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	Conchoid (mathematics) - Wikipedia, the free encyclopedia
		All conchoids are cissoids with a circle centered on O as one of the curves.
		A limaçon is a conchoid with a circle as the given curve.
		The often-so-called conchoid of de Sluze and conchoid of Dürer do not fit this definition; the former is a strict cissoid and the latter a construction more general yet.
	en.wikipedia.org /wiki/Conchoid_(mathematics) (170 words)

	Conchoid
		His main invention was the conchoid ascribed to him by Pappus.
		The conchoid was used in the construction of ancient buildings.
		The vertical section of columns was made in the shape of the loop of the conchoid.
	www-groups.dcs.st-and.ac.uk /~history/Curves/Conchoid.html (168 words)

	Xah: Special Plane Curves: Conchoid
		Conchoid is a way of deriving a new curve based on a given curve, a fixed point, and a positive constant k.
		conchoid of a circle (XahNote: proof or disproof that certain conchoid* of circle is a Cartesian oval or cassinian oval.*)
		The conchoid of a lemniscate with respect to its center, the fixed distance between equal to the distance from the center to the furthest point of the curve.
	xahlee.org /SpecialPlaneCurves_dir/Conchoid_dir/conchoid.html (559 words)

	Conchoid - LoveToKnow 1911
		The conchoid has been employed by later mathematicians, notably Sir Isaac Newton, in the construction of various cubic curves.
		The conchoid is generated as follows: - Let 0 be a fixed point and B C a fixed straight line; draw any line through 0 intersecting B C in P and take on the line PO two points X, X', such that PX= PX' = a constant quantity.
		Then the locus of X and X' is the conchoid.
	www.1911encyclopedia.org /Conchoid (772 words)

	conchoid (Site not responding. Last check: 2007-11-01)
		Further, the conchoid has been used in the construction of buildings, as the shape of the vertical section of columns.
		The conchoid has been generalized by substituting the line l by a arbitrary curve C: the general conchoid.
		The conchoid can also be seen as a specimen of a generalized cissoid.
	www.2dcurves.com /quartic/quarticco.html (318 words)

	The Conchoid Family of Curves - National Curve Bank (Site not responding. Last check: 2007-11-01)
		The Conchoid family of curves is easily entered and modified on a graphing calculator.
		and of course, the oldest, the Conchoid of Nicomedes.
		However, his Conchoid of Nicomedes was accurate and an indication of the enduring fame of this popular curve.
	curvebank.calstatela.edu /conchoid/conchoid.htm (481 words)

	3D Visualization: Conchoid of Nicomedes in 3D: New Applications for a Classic Curve (Site not responding. Last check: 2007-11-01)
		Nicomedes (circa 280 BCE - 210 BCE) is best known for his treatise on conchoids, a family of curves of one parameter.
		This is accomplished by arranging the array support bearings in the shape of the conchoid of Nicomedes.
		The reason that the Conchoid of Nicomedes is useful for modeling this system is that the intensity of the secondary radiation falls off in direct proportion to the distance that it traverses while in the shield.
	nvizx.typepad.com /nvizx_weblog/2005/08/conchoid_of_nic.html (841 words)

	Conchoid - Wikipedia, the free encyclopedia
		Conchoid curve, an equation discovered by the Greek mathematician Nicomedes
		Conchoidal fracture, a breakage pattern characteristic to certain minerals and glasses.
		This is a disambiguation page: a list of articles associated with the same title.
	en.wikipedia.org /wiki/Conchoid (90 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		Conchoids The idea of a conchoid is to start with some curve rold(t) = (x(t),y(t)) We think of r(t) as a radius vector from the origin.
		The new curve is formed by increasing the length of the vector r(t) by a fixed amount, say 1.
		The example below shows how to construct the conchoid based on the curve > x := 2+t; y := -2t; a := -3; b := 3; > radius := sqrt(x^2+y^2); > plot({[x,y,t=a..b], [x(1+1/radius),y*(1+1/radius),t=a..b] },scaling=constrained); On speed Here are some commands that are pertinent to speed.
	www.stolaf.edu /people/zorn/ozcalc/curveoperations.txt (337 words)

	[No title]
		The conchoid is generated as follows: Let 0 be a fixed point and BC a fixed straight line; draw any line through 0 intersecting BC in P and take on the line PO two points X, X', such that PX = PX' = a constant quantity.
		The conchoid is also the locus of any point on a rod which i A, is constrained to move so that it and C always passes through a fixed point, while a fixed point on the rod travels along a straight line.
		To obtain the equation to the curve, draw AO perpendicular to BC, and let A0=a; let the constant quantity PX = PX' = b.
	encyclopedia.jrank.org /correction/edit?locale=en&content_id=17080 (317 words)

	CONCHOID (Gr. «oyXn, s... - Online Information article about CONCHOID (Gr. «oyXn, s...
		The conchoid is generated as follows: Let 0 be a fixed point and BC a fixed straight See also:
		locus of X and X' is the conchoid.
		The conchoid is also the locus of any point on a See also:
	encyclopedia.jrank.org /COM_COR/CONCHOID_Gr_oyXn_shell_and_etho.html (626 words)

	(generalized) conchoid (Site not responding. Last check: 2007-11-01)
		in Q. Then the conchoid is defined as the collection of points P (on l) for which PQ is equal to a constant a.
		This conchoid is a generalization of the 1st curve that was named as a conchoid, the (simple) conchoid that is derived from the straight line.
		The conchoid of Dürer does not belong to this family, it is another variation on the conchoid.
	www.2dcurves.com /derived/conchoid.html (94 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		The conchoid is more properly the conchoid of a straight line, since more generally the conchoid of any curve can be defined.
		To plot try cissoidimplicit[1][{0,1}]." conchoidimplicit::usage="conchoidimplicit[a,b][x,y]==0 is the nonparametric form of a conchoid of Nicodemes.
		The locus of points {x,y} whose distance from {q,0} is a and lie on the line through {q,0} and {r,0} constitute Duerer's conchoid.
	www.math.umd.edu /research/bianchi/CandS/CURVES.m (5260 words)

	Conchoid of a circle
		Here is the definition of conchoid of a curve.
		The points A and B that trace out the conchoid are on the line OQ p(y - a) = x(q - a)
		Here are some screenshots of the conchoid for different positions of the fixed point O. a
	www.geocities.com /CapeCanaveral/Hall/3131/conchoidcircle.html (232 words)

	8.1 Algebraic Curves
		A conchoid of Nichomedes is the set of points such that the signed distance AP in Figure 5, left, equals a fixed real number k (the line L and the origin O being fixed).
		Once more, a is a scaling parameter, and the value of k/a controls the shape: when k>-a the curve is smooth, when k=-a there is a cusp, and when k<-a there is a self-intersection.
		A limaçon of Pascal is the set of points such that the distance AP in Figure 6, left, equals a fixed positive number k measured on either side (the circle C and the origin O being fixed).
	www.geom.uiuc.edu /docs/reference/CRC-formulas/node33.html (846 words)

	Enhanced_Traps_ Tutorial Page 10 (Site not responding. Last check: 2007-11-01)
		The default is 0.2 and the typical use range is 0.1 - 10.
		The default is 1.0 and the typical use range is 0 - 1.5.
		The following images are examples of the use of two layers.
	www.hiddendimension.com /Enhanced_Traps_Tutorial_10.html (219 words)

	Middle East Open Encyclopedia: Conchoid (Site not responding. Last check: 2007-11-01)
		This is an extract from The Middle East Open Encyclopedia, made possible through the Wikimedia Foundation.
		Iraq Museum International always displays the most recent published revision of the source article, Conchoid; all previous versions may be viewed here.
		They link directly to authoring tools for you to start writing a particular article.
	www.baghdadmuseum.org /ref/?title=Conchoid (214 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-01)
		Trisecting an Angle Using the Conchoid of Nicomedes
		I want to know if it possible that I could have trisected it using the conchoid.
		Andrews University:: Trisecting an angle And see this on the conchoid: Conchoid of Nicomedes - Xah Lee If you have any further questions, feel free to write back.
	mathforum.org /library/drmath/view/61131.html (190 words)

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