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# Topic: Cone (geometry)

###### In the News (Tue 18 Jun 13)

 Cone - Wikipedia, the free encyclopedia A volcanic cone is a mountain formed by material ejected from a volcanic vent. In vertebrate anatomy, a cone cell is a type of light-sensitive cell found along with rods in the retina of the eye. In ceramics manufacture, a pyrometric cone is a conical or pyramidal mineral stick that is used to gauge the temperature of an oven. en.wikipedia.org /wiki/Cone   (459 words)

 Cone - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-13) In ceramics manufacture, a cone is a conical or pyramidal mineral stick that is used to gauge the temperature of an oven. In geometry, cone is often used informally for conical surface, usually a right circular one; see cone (geometry). Also in geometry, the cone of an arbitrary set $Xmeans the union of all line segments connecting a fixed point to points ofX.$ www.encyclopedia-online.info /Cone   (402 words)

 Cone [Definition]   (Site not responding. Last check: 2007-10-13) Cones are less sensitive than the rod cells in the retina (which support vision at low light levels), but allow the perception of color because there are [normally] three kinds of cones, with different photopsins, which have different response curves (that is, they respond to varia... Cones are also frequently used in indoor public spaces to mark off areas which are closed to pedestrians, such as a restroom out of order; or to make note of a dangerous condition, such as a slippery floor. Also in geometry, the cone of an arbitrary set X means the union of all line segments In mathematics, a line segment is a part of a line that is bounded by two end points. www.wikimirror.com /Cone   (2154 words)

 CONE - LoveToKnow Article on CONE   (Site not responding. Last check: 2007-10-13) The axis of the cone is the side about which the triangle revolves; the circle traced by the other side containing the right angle is the base; the hypotenuse in any one of its positions is a generator or generating line ; and the intersection of the axis and a generator is termed the vertex. An oblique cone is the solid or surface traced out by a line which passes through a fixed point and through the circumference of a circle, the fixed point not being on the line through the centre of the circle perpendicular to its plane. The subcontrary section of an oblique cone is made by a plane not parallel to the base, but perpendicular to the principal section, and inclined to the generating lines in that section at the same angles as the base; this section is a circle. www.1911encyclopedia.org /C/CO/CONE.htm   (663 words)

 CONIC SECTION - LoveToKnow Article on CONIC SECTION   (Site not responding. Last check: 2007-10-13) But in modern geometry, especially in the analytical and projective methods, the principle of continuity renders advisable the inclusion of the other forms of the section of a cone, viz, the cirde, and two lines (and also two points, the reciprocal of two lines) under the general title conic. In analytical geometry the conic is represented by an algebraic equation of the second degree, and the species of conic is solely determined by means of certain relations between the coefficients. Prior to his time, a right cone of a definite vertical angle was required for the generation of any particular conic; Apollonius showed that the sections could all be produced from one and the same cone, which may be either right or oblique, by simply varying the inclination of the cutting plane. www.1911encyclopedia.org /C/CO/CONIC_SECTION.htm   (3749 words)

 Volcanic cone - Wikipedia, the free encyclopedia Volcanic cones are of different types, depending upon the nature and size of the fragments ejected during the eruption. Spatter cones are typical of volcanoes with highly fluid magma, such as those found in the Hawaiian Islands. An ash cone is comprised of particles of silt to sand size. en.wikipedia.org /wiki/Volcanic_cones   (431 words)

 Cones [Definition]   (Site not responding. Last check: 2007-10-13) An ice cream cone An ice cream cone is a cone-shaped pastry, usually made of a wafer similar in texture to a waffle, in which ice cream is served, permitting it to be eaten without a bowl or spoon. Also in geometry, the cone of an arbitrary set Sets are one of the most important and fundamental concepts in modern mathematics. For example, this coning operation will turn a triangle A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. www.wikimirror.com /Cones   (3856 words)

 MSN Encarta - Search Results - Cone (mollusk)   (Site not responding. Last check: 2007-10-13) Cone (mollusk), common name for certain predaceous marine snails (gastropodmollusks) possessing a poison gland. Cone (geometry), in geometry, surface generated by a straight line that moves along a closed curve while always passing through a fixed point. lateral area of a cone, surface area of a cone, volume of a cone, volume of a partial cone encarta.msn.com /Cone_(mollusk).html   (196 words)

 cone (geometry) The volume and surface area of a cone are given by formulae involving a few simple dimensions. A right circular cone is generated by rotating an isosceles triangle about its line of symmetry. The distance from the edge of the base of a cone to the vertex is called the slant height. www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006655.html   (280 words)

 Right circular cone - Wikipedia, the free encyclopedia In geometry, a right circular cone is a cone whose base is a circle and whose apex is on a line perpendicular to the plane containing the base. â” the area of the side of the cone â” equals the circumference of the base circle multiplied by the slant height of the cone (the distance from the apex to any point on the outside of the base). equals the area of the base circle multiplied by the height of the cone (the distance from the apex to the center of the base). en.wikipedia.org /wiki/Right_circular_cone   (152 words)

 Encyclopedia: Cone (geometry)   (Site not responding. Last check: 2007-10-13) A cone with its apex cut off by a plane parallel to its base is called a frustum. The term cone is sometimes extended to more general shapes, such as the image of a common cone by an affine map —; which may turn the basis into an ellipse (producing an elliptical cone) and/or tilt the axis relative to the base (an oblique cone). The center of mass (assuming the cone is filled with uniform density) is located on the axis, 1/4 of the way from base to apex. www.nationmaster.com /encyclopedia/Cone-(geometry)   (289 words)

 Cone (geometry) - Wikipedia, the free encyclopedia If the origin belongs to a cone, then the cone is called pointed. The union and intersection of a collection of cones is a cone. This article incorporates material from Cone on PlanetMath, which is licensed under the GFDL. en.wikipedia.org /wiki/Cone_(geometry)   (240 words)

 Conformance, Appearance, Appearance   (Site not responding. Last check: 2007-10-13) The result is (for all geometry faces): the first column of geometry should show the VTS logo with the horizontal texture direction corresponding to the -X coordinate direction, and the vertical texture direction corresponding to -Y direction. The second column of geometry should map the VTS logo with the positive horizontal direction corresponding to the -Y direction, and the positive vertical axis in the +X direction. A row of geometry primitives, followed by a row containing an Extrusion, an ElevationGrid and and IndexedFaceSet geometry should be displayed as transparent geometry with only the color VTS characters appearing on the transparent texture background. www.web3d.org /x3d/content/examples/Conformance/Appearance/Appearance   (990 words)

 Cone   (Site not responding. Last check: 2007-10-13) According to sources within the organization, Cone has asked the Yankees for a two-year deal estimated at a... In geometry, cone is often used informally for conical surface, usually a right circular one. Also in geometry, the cone of an arbitrary set means the union of all line segments connecting a fixed point to points of. www.hallencyclopedia.com /Cone   (751 words)

 Xah: Special Plane Curves: Conic Sections The conics were first defined as the intersection of: a right circular cone of varying vertex angle; a plane perpendicular to an element of the cone. Inscribe a sphere that is tangent to: the cone along a circle C; the cutting plane at a point F. Let P be any point on the conics. Pascal's theorem (and its dual) are important in projective geometry, which in turn is a fundamental branch of geometry. xahlee.org /SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html   (1897 words)

 : Class Cone Cone is a geometry primitive defined with a radius and a height. It is a capped cone centered at the origin with its central axis aligned along the Y-axis. The center of the cone is defined to be the center of its bounding box (rather than its centroid). www.isi.edu /~amarshal/Java3DUtils/com/sun/j3d/utils/geometry/Cone.html   (574 words)

 Geometry Calculators Java Gallery of Interactive Geometry -- A number of geometry Java applets -- hyperbolic triangles, simulation of the Lorenz equations, interation of a quadratic map, a version of the Tetris game, Leap fractal chaos game, creating and animating fractals, generate wallpaper patterns. Geometric Calculators -- Calculate the circumference and area of a circle, surface area and volume of a cone, and surface area and volume of a sphere. Geometry -- A geometry text covering points, lines, planes, angles, postulates and theorems, unions and intersections, formulas, constructions, etc. Contains sample problems and a comprehensive glossary. www.ifigure.com /math/geometry/geometry.htm   (494 words)

 VisualCFD Operating Instructions However, because the geometry is axisymmetric the results for positive and negative angle of attack are identical when the solution is converged. For supersonic flow the X-distance from the origin to the tip of a pointed nose cone can be small because the shock wave is attached to the nose cone tip and the region before the nose cone is not effected by the flow field around the model. However, a blunt nose cone requires a much greater distance from the origin to the tip of the nose cone because a detached shock wave is present. www.aerorocket.com /VisualCFD/Instructions.html   (6208 words)

 Conformance, Geometry, Cone   (Site not responding. Last check: 2007-10-13) A simple cone whose central axis is aligned with the local Y-axis, centered at the origin in the local coordinate system, and measures from -1 to +1 in all three dimensions. A simple cone with the field set to FALSE, which indicates that the bottom of the cone should not be visible. A simple cone with the field set to FALSE, which indicates that the sides of the cone should not be visible. web3d.org /x3d/content/examples/Conformance/Geometry/Cone/chapter.html   (165 words)

 Patent 6130929: Method for eliminating artifacts in scanning electron beam computed tomographic images due to cone beam ... In the method disclosed in the Harman patent, the so-called "cone geometry problem" in image reconstruction is solved using a heuristic approach. The present invention compensates for cone beam error in a CT system using a corrective method that infers line integrals within a fixed two-dimensional plane, by using known line integrals lying at a shallow angle, the cone angle, to that plane. In a cone bean tomographic scanner, with which the present invention may advantageously be used, the line integrals do not follow paths lying on a plane normal to the z-axis. www.freepatentsonline.com /6130929.html   (5833 words)

 MSN Encarta - Search Results - Cone (geometry) A cone is a pyramid with a circular base. A cone is a right cone if a line joining the center of its base to its apex is perpendicular to its base.... Geometry : Euclidean Geometry : Three-Dimensional Euclidean Figures : Cylinders and Cones encarta.msn-ppe.com /Cone_(geometry).html   (239 words)

 Citebase - Light Cone $W_n$ Geometry and its Symmetries and Projective Field Theory   (Site not responding. Last check: 2007-10-13) Citation coverage and analysis is incomplete and hit coverage and analysis is both incomplete and noisy. I show that the generalized Beltrami differentials and projective connections which appear naturally in induced light cone $W_n$ gravity are geometrical fields parametrizing in one-to-one fashion generalized projective structures on a fixed base Riemann surface. Such geometries are discussed and the case of $W_\infty$-gravity is analysed in detail. citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9205102   (949 words)

 Geometry and Topology - Numericana The area of a trapezoid is the arithmetic average (i.e., the half-sum) of its two parallel bases multiplied by its height (the height is the distance between the bases). Background : The so-called general quadratic equation you are giving describes planar curves which are known as conic sections, for historical reasons (the "ordinary" ones are obtained as the the intersection of a plane and a full cone, defined as the surface generated by a straight line rotating around an axis that intersects it). A conic section may be an ellipse (possibly a circle), a parabola, or a hyperbola. home.att.net /~numericana/answer/geometry.htm   (7879 words)

 Ravenfield Designs Limited - A Short Tutorial on Cone and Plate Geometry   (Site not responding. Last check: 2007-10-13) The best method of generating a uniform shear field in a liquid is to contain the liquid between a flat plate and a rotor with a conical face of very small angle. A solution to this for the measurement of particulate fluids is to cut away part of the tip of the cone. This is an excellent solution to the problem for measurement purposes since it can be arranged that the torque generated by the truncated section, where the shear field is non-uniform, is a negligible part of the total torque. www.ravenfield.com /coneplat.htm   (232 words)

 cone   (Site not responding. Last check: 2007-10-13) The scaly fruit -like reproductive bodies of certain plant s, especially conifer s and cycad s, are called cones : see conifer cones. In ceramics manufacture, a pyrometric cone is a conical or pyramid al mineral stick that is used to gauge the temperature of an oven. In linear algebra, the convex cone of a set of vector s consists of all linear combination s of those vectors with non-negative coefficients. www.33beat.com /cone.html   (428 words)

 Math Forum - Ask Dr. Math Archives: High School Higher-Dimensional Geometry   (Site not responding. Last check: 2007-10-13) Our 4th grade math textbook defines a cone as "A solid figure with one circular face and one vertex." This sounds reasonable until you read the textbook's definitions for face, edge, and vertex. What is the area of a cone when given the height and the angle at the convergence point? It should be 21" tall with a top opening of 8", a bottom opening of 20", and a vertical seam overlap of 2". mathforum.org /library/drmath/sets/high_3d.html   (988 words)

 Graphics Archive - Qhull cone by Brad Barber   (Site not responding. Last check: 2007-10-13) For example, a cube is the convex hull of the cube's vertices. This cone is the convex hull of two 20-sided polygons and a cospherical point. Copyright © April 1995 by The Geometry Center, Univerity of Minnesota. www.geom.uiuc.edu /graphics/pix/Special_Topics/Computational_Geometry/cone.html   (196 words)

 Geometry Node Cone   (Site not responding. Last check: 2007-10-13) When a cone is drawn, it is centered in the local coordinate system and its central axis is aligned with the local Y-axis. Default values indicate that the cone has a radius of 1.0 at the bottom and a height of 2.0, with its apex at y=1 and its bottom at y=-1. The cone geometry is solid and requires outside faces only. xsun.sdct.itl.nist.gov /~mkass/x3d/Geometry/Cone/Requirements.html   (267 words)

 : Index Used to add Nodes to the geometry side (as opposed to the view side) of the scene graph. Box is a geometry primitive created with a given length, width, and height. Cylinder is a geometry primitive defined with a radius and a height. www.isi.edu /~amarshal/Java3DUtils/index-all.html   (3919 words)

 The Light Cone: Introduction The Light Cone is a mathematical model that very neatly encodes this causal structure of Einstein's Spacetime. The upward -directed cone opens to enclose the directions pointing towards events to the future of this event. The downward -directed cone directions pointing towards events to the past of this event. www.phy.syr.edu /courses/modules/LIGHTCONE/introduction.html   (697 words)

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