CONIC SECTION

or conickŏnˈĭk, curve formed by the intersection of a plane and a right circular cone (conical surface). The ordinary conic sections are the circle, the ellipse, the parabola, and the hyperbola. When the plane passes through the vertex of the cone, the result is a point, a straight line, or a pair of intersecting straight lines; these are called degenerate conic sections. There are many examples of the conic sections, both in nature and in technology. The orbits of planets and satellites are elliptical, and parallel reflectors (e.g., in telescopes) are parabolic in shape.

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The Columbia Encyclopedia, Sixth Edition Copyright© 2004, Columbia University Press. Licensed from Lernout & Hauspie Speech Products N.V. All rights reserved.

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Questia Books and Articles on: Conic Section
We found: 281 results
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books on: Conic Section  - 200 results

       More book Results: 1-10 11-20 21-30 31-40 41-50 >>  
 
1.
International Dictionary of Physics and Electronics
Book by Walter C. Michels; Van Nostrand, 1956
of two components melts to a liquid of the same composition. CONIC. A conic section. CONIC, CENTRAL. A conic section which is symmetric about a finite point on the plane of the curve. If this point...
2.
Readings in the Physical Sciences
Book by Harlow Shapley, Helen Wright, Samuel Rapport; Appleton-Century-Crofts, 1948
Subjects: Science
...intersection of a plane with either or both nappes is a conic section , or briefly, a conic . According to this definition it is easily seen...through V and does not cut the surface elsewhere, the conic is a point . 2. If the plane passes through V and...
3.
The Crescent Dictionary of Mathematics
Book by William Karush; Macmillan, 1962
Subjects: Mathematics--Dictionaries
Conic Syn.: Conic section A plane curve defined as follows: Fix a line, the directrix , and...focus is in the ratio e to its distance from the directrix make up a conic. The three types of conics are distinguished by the value of the eccentricity...
4.
Encyclopedia of the History of Arabic Science - Vol. 2
Book by Roshdi Rashed, RÉgis Morelon; Routledge, 1996
Subjects: Science--Arab Countries--History--Encyclopedias
...its pole (in which the circles of the sphere pass to conic sections), considers the construction of conic sections by means of projective transformation of a circle onto a conic section in its plane. Al-Biruni considers the transformation...
5.
Freedom and Immortality
Book by Ian T. Ramsey; SCM Press, 1960
Subjects: Free Will And Determinism, Immortality
...conclude that something is a conic section because it has this equation...begin with solid geometry, with conic sections made by a cutting plane, and...such and such because this is a conic section. The same is true about asking...
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journal articles on: Conic Section  - 67 results

       More journal Results: 1-10 11-20 21-30 31-40 41-50 >>  
 
1.
Rapid Prototyped Teaching Models for Volumes of Revolution and Volumes by Cross-section in College Calculus
Journal article by Sid Kolpas, Tom Ferguson; Mathematics and Computer Education, Vol. 41, 2007
Subjects: Calculus, Computer aided design--CAD, Computer aided manufacturing--CAM, Mathematical models, Mathematics education, Rapid prototyping, Teaching methods
...of Revolution and Volumes by Cross-section in College Calculus by Sid Kolpas , Tom...washers, and shells) and cross-section (Figure 1). Some have employed traditional...of math models that were built include conic sections (Figures 5 and 6) We were able to create...
2.
Book Five of Alhacen's de Aspectibus
Journal article by A. Mark Smith; Transactions of the American Philosophical Society, Vol. 96, 2006
Subjects: Abu Ali al-Hasan ibn al-Haytham (965-1039), Books, Literary criticism, Mathematicians, Mathematics education, Optics
...to this common section is longer than...planes formed by conic sections, or whether they...two hyperbolic conic sections lie opposite one...drawn from one section to the other...between one of the sections and one of the...between the other section and the other asymptotic...extending from T to conic section CU is the...
3.
Introduction
Journal article by A. Mark Smith; Transactions of the American Philosophical Society, Vol. 96, 2006
Subjects: Abu Ali al-Hasan ibn al-Haytham (965-1039), Manuscripts, Optics, Source studies
...26 The rest will form conic sections. When a given plane of reflection cuts a conic section on the mirrors surface...infinite number of conic sections can be formed on the...plane, the particular conic section will have a unique pair...
4.
On the Use of Technology to Represent and Explore Mathematical Objects or Problems Dynamically
Journal article by Manuel Santos-Trigo; Mathematics and Computer Education, Vol. 42, 2008
Subjects: Geometry, Mathematical models, Mathematical problems, Mathematics education, Secondary school students, Software
...to check the definition of the conic section. Similarly, moving point Q...argument to verify properties of the conic sections, using the software, is the...verify the definition of the conic section for a particular figure, but...
5.
Estimating the Large-Scale Structure of the Universe Using Quasi-Stellar Object Carbon IV Absorbers
Journal article by J.M. Loh, M.L. Stein, J.M. Quashnock; Journal of the American Statistical Association, Vol. 98, 2003
...Simulation Results In Sections 5 and 6 we described...of sight in the SDSS conic section, as well as on sets...of sight in the SDSS conic section, the standard...of sight in the SDSS conic section, we find that using...
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magazine articles on: Conic Section  - 4 results

 
 
1.
The Spirit That Builds
Magazine article by Stephen Flinn Young; National Forum, Vol. 76, Spring 1996
Subjects: Baggett, William C, Design, Hattiesburg Mississippi, Libraries, Murals, Personal profiles, Visual artists
...mounted thirty feet over the registration desk. It would be a conic section ten feet high and fifty feet in diameter. Baggett had already...its Native American inhabitants and continuing to include sections on farming, logging, city-building, public schools...
2.
The Merit Pay Debate
Magazine article by Russ Mitchell; Chief Executive, April 2005
Subjects: California, Education reform, Initiatives, Pay for performance, Political behavior, Schwarzenegger, Arnold, Teachers, United States
...toward small high schools designed to give students who often conic from very difficult circumstances a lot of support, and a good...couple were asked to help create a program for droponts in a poor section of Long Island, N.Y. It wasnt long before the couple concluded...
3.
Making Space
Magazine article by Caleb Bach; Americas (English Edition), Vol. 51, February 1999
Subjects: Ambasz, Emilio--Criticism, interpretation, etc., Architects--Criticism, interpretation, etc.
...suggested that water silently flow down all but a central section through which pedestrians would enter or exit the building...pyramid forms set at various angles interspersed with truncated conic sections. The complex possesses an otherworldly quality, particularly...
4.
Making Space
Magazine article by Caleb Bach; Americas (English Edition), Vol. 51, January 1999
Subjects: Ambasz, Emilio--Biography, Architects--Works
...suggested that water silently flow down all but a central section through which pedestrians would enter or exit the building...pyramid forms set at various angles interspersed with truncated conic sections. The complex possesses an otherworldly quality, particularly...


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newspaper articles on: Conic Section  - 2 results

 
 
1.
The Prize Crossword
Newspaper article; The Mail on Sunday (London, England), February 28, 2010
...7) 24 Robert ---, screenwriter of Chinatown (5) 25 Annual American Football championship game (5,4) 27 Conic section formed by a plane that cuts both bases of a cone (9) 29 Author of The House Of Mirth (7) 31 Translucent fossil...
2.
Maths Is Sexy - as Long as You Add Rachel, Togas and Slaves; ALSO SHOWING
Newspaper article; The Mail on Sunday (London, England), April 25, 2010
Subjects: Amenabar, Alejandro, Slavery
...the planets and Weisz getting out of the bath, Agora makes conic curves and heliocentric models unfeasibly sexy. Comedy doesnt...certainly sets teeth on edge. It won the Un Certain Regard section at Cannes last year and it is the story of three siblings brought...


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encyclopedia articles on: Conic Section  - 8 results

       More encyclopedia Results: 1-8 >>  
 
1.
Conic Section
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
CONIC SECTION or conic kon ik, curve formed by the intersection of a plane and a right circular cone (conical surface). The ordinary conic sections are the circle , the ellipse , the parabola , and the hyperbola...
2.
Parabola
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
...line (directrix) (see illustration). It is the conic section cut by a plane parallel to one of the elements of the...the path of a projectile and the shape of the cross section of a parallel beam reflector...
3.
Cylinder
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
...directrix; each line of the family of lines forming the cylinder is called a ruling, or generator. If the directrix is a conic section (e.g., a circle or a parabola), the cylinder is called a quadric cylinder. The commonest type of cylinder is...
4.
Circle
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
...plane curve consisting of all points at a given distance from some fixed point, called the center. A circle is a conic section cut by a plane perpendicular to the axis of the cone. The term circle is also used to refer to the region enclosed...
5.
Cone , in Mathematics
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
...generator creates two conical surfaces one above and one below the vertex called nappes. If the directing curve is a conic section (e.g., a circle or ellipse) the cone is called a quadric cone. The most common type of cone is the right circular...
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