old word for 'asteroid', a celestial object in an orbit around the sun, intermediate in size between a meteoroid and a planet.
	www.2dcurves.com /roulette/roulettea.html (269 words)

	NationMaster - Encyclopedia: Astroid
		In mathematics, an astroid is a particular type of curve: a hypocycloid with four cusps.
		The evolute of an astroid is an astroid twice as large.
		Astroid is defined as the trace of a point on a circle of radius r rolling inside a fixed circle of radius 4 r or 4/3 r.
	www.nationmaster.com /encyclopedia/Astroid (931 words)

	astroid
		The astroid was first studied by the Danish astronomer Ole Römer in 1674, in his search for better shapes for gear teeth, and later by Johann Bernoulli (1691), Gottfried Leibniz (1715), and Jean d'Alembert (1748).
		It has a remarkable relationship with the quadrifolium: the radial, pedal, and orthoptic of the astroid are the quadrifolium, while the catacaustic (see caustic curve) of the quadrifolium is the astroid.
		The astroid is also the catacaustic of the deltoid and the evolute of the ellipse.
	www.daviddarling.info /encyclopedia/A/astroid.html (284 words)

	MySpace.com - astroid power-up! - woodland hills, CALIFORNIA - IDM / Progressive / Nu-Jazz - ...
		Deantoni Parks: drums Scott Bruzenak: sax, flute, sine programming
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		astroid power-up!, let us know when you need mastering.
	myspace.com /astroidpowerup (779 words)

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