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Plane curve: conic section
In mathematics, a parabola (/pəˈræbələ/ pə-RA-bə-lə) is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially
Parabola
2001 song by Tool
Wikiquote has quotations related to Parabola (song). "Parabola" is a song by American rock band Tool. The song was released as the second single from their
Parabola_(song)
Topics referred to by the same term
Look up parabola, parábola, paràbola, or parabolă in Wiktionary, the free dictionary. Look up parabole, parabolé, or parabolë in Wiktionary, the free
Parabola_(disambiguation)
Linux distribution based on Arch Linux offering only free software
Parabola GNU/Linux-libre is a free and open-source Linux distribution based on Arch Linux and Arch Linux ARM for the x86-64, i686, and ARMv7 architectures
Parabola_GNU/Linux-libre
Cubic plane curve
In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form y 2 − a 2 x 3 = 0 y^{2}-a^{2}x^{3}=0
Semicubical_parabola
Magazine on the subjects of mythology and the world's religious and cultural traditions
Parabola, also known as Parabola: The Search for Meaning, was a Manhattan-based quarterly magazine on the subjects of mythology and the world's religious
Parabola_(magazine)
17th century Rosicrucian allegory
The Parabola Allegory is a Rosicrucian allegory, of unknown authorship, dating from the latter part of the seventeenth century. It is sometimes attributed
Parabola_Allegory
Curve from a cone intersecting a plane
intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though it
Conic_section
Geometric treatise by Archimedes
Quadrature of the Parabola (Greek: Τετραγωνισμὸς παραβολῆς) is a treatise on geometry, written by Archimedes in the 3rd century BC and addressed to his
Quadrature_of_the_Parabola
Canadian cinema production company
Parabola Films is a Montreal-based Canadian cinema production company founded by Sarah Spring and Selin Murat, a documentary filmmaker. Parabola Films
Parabola_Films
Mathematical treatise by Archimedes
work, the center of mass of a parabola. Consider the parabola in the figure to the right. Pick two points on the parabola and call them A and B. Suppose
The Method of Mechanical Theorems
The_Method_of_Mechanical_Theorems
Species of gastropod
Nannamoria parabola is a species of sea snail, a marine gastropod mollusk in the family Volutidae, the volutes. Nannamoria parabola Garrard, 1960. Retrieved
Nannamoria_parabola
In classical mechanics and ballistics, the parabola of safety or safety parabola is the envelope of the parabolic trajectories of projectiles shot from
Parabola_of_safety
Formula to quantify column buckling under a given load
given by Euler's formula. It creates a new failure border by fitting a parabola to the graph of failure for Euler buckling using σ c r = σ y − 1 E ( σ
Johnson's_parabolic_formula
All points for which two tangents of a curve intersect at 90° angles
tangents of a given curve meet at a right angle. Examples: The orthoptic of a parabola is its directrix (proof: see below), The orthoptic of an ellipse x 2 a
Orthoptic_(geometry)
Greek mathematician and physicist (c. 287 – 212 BC)
area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a
Archimedes
Species of moth
Parabola is a monotypic moth genus in the family Gelechiidae erected by Anthonie Johannes Theodorus Janse in 1950. Its only species, Parabola butyraula
Parabola_butyraula
Geometric point from which certain types of curves are constructed
defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval
Focus_(geometry)
Conic curves associated with a triangle
hyperbola, called the Kiepert hyperbola and the other is a parabola, called the Kiepert parabola. The Kiepert conics are defined as follows: If the three
Kiepert_conics
Explanation for the rates of electron transfer reactions
the parabola smaller. It is formally always possible to close the parabola in Fig. 2 to such an extent, that the f-parabola intersects the i-parabola in
Marcus_theory
Function describing an electron in an atom
In quantum mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom. This function describes
Atomic_orbital
Conic plane curve associated with a given triangle
and the orthocentre of the reference triangle; and the Artzt parabolas, which are parabolas touching two sidelines of the reference triangle at vertices
Triangle_conic
Polynomial equation of degree two
is called a parabola. The location and size of the parabola, and how it opens, depend on the values of a, b, and c. If a > 0, the parabola has a minimum
Quadratic_equation
Plane region bounded by three parabolas
instead of three half circles it uses three parabola segments. More precisely the parbelos consists of three parabola segments, that have a height that is one
Parbelos
Quadric surface with one axis of symmetry and no center of symmetry
symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry
Paraboloid
Centers of curvature of a curve
the diagram: The blue parabola is an involute of the red semicubic parabola, which is actually the evolute of the blue parabola.) Proof of the last property:
Evolute
Species of moth
Metathrinca parabola is a moth in the family Xyloryctidae. It was described by Edward Meyrick in 1914. It is found in southern India. The wingspan is about
Metathrinca_parabola
Type of plane curve
cusp. It is also a type of sinusoidal spiral, and an inverse curve of the parabola with the focus as the center of inversion. It can also be defined as the
Cardioid
Number raised to the third power
one-third power. The graph of the cube function is known as the cubic parabola. Because the cube function is an odd function, this curve has a center
Cube_(algebra)
Relationship between two lines that meet at a right angle
the axis intersects the parabola. From a point on the tangent line to a parabola's vertex, the other tangent line to the parabola is perpendicular to the
Perpendicular
Polynomial function of degree two
quadratic. The graph of a real single-variable quadratic function is a parabola. If a quadratic function is equated with zero, then the result is a quadratic
Quadratic_function
Mathematical measure of how much a curve or surface deviates from flatness
)}{\vphantom {'}}^{3/2}}}={\frac {1}{r}}.\end{aligned}}} Consider the parabola y = ax2 + bx + c. It is the graph of a function, with derivative 2ax +
Curvature
Curve of a specific cubic implicit function
In mathematics, a trident curve (also trident of Newton or parabola of Descartes) is any member of the family of curves that have the formula: x y + a
Trident_curve
Cubic plane curve
circles whose centers lie on a parabola and which pass through the vertex of the parabola. Also, if two congruent parabolas are set vertex-to-vertex and
Cissoid_of_Diocles
Electronic writer tablet
created. An alternative free operating system, Parabola-rM, has been made to replace Codex. Parabola-rM aims to turn the device into a full-fledged computer
ReMarkable
2002 song by Tool
Maynard James Keenan Producers Tool David Bottrill Tool singles chronology "Parabola" (2002) "Lateralus" (2002) "Vicarious" (2006) Audio sample Excerpt of "Lateralus"
Lateralus_(song)
Curve formed by a hanging chain
catenary curve has a U-like shape, superficially similar in appearance to a parabola. The curve appears in the design of certain types of arches and as a cross
Catenary
4th-century BC Greek mathematician
ellipse, the parabola, and the hyperbola, as a by-product of his search for the solution to the Delian problem. Menaechmus knew that in a parabola y2 = Lx
Menaechmus
Equation for quantifying the effect of stress cycles on the working life of a material
on an amplitude versus mean stress plot can often be approximated by a parabola known as the Gerber line, which can in turn be (conservatively) approximated
Goodman_relation
1673 book on pendular motion by Christiaan Huygens
in the manner of Archimedes, to rectify curves such as the cycloid, the parabola, and other higher order curves. The following propositions are covered
Horologium_Oscillatorium
Characteristic of conic sections
eccentricity of a non-circular ellipse is between 0 and 1. The eccentricity of a parabola is 1. The eccentricity of a hyperbola is greater than 1. The eccentricity
Eccentricity_(mathematics)
Organization supporting the free software movement
Dragora GNU/Linux-Libre dyne:bolic GNU Guix System Hyperbola GNU/Linux-libre Parabola GNU/Linux-libre PureOS Trisquel LibreCMC ProteanOS The project also maintains
Free_Software_Foundation
2001 studio album by Tool
complex and long songs—topped by the ten-and-a-half minute music video for "Parabola"—posed a challenge to fans and music programming alike. Drummer Danny Carey
Lateralus
Reflector that has the shape of a paraboloid
circular paraboloid, that is, the surface generated by a 2-dimensional parabola revolving around its axis. The parabolic reflector transforms an incoming
Parabolic_reflector
Formula that provides the solutions to a quadratic equation
function y = a x 2 + b x + c {\displaystyle \textstyle y=ax^{2}+bx+c} , a parabola, crosses the x {\displaystyle x} -axis: the graph's x {\displaystyle
Quadratic_formula
Infinite series summable to 1/3
encounters the series in his work Quadrature of the Parabola. He finds the area inside a parabola by the method of exhaustion, and he gets a series of
1/4_+_1/16_+_1/64_+_1/256_+_⋯
Type of curve in hyperbolic geometry
the half-plane H with Im P > 0. Then the vertex of each parabola will be in H, and the parabola is symmetric about the line through the vertex perpendicular
Hypercycle_(geometry)
Plane curve: conic section
intersection of a plane and a double cone. (The other conic sections are the parabola and the ellipse, with the circle being a special type of ellipse.) If the
Hyperbola
Mathematical idealization of the trace left by a moving point
Indeterminate (lines that extend indefinitely, such as the straight line and the parabola) The Greek geometers had studied many other kinds of curves. One reason
Curve
2 December 2025. Retrieved 8 December 2025. "Get Parabola". parabola.nu. "Get Parabola". Parabola project. "Pardus 25 BİLGE Yayımlandı!" (in Turkish)
Comparison of Linux distributions
Comparison_of_Linux_distributions
Japanese mixed-media project
(September 1, 2024). "Utagoe wa Mille-Feuille Project Reveals Cast for New 'Parabola' Group". Anime News Network. Retrieved September 2, 2024. Cayanan, Joanna
Harmony_of_Mille-Feuille
Suite of system components for Linux
announcement". Dev@lists.parabola.nu (Mailing list). Archived from the original on 5 August 2017. Retrieved 5 August 2017. "notsystemd". Parabola GNU/Linux-libre
Systemd
1979 studio album by Gil Evans Orchestra
Parabola is a double album by jazz composer, arranger, conductor and pianist Gil Evans recorded in Italy in 1978 by Evans with an orchestra featuring Arthur
Parabola_(album)
Divergent series
The first four partial sums of the series 1 + 2 + 3 + 4 + ⋯. The parabola is their smoothed asymptote; its y-intercept is −1/12.
1_+_2_+_3_+_4_+_⋯
Type of arch shape
A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges
Parabolic_arch
Mathematical term in calculus
y = xn. Traditionally important cases are y = x2, the quadrature of the parabola, known in antiquity, and y = 1/x, the quadrature of the hyperbola, whose
Cavalieri's quadrature formula
Cavalieri's_quadrature_formula
Conic sections with the same foci
hyperbola orthogonally (at right angles). Parabolas have only one focus, so, by convention, confocal parabolas have the same focus and the same axis of
Confocal_conic_sections
Method for numerical integration
{a+b}{2}}\right)+f(b)\right].} Consider finding the area under a general parabola y = a x 2 + b x + c {\displaystyle y=ax^{2}+bx+c} between x = − h {\displaystyle
Simpson's_rule
Designing buildings to use the sun's heat and light
efficiency. A customer who wants high temperatures will prefer the solar parabola, giving 200 °C (573 K) with 70–85% efficiency. Do it yourself photothermic
Solar_architecture
Retarding force on a body moving in a fluid
The black object does not experience any form of drag and moves along a parabola. The blue object experiences Stokes' drag, and the green object Newton
Drag_(physics)
Mathematical curves generated by rolling other curves together
A green parabola rolls along an equal blue parabola which remains fixed. The generator is the vertex of the rolling parabola and describes the roulette
Roulette_(curve)
Curve traced by a string as it is unwrapped from another curve
showing that this involute is a parabola. The other involutes are thus parallel curves of a parabola, and are not parabolas, as they are curves of degree
Involute
Band discography
"Schism – Tool". AllMusic. Retrieved February 6, 2014. Theakston, Rob. "Parabola – Tool". AllMusic. Retrieved February 6, 2014. "Vicarious – Tool". AllMusic
Tool_discography
Architectural pointed arch that follows an inverted catenary curve
designs (parabola, catenary, and weighted catenary) look similar, and match at shallow profiles, so a catenary is often misclassified as a parabola (per Galileo
Catenary_arch
American musician and artist
videos, such as "Sober", "Prison Sex", "Stinkfist", "Ænema", "Schism", "Parabola", and "Vicarious". He graduated[where?] in 1987. After graduation, he went
Adam_Jones_(musician)
Sum of an (infinite) geometric progression
mathematicians, for example used by Archimedes to calculate the area inside a parabola (3rd century BCE). Today, geometric series are used in mathematical finance
Geometric_series
or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to a function of one variable at three unique
Successive parabolic interpolation
Successive_parabolic_interpolation
Free software collection
GNU Project has endorsed Linux-libre distributions, such as Trisquel, Parabola GNU/Linux-libre, PureOS and GNU Guix System. Whether the combination of
GNU
Type of scatter plot
a parabola whose arms reach upwards on the right and left sides. The upper bound of the data is one parabola and the lower bound is another parabola. Jin
Volcano_plot_(statistics)
American astronaut (born 1930)
experience of weightlessness in training, but there was a delay between each parabola which gave astronauts several minutes of rest. It also encouraged performing
Buzz_Aldrin
Right conoid ruled surface
through points of a fixed parabola and are perpendicular to a fixed straight line which is parallel to the axis of the parabola and lies on its perpendicular
Whitney_umbrella
Fractal curve resembling a blancmange pudding
For w = 1 / 4 {\displaystyle w=1/4} , one obtains the parabola: the construction of the parabola by midpoint subdivision was described by Archimedes. For
Blancmange_curve
which resemble modern day concepts somewhat in his The Quadrature of the Parabola, The Method, and On the Sphere and Cylinder. It should not be thought that
History_of_calculus
Version of the Linux kernel without proprietary code
Dragora GNU/Linux-Libre dyne:bolic GNU Guix System Hyperbola GNU/Linux-libre Parabola GNU/Linux-libre Considered small distributions libreCMC ProteanOS (If the
Linux-libre
Methods of calculating definite integrals
of the circle, Lune of Hippocrates, and the treatise Quadrature of the Parabola. This construction must be performed only by means of compass and straightedge
Numerical_integration
Two-dimensional orthogonal coordinate system
orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version of parabolic coordinates is obtained by rotating
Parabolic_coordinates
Software rebranding due to trademark issues
History". Parabola Wiki. Parabola GNU/Linux-libre Hackers. 25 June 2020. Retrieved 8 February 2021. The Gnuzilla, Connochaetos, and Parabola web browsers
Debian–Mozilla trademark dispute
Debian–Mozilla_trademark_dispute
Chart indicator
strength of the trend. A parabola below the price is generally bullish, while a parabola above is generally bearish. A parabola below the price may be used
Parabolic_SAR
World's largest solar furnace
then sent to a second series of mirrors (the concentrators), placed in a parabola and eventually converging on a circular target, 40 cm in diameter, on top
Odeillo_solar_furnace
American craft brewery
"Reviewed: Firestone Walker Parabola 2021 • thefullpint.com". The Full Pint - Craft Beer News. Retrieved 2021-12-13. "Parabola | Firestone Walker Brewing
Firestone Walker Brewing Company
Firestone_Walker_Brewing_Company
Church in Rome, Italy
of the building is complex. The entrance façade is dominated by a white parabola, decorated with four rows of unusually shaped windows resembling stretched
Sacro Cuore di Gesù agonizzante a Vitinia
Sacro_Cuore_di_Gesù_agonizzante_a_Vitinia
Division of something into two equal or congruent parts
formed where the extensions of opposite sides intersect. The tangent to a parabola at any point bisects the angle between the line joining the point to the
Bisection
Aquarium in Valencia, Spain
engineers Alberto Domingo and Carlos Lázaro. The distinctive hyperbolic parabola (hypars) shape of the roof is reminiscent of the Los Manantiales Restaurant
L'Oceanogràfic
Albanian-American business executive
Salvioli, Luca (27 September 2024). "Dall'Albania a OpenAI e l'addio: la parabola di Mira Murati, ceo per soli tre giorni" [From Albania to OpenAI and goodbye:
Mira_Murati
Motion of launched objects due to gravity
prove the parabolic form of projectile motion. A ballistic trajectory is a parabola with homogeneous acceleration, such as in a space ship with constant acceleration
Projectile_motion
Triangle center
△ABC intersect in two points. One of them is the focus of the Kiepert parabola of △ABC. The other point of intersection is called the Parry point of △ABC
Parry_point_(triangle)
Ancient Greek geometer and astronomer (c. 240–190 BC)
invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. With his predecessors Euclid
Apollonius_of_Perga
Algorithm for finding roots of a function
iterative approximations, constructs a parabola through these three points, and then uses a root of the parabola as the next approximation at every iteration
Muller's_method
Indonesian media and entertainment company
Ajwa TV, and Mentari TV, as well as the Vidio streaming service, Nex Parabola satellite pay television, and KapanLagi Youniverse. Surya Citra shares
Surya_Citra_Media
Least squares approximation of linear functions to data
is a solution. Suppose that the hypothetical researcher wishes to fit a parabola of the form y = β 1 x 2 {\displaystyle y=\beta _{1}x^{2}} . Importantly
Linear_least_squares
Ruled surface made of lines parallel to a plane and intersecting an axis
the equation z = − x y 2 {\displaystyle z=-xy^{2}} . The conoid has a parabola as directrix, the y-axis as axis and a plane parallel to the x-z-plane
Conoid
Collinearity of the midpoints of parallel chords in a conic
circle, ellipse or hyperbola the diameter goes through its center. For a parabola the diameter is always perpendicular to its directrix and for a pair of
Midpoint_theorem_(conics)
and include Circle Unit circle Ellipse Parabola Hyperbola Unit hyperbola Cubic plane curves include Cubic parabola Folium of Descartes Cissoid of Diocles
List_of_curves
Circle of immediate corresponding curvature of a curve at a point
within each other. This result is known as the Tait-Kneser theorem. For the parabola γ ( t ) = [ t t 2 ] {\displaystyle \gamma (t)={\begin{bmatrix}t\\t^{2}\end{bmatrix}}}
Osculating_circle
Flaw in mathematical modelling
not resembling the curvature of the points. One would expect to see a parabola-shaped line as shown in Figure 6 and Figure 1. If Figure 5 were to be used
Overfitting
Unique point and line of a conic section
from circles to other conic sections which are the ellipse, hyperbola and parabola. This generalization is possible because conic sections result from a reciprocation
Pole_and_polar
Free and open source FTP software
repositories of many Linux distributions, including Debian, Ubuntu, Trisquel and Parabola GNU/Linux-libre. In January 2012, CNET gave FileZilla their highest rating
FileZilla
Curve external to a family of curves in geometry
and expansion and simplification, which is apparently the equation for a parabola with axis along a = 0 {\displaystyle a=0} , or y = x {\displaystyle y=x}
Envelope_(mathematics)
Firefox derivative containing only free software
binary and source packages through their repositories, such as Trisquel, Parabola GNU/Linux-libre and Fedora. As of 2024[update], there are unofficial IceCat
GNU_IceCat
Curve which could be used to trisect an angle with compass and straightedge
cubic) Deslanges trisectrix Cubic parabola (the graph of the cube function) Hyperbola with eccentricity 2 Parabola Cycloid of Ceva A related concept is
Trisectrix
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