a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).
The explicit drawing of a parallel between two essentially dissimilar things, especially with a moral or didactic purpose. A parable.
Origin: From παραβολή, from παραβάλλω, from παρά + βάλλω.
a kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus
one of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes
Origin: [NL., fr. Gr. ; -- so called because its axis is parallel to the side of the cone. See Parable, and cf. Parabole.]
A parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape. One description of a parabola involves a point and a line. The focus does not lie on the directrix. The locus of points in that plane that are equidistant from both the directrix and the focus is the parabola. Another description of a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane, which is parallel to a straight line on the conical surface and perpendicular to another plane which includes both the axis of the cone and also the same straight line on its surface. A third description is algebraic. A parabola is a graph of a quadratic function, such as The line perpendicular to the directrix and passing through the focus is called the "axis of symmetry". The point on the axis of symmetry that intersects the parabola is called the "vertex", and it is the point where the curvature is greatest. The distance between the vertex and the focus, measured along the axis of symmetry, is the "focal length". The "latus rectum" is the chord of the parabola which is parallel to the directrix and passes through the focus. Parabolas can open up, down, left, right, or in some other arbitrary direction. Any parabola can be repositioned and rescaled to fit exactly on any other parabola — that is, all parabolas are geometrically similar.²
Chambers 20th Century Dictionary
par-ab′o-la, n. (geom.) a curve or conic section, formed by cutting a cone with a plane parallel to its slope (for illustration, see Cone).—adjs. Parabol′ic; Parabol′iform.—n. Parab′oloid, the solid which would be generated by the rotation of a parabola about its principal axis. [Gr. parabolē; cf. Parable.]
The Nuttall Encyclopedia
a conic section formed by the intersection of a cone by a plane parallel to one of its sides.
The Standard Electrical Dictionary
A curve; one of the conic sections. It is approximately represented by a small arc of a circle, but if extended becomes rapidly deeper than a half circle. If, from a point within called the focus, lines are drawn to the curve and then other lines are drawn from these points parallel to the axis, the angles of incidence will he equal to the angles of reflection as referred to tangents at the points where the lines touch the curve. [Transcriber's note; The general equation of a parabola is A*x^2 + B*x*y + C*y^2 + D*x + E*y + F = 0 such that B^2 = 4*A*C, all of the coefficients are real, and A and C are not zero. A parabola positioned at the origin and symmetrical on the y axis is simplified to y = a*x^2 ]
The numerical value of parabola in Chaldean Numerology is: 7
The numerical value of parabola in Pythagorean Numerology is: 3
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Translations for parabola
From our Multilingual Translation Dictionary
- القطع المكافئ هندسةArabic
- paràbolaCatalan, Valencian
- 抛物線, 포물선Korean
- пара̀бола, paràbolaSerbo-Croatian
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