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What are conics?

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Seffiansafe

Lvl 1
17y ago
Updated: 4/28/2022

Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.

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Related Questions

What has the author Ralph A Roberts written?

Ralph A. Roberts has written: 'A Collection Of Examples And Problems On Conics And Some Of The Higher Plane Curves' 'A Collection Of Examples On The Analytical Geometry Of Plane Conics'


What are conics in mathematics?

Maybe you mean connics? Conics are shape of graphs. They get their name because they are all parts of a cone sliced in different directions. Some examples are lines, parabolas, hyperbolas, circles, ellipses, points...


What rhymes with phonics?

economics onix eletronics tonics conics flextronics harmonics ionics answer your question?


Which shapes have curved edges?

circles, ellipses conics which are formed by cutting a cone with a plane not passing through its nappus


Are conics a part of calculus?

Mostly in Calc III you deal with them, not so much in Calc II and none in Calc I


What has the author Robert Bix written?

Robert Bix has written: 'Conics and Cubics' -- subject(s): Algebraic Curves, Curves, Algebraic


What has the author Samuel G Barton written?

Samuel G. Barton has written: 'The normals to conics' -- subject(s): Conic sections


Hypatia wrote an important commentary on?

The Astronomical Canon...Athrimetica...Conics...and edited text written by her father and Ptolomy. Died 415, killed by a mob


Who discovered the equation for conic circles?

The equation for conic sections, including circles, was developed by ancient Greek mathematicians, particularly Apollonius of Perga, in the 3rd century BCE. He is often credited with formalizing the study of conics in his work "Conics." However, the general equation of a circle ( (x - h)^2 + (y - k)^2 = r^2 ) is derived from the definition of a circle as the set of points equidistant from a center point ((h, k)).


How can you tell if an equation is a parabola?

Any and all conics, parabolas included, take the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, with A, B, and C not all zero. The parabolas themselves have B2 - 4AC = 0.


What rhymes with comics?

Chronic, conic, ironic, sonic, tonic, and phonic.


What is the part of a conical solid left after cutting off the top portion with the plane parallel to the base?

This is the most basic of the conics; a circle. Think about it this way: take a cone, point up, and make a flat, horizontal cut anywhere. The result will be a circle.

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