conic section

Definitions

  • WordNet 3.6
    • n conic section (geometry) a curve generated by the intersection of a plane and a circular cone
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Webster's Revised Unabridged Dictionary
    • Conic section (Geom) a curved line formed by the intersection of the surface of a right cone and a plane. The conic sections are the parabola, ellipse, and hyperbola. The right lines and the circle which result from certain positions of the plane are sometimes, though not generally included.
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Chambers's Twentieth Century Dictionary
    • Conic section a figure made by the section of a cone by a plane
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Etymology

Chambers's Twentieth Century Dictionary
Fr. cone—L.,—Gr. kōnos, a peak, a peg.

Usage

In literature:

When he was sixteen we learn that he had read conic sections, and that he was engaged in the study of pendulums.
"Great Astronomers" by R. S. Ball
PARABOLA, a conic section formed by the intersection of a cone by a plane parallel to one of its sides.
"The Nuttall Encyclopaedia" by Edited by Rev. James Wood
Before age 16, he wrote a book on conic sections.
"Our Legal Heritage, 5th Ed." by S. A. Reilly
Doctor Dick said that, among other things, he thought in heaven we should study chemistry, and geometry, and conic sections.
"New Tabernacle Sermons" by Thomas De Witt Talmage
Whether we think of bridges or projectiles, of the curves of ships, or of the rules of navigation, we must think of conic sections.
"Human Traits and their Social Significance" by Irwin Edman
But Louis went to the large academy, where he studied Greek and Latin and Conic Sections, &c., where none but boys were admitted.
"Helen and Arthur" by Caroline Lee Hentz
I'm called Miranda Jane Judkins, and I come from Conic Section Farm, Squashville, Massachusetts.
"A harum-scarum schoolgirl" by Angela Brazil
Fifty gulden sounds like conic sections to me.
"Gold Out of Celebes" by Aylward Edward Dingle
This curve is not answerable to any of the figures of conic sections, although it occasionally partakes of them all.
"The Sailor's Word-Book" by William Henry Smyth
Conic sections are obtained by cutting the cone by planes.
"The Romance of Mathematics" by P. Hampson
You took conic sections a year before I did.
"The Dominant Strain" by Anna Chapin Ray
His chief work was a treatise on Conic Sections.
"History of the Intellectual Development of Europe, Volume I (of 2)" by John William Draper
Hence the meridian section of the film may be traced by the focus of such a conic, if the conic is made to roll on the axis.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3" by Various
He developed especially what we know now as conic sections.
"Education: How Old The New" by James J. Walsh
To propose philosophy to them would be just as weak as to propose the study of conic sections to peasants or fish-women.
"A Philosophical Dictionary, Volume 8 (of 10)" by François-Marie Arouet (AKA Voltaire)
Captain Conic Section, Mackerel Brigade, Commanding Accomac.
"The Orpheus C. Kerr Papers. Series 1" by Robert H. Newell
I was beginning conic sections in the third half-year, and this subject I found was one that I could manage very well by thinking quietly over.
"The Gentleman Cadet" by A.W. Drayson
Every plane section of this cone is a conic.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6" by Various
The subject of conic sections starts with another pupil of Plato's, Menaechmus, who lived about 350 B.C.
"The Teaching of Geometry" by David Eugene Smith
Because the bosom of my family was absorbed in conic sections!
"Red Rowans" by Flora Annie Steel
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In news:

Is there a guideline for setting the height of the conical section of a column.
Weatherproof steel, six conical/elliptical sections, total length: 86 ft.
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In science:

The reason for restricting ourselves to the conic Lagrangian cycles in T ∗M was explained in Section 1.
Integrals of Equivariant forms and a Gauss-Bonnet Theorem for Constructible Sheaves
We simplify the conics Ai by a special choice of our sections si : Let θi , θi+α ∈ Σα for i = 1, 2; we assume below that the pair (θi , θi + α) corresponds to the points qi by Theorem 2.10.
Formulas for the arithmetic geometric mean of curves of genus 3
The results of the preceding section have been elaborated in close relation with the pro ject of generalising the paper of Vickers and Wilson for the wave equation on conical space-times.
Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras
Restriction theorem, Fourier transform, conic sections.
Slicing surfaces and Fourier restriction conjecture
In Section 3, we study the linear heat equation on conical surfaces.
Ricci flow on surfaces with conical singularities
In the last section, we use ODE method to show the existence of some Ricci soliton metric in the case of Riemann sphere with one or two conical singularities.
Ricci flow on surfaces with conical singularities
The purpose of this section is to show if S is the Riemann sphere and β consists of one or two conical singularities, then there exists (shrinking) Ricci Soliton metric in the conformal class (S, β ).
Ricci flow on surfaces with conical singularities
Taking degrees and consulting Section 4 we see that C1 must be a conic.
Algebraic webs invariant under endomorphisms
The conical section starts at R=1.2 cm, z=6.25 cm, with a cone angle of 103 mrad, which is outside the LumiCal fiducial region.
SiD Letter of Intent
Scon (y) is the surface loss on one conic section of the bellows, Spl (y) is the surface losses at the two disc surfaces of the bellows, V (y) is the effective volume term.
Options for the Neutron Lifetime Measurements in Traps
If we assume that the frequency support of initial data and therefore of the solution U , θ is conically separated from the uniplanar directions we can follow Section 2 and rewrite as first order system in V (t, ξ ) with coefficient matrix B (ξ ) given by (2.9) and of (1,1,5)-block structure.
Thermo-elasticity for anisotropic media in higher dimensions
In this section we count the number of points on each of the conics Ca,b , as given by (4.2).
Manin's conjecture for a singular quartic del Pezzo surface
Namely, the classical conics, defined as the level set of a degree 2 real polynomial equation, can always be realized as the equidistant set to two circles (see section 2).
Old and new about equidistant sets and generalized conics
In this section we review the definition of the classical conics as the equidistant set to two circles (possibly degenerating into points or straight lines).
Old and new about equidistant sets and generalized conics
In section 2 we have seen how the classical conics can be realized as equidistant sets with circular focal sets.
Old and new about equidistant sets and generalized conics
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