
	Where results make sense

Topic: Tangent plane

Related Topics

Parabola

Trajectory

Hyperbolic function

Catenary

Air resistance

Parabola

In the News (Mon 16 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	PlanetMath: tangent plane (elementary)
		Just as the tangent line is a special line which is associated to a point of a smooth curve, so too a tangent plane is a special plane which is associated to a point on a smooth surface.
		Hence the parametric equations of the tangent plane are
		Just as the tangent to a line may be understood as the limit of a line connecting two nearby points in the limit where the points coalesce, so too the tangent plane can be regarded as a limit.
	planetmath.org /encyclopedia/TangentPlane.html (1875 words)

	SURFACE - LoveToKnow Article on SURFACE (Site not responding. Last check: 2007-10-09)
		The cone is a figure correlative to the plane curve: corresponding to the plane of the curve we have the vertex of the cone, to its tangents the generating lines of the cone, and to its points the tangent planes of the cone.
		A plane may meet the surface in a curve having (I) a cusp (spinode) or (2) a pair of double points; in each case there is a singly infinite system of such singular tangent planes, and the locus of the points of contact is the curve, the envelope of the tangent planes the torso.
		The tangent plane is then the plane through two consecutive lines, or, what is the same thing, an osculating plane of the curve, whence also the tangent plane intersects the surface in the generating line counting twice, and in a residual ccrve of the order fl2.
	22.1911encyclopedia.org /S/SU/SURFACE.htm (7266 words)

	PlanetMath: tangent plane of quadratic surface
		The equation of the tangent plane of the surface, with
		"tangent plane of quadratic surface" is owned by pahio.
		This is version 3 of tangent plane of quadratic surface, born on 2005-01-29, modified 2005-02-01.
	planetmath.org /encyclopedia/TangentPlaneOfQuadraticSurface.html (105 words)

	12
		The plane through P that is normal to the gradient vector at P is called the tangent plane to S at P.
		Another use of the gradient vector is to determine the angle of inclination of a tangent plane to a surface.
		The angle of inclination is defined as the angle between the given tangent plane and the xy plane, values to fall in the interval [0,p/2] 0 would mean horizontal and p/2 would mean perpendicular to the xy plane.
	www.ac.cc.md.us /~donr/CalcIII/unit3/lesson7/u3l7.html (818 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		To modify a curve in a manner that establishes tangent plane or curvature continuity between a selected curve and an adjacent surface or between a selected curve and a pair of construction curves.
		Adjusting the rotation is rotating the tangent vector on the tangent plane defined by the surface intersection.
		Tangent the curve is modified by projecting its tangent vector where it intersects the surface onto the tangent plane of the surface.
	www.cclabs.missouri.edu /things/instruction/aw/Projecttangent.html (2415 words)

	AllRefer.com - tangent (Mathematics) - Encyclopedia
		For other curves and surfaces the tangent line at a given point P is defined as the limiting position, if such a limit exists, of a secant line through P and another point P′ on the curve or surface as P′ is allowed to approach P.
		The tangent plane to a surface at a point is the plane in which every line in the plane that passes through the point is a tangent line to the surface at that point.
		The study of tangent lines and planes usually requires the concepts of the calculus and is included within the scope of differential geometry.
	reference.allrefer.com /encyclopedia/T/tangent.html (221 words)

	Definition of a Tangent Plane
		It is the plane that goes through that point and that it is tangent to the surface at that point.
		The tangent plane at the point x=a, y=b is the plane that contains all the tangent vectors (at the point) of curves on the surface that pass through the point (a,b,f(a,b)).
		This is the equation of the tangent plane to the surface z=f(x,y) at the point x=a,y=b.
	omega.albany.edu:8008 /maple2html/examples/define-m2h.html (494 words)

	Parabola -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		If the plane is itself tangent to the cone, one would obtain a (A person whose behavior deviates from what is acceptable especially in sexual behavior) degenerate parabola, a (A spatial location defined by a real or imaginary unidimensional extent) line.
		In (Either of two values that locate a point on a plane by its distance from a fixed pole and its angle from a fixed line passing through the pole) polar coordinates, a parabola with the focus at the origin and the top on the negative x-axis, is given by the equation
		Orbits that form a (An open curve formed by a plane that cuts the base of a right circular cone) hyperbola or an (A closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it) ellipse are much more common.
	www.absoluteastronomy.com /encyclopedia/p/pa/parabola.htm (1512 words)

	tangent.html
		We construct the plane with x held fixed at -2 and display it in red together with the graph of the function.
		Rotate the graph to see that the blue tangent plane is the closest plane approximation to the graph at the point (-2,1,9/2).
		The tangent plane point at (a,b) is the graph of a linear approximation to f(x,y) for (x,y) near (a,b), in the same way as the tangent line is the graph of a linear approximation to a function of one variable, f(x), near a fixed value x=a.
	www.math.uri.edu /Center/workht/calc3/tangent1.html (1239 words)

	PARABOLA - Online Information article about PARABOLA
		parallel to the tangent at the vertex of the diameter and is equal B 748 to four times the focal distance of the vertex.
		condition that the line at infinity is a tangent in the equation to the general conic.
		Newton showed that all the five varieties of the diverging parabolas may be exhibited as plane sections of the solid of revolution of the semi-cubical parabola.
	encyclopedia.jrank.org /PAI_PAS/PARABOLA.html (1854 words)

	Computing Tangent Planes
		The equation of the tangent plane is given by:
		Write a maple procedure for computing the equation of a general tangent plane at an arbitrary point.
		Another one: The equation of the tangent plane to the unit sphere centered at the origin at the point x=1/2,y=1/2.
	omega.albany.edu:8008 /calc3/tangent-planes-dir/examples-m2h.html (284 words)

	Tangent Planes and Linear Approximations - HMC Calculus Tutorial
		Just as in 2-space we can visualize the line tangent to a curve at a point, in 3-space we can picture the plane tangent to a surface at a point.
		Thus, the tangent plane has normal vector n = (48,-14,-1) at (1,-2,12) and the equation of the tangent plane is given by
		The tangent plane to a surface at a point stays close to the surface near the point.
	www.math.hmc.edu /calculus/tutorials/tangentplanes (426 words)

	Glossary: Tangent Plane (Site not responding. Last check: 2007-10-09)
		The tangent space at a point p of a surface is the set of all vectors tangent at p to curves on the surface passing through p.
		In general this space will be 2-dimensional, and in this case, it is called the tangent plane to the surface at the point p.
		For a surface given parametrically, the tangent plane usually can be computed by computing the tangents to the parametric curves through the point p and (if they are not parallel) using these as generators for the plane.
	www.geom.uiuc.edu /docs/research/RP2-handle/Glossary/TangentPlane.html (88 words)

	TJM's Multivariable Calculus Selected Topics: Tangent Plane (Site not responding. Last check: 2007-10-09)
		Shows the construction of a tangent plane to a surface at a point.
		To begin constructing the tangent plane to the surface at the point, we first intersect the surface with the plane y=-1.
		As it turns out, this is the plane we were seeking.
	www.math.ou.edu /~tjmurphy/Teaching/2443/TangentPlane/TangentPlane.html (260 words)

	Tangent space (Site not responding. Last check: 2007-10-09)
		The tangent space at a special symplectic instanton bundle on P^{2n+1}...
		Tangent spaces in moduli via deformations with applications to Weierstrass point...
		On The Tangent Space To The Space Of Algebraic Cycles On A Smooth Algebraic Vari...
	www.scienceoxygen.com /math/610.html (210 words)

	Tangent Plane (Site not responding. Last check: 2007-10-09)
		The orange plane is tangent to the swallowtail along the line connecting the catastrophe point to the fl point.
		Having found a plane tangent to the swallowtail, let us now investigate the relationship between polynomials corresponding to points on the plane.
		In this graphic, the red point is on the tangent plane, but not on the swallowtail.
	maven.smith.edu /~patela/students/swallowtail/sallytan.html (230 words)

	Pose estimation using base tangent plane (Site not responding. Last check: 2007-10-09)
		We introduce a simple pose estimation technique based on matching tangent planes of a 3D model with the base tangent plane (BTP) which is invariant for a vision system.
		A STP is a plane on which the object can rest in a stable state on a turntable.
		By matching the base tangent plane of one 3D model to a stable tangent plane of the other model, we derive a pose transformation matrix and register the models to a common coordinate system.
	www.ece.sunysb.edu /~parksy/Research/pose_estimation.html (278 words)

	Information on Tangent plane
		[1913 Webster] Tangent plane (Geom.), a plane which touches a surface in a point or line.
		Tangent scale (Gun.), a kind of breech sight for a cannon.
		Tangent screw (Mach.), an endless screw; a worm.
	www.wkonline.com /d/Tangent_plane.html (140 words)

	Tangent Plane Maple
		Using the tangent plane to help motivate the chain rule and directional derivatives.
		A second tangent plane is created here, using only 2 gridpoints, which just draws its outline when rendered in a wireframe style.
		A smaller tangent plane, and a shadow of the arrow on the surface:
	www.central.edu /homepages/lintont/maple/tanplane/tanplane.html (1086 words)

	Calculus III (Math 2415) - Applications of Partial Derivatives - Tangent Planes and Linear Approximations
		What we need to do now is determine the equation of the tangent plane. We know that the general equation of a plane is given by,
		The equation of the tangent plane to the surface given by
		One nice use of tangent planes is they give us a way to approximate a surface near a point. As long as we are near to the point
	tutorial.math.lamar.edu /AllBrowsers/2415/TangentPlanes.asp (534 words)

	Tangent Planes:TOC
		This is an experiment in using the World Wide Web to illustrate the intuitive notion of the tangent plane to a graph of a function of two variables.
		(In studying several variable Calculus you encounter a definition of tangent plane which involves the derivative of the function.) In this document you will have the opportunity to view a variety of different graphs and see how they do or don't become plane-like as you zoom into them.
		You will see that a function need only be slightly "crinkled" at a point to lack a tangent plane there.
	mathforum.org /~klotz/tangents/TangentPl.html (450 words)

	Gradient of f(x,y) and F(x,y,z) = f(x,y) - z, a Tangent Plane and More for Physics of Walking/Marching and Tossing (Site not responding. Last check: 2007-10-09)
		Computing grad F(2.788, 5.576, 14.070) dot (x-2.788, y-5.576, z-14.070) set equal to zero is one way to find the tangent plane at the given point.
		Tangent Plane, light blue, at the given point is: z = -1.394 x + 17.956472 (y = anything)
		An equation reprsenting the parabola of the toss "IN" this light green plane is:
	www.jug.net /wt/tj1wmtgt.htm (375 words)

	Parabola (Site not responding. Last check: 2007-10-09)
		A parabola is a conic section generated by the intersection of a cone, and a plane tangent to the cone or parallel to some plane tangent to the cone.
		If the plane is itself tangent to the cone, one would obtain a degenerate parabola, a line.
		A parabola can also be defined as locus of points which are equidistant from a given point (the focus) and a given line (the directrix).
	www.brainyencyclopedia.com /encyclopedia/p/pa/parabola.html (764 words)

	OU Multivariable Calculus and Mathematica: Construction of a Tangent Plane (Site not responding. Last check: 2007-10-09)
		This set of Mathematica commands and graphics shows the construction of a tangent plane to a surface at a point.
		We are interested in the tangent plane to the surface S=f(x,y) at a particular point.
		To begin constructing the tangent plane to the surface at the point, we first intersect the surface with the plane y=-1, calling this plane "yplane".
	www.math.ou.edu /~tjmurphy/Teaching/2443/2443.9802/tangentPlane/tangentPlane.html (231 words)

	Tangent Plane (Site not responding. Last check: 2007-10-09)
		The plane that contains all the lines tangent to a specific point on a surface.
		English words defined with "tangent plane": Gnomonic projection ♦ Indicatrix ♦ Synclastic.
		Specialty definitions using "tangent plane": angle of polarization ♦ Brewster's law ♦ gnomonic chart &diams; natural coordinates ♦ rake of stylus, recording angle, recording dig.
	www.websters-online-dictionary.org /ta/tangent+plane.html (212 words)

	tangent on Encyclopedia.com (Site not responding. Last check: 2007-10-09)
		Tangent Computer, Inc. Contracts IBM To Enhance Its Product Service and Support.
		Tangent Technology Strengthens Key OEM Relationship With Actuate; Tangent Announces Support for Actuate 6.
		Tangent Computer Announces Medallion 820 Pro DV Desktop System - Features Intel's Pentium III 866MHz Processor, FireWire-Ready, and Optimized for Performance by Tangent Computer.
	www.encyclopedia.com /html/t1/tangent.asp (456 words)

	Example of Tangent Plane with Vectors (Site not responding. Last check: 2007-10-09)
		The red and purple vectors are tangent to the cross-sections at the point.
		We've drawn in a portion of the plane tangent to the surface at the point (1,0,0).
		Rotate the cross-sections (using the slider on the bottom) and the entire picture (by clicking and dragging on the picture) until you're convinced that the tangent vectors are always contained in the tangent plane.
	www.math.umn.edu /~rogness/multivar/tanplane_withvectors.shtml (224 words)

	Tangent Plane Demo GV (Site not responding. Last check: 2007-10-09)
		By taking this parameterizaaton, we use calculus to compute the tangent vectors, and thus we may parameterize the tangent plane.
		This demo shows a saddle surface with a tangent plane at the origin.
		Notice that the Tangent Plane intersects the surface.
	www.geom.uiuc.edu /education/UMTYMP/CalcIII/1994/StudentLabs/TangentPlane/demo.html (106 words)

	definition of horizon
		A plane passing through the eye of the spectator and at right angles to the vertical at a given place; a plane tangent to the earth's surface at that place; called distinctively the sensible horizon.
		A plane parallel to the sensible horizon of a place, and passing through the earth's center; -- called also rational / celestial horizon.
		The chief horizontal line in a picture of any sort, which determines in the picture the height of the eye of the spectator; in an extended landscape, the representation of the natural horizon corresponds with this line.
	www.brainydictionary.com /words/ho/horizon174280.html (207 words)

Try your search on: Qwika (all wikis)