Precalculus
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Curve
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Analytic geometry
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Algebraic curve
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Euclidean solid geometry
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Five points determine a conic
Degenerate conic
Birational geometry
Conic section
In mathematics, a conic section (or just conic) is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. In analytic geometry, a conic may be...
Conic section - Wikipedia
Degenerate conic
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Parabola
Conic section - Wikipedia
Pi Day Hits a Milestone That Comes Only Once a Century: 3/14/15
Pi Day was dreamed up 27 years ago to celebrate 3.14 on 3/14, but this year the geek dial is being turned up to 15 — as in 3/14/15. And this'll be the only year until 2115 that you can turn the dial u...
Matrix representation of conic sections - Slideshow
Degenerate conic
In mathematics, a degenerate conic is a conic (a second-degree plane curve, the points of which satisfy an equation that is quadratic in one or the other or both variables) that fails to be an irreduc...
Parabola
A parabola (/pəˈræbələ/; plural parabolas or parabolae, adjective parabolic, from Greek: παραβολή) is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as ...
Parabola - Wikipedia
Pi Day Hits a Milestone That Comes Only Once a Century: 3/14/15
Pi Day was dreamed up 27 years ago to celebrate 3.14 on 3/14, but this year the geek dial is being turned up to 15 — as in 3/14/15. And this'll be the only year until 2115 that you can turn the dial u...
Semi-minor axis
In geometry, the semi-minor axis (also semiminor axis) is a line segment associated with most conic sections (that is, with ellipses and hyperbolas) that is at right angles with the semi-major axis an...
Semi-minor axis - Wikipedia
Linear system of conics
In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of paramet...
Circle
A circle is a simple shape in Euclidean geometry. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point...
Circle - Wikipedia
Villarceau circles
In geometry, Villarceau circles /viːlɑrˈsoʊ/ are a pair of circles produced by cutting a torus diagonally through the center at the correct angle. Given an arbitrary point on a torus, four circles can...
Villarceau circles - Wikipedia
Conic constant
In geometry, the conic constant (or Schwarzschild constant, after Karl Schwarzschild) is a quantity describing conic sections, and is represented by the letter K. For negative K it is given...
Conic constant - Wikipedia
Braikenridge–Maclaurin theorem
In geometry, the Braikenridge–Maclaurin theorem, named for 18th century British mathematicians William Braikenridge and Colin Maclaurin (Mills 1984), is the converse to Pascal's theorem. It states th...
Braikenridge–Maclaurin theorem - Wikipedia
Hyperbola
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve, lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hype...
Hyperbola - Wikipedia
Pringles
Pringles is a brand of potato and wheat-based stackable snack chips owned by the Kellogg Company.Originally marketed as "Pringles Newfangled Potato Chips", Pringles are sold in more than 140 countries...
Pringles - Wikipedia
Focus (geometry)
In geometry, the foci (/ˈfoʊsaɪ/; singular focus) are a pair of special points with reference to which any of a variety of curves is constructed. For example, foci can be used in defining conic sectio...
Focus (geometry) - Wikipedia
Steiner's theorem (geometry)
The Steiner conic or more precisely Steiner's generation of a conic, named after the Swiss mathematician Jakob Steiner, is an alternative method to define a non-degenerate projective conic section in ...
Steiner's theorem (geometry) - Wikipedia
Parabola of safety
In classical mechanics and ballistics, the parabola of safety or safety parabola is the envelope of the parabolic trajectories of projectiles shot from a certain point with a given speed at different ...
Lambert's problem
In celestial mechanics Lambert's problem is concerned with the determination of an orbit from two position vectors and the time of flight, solved by Johann Heinrich Lambert. It has important applicati...
Lambert's problem - Wikipedia
Brianchon's theorem
In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting opposite vertices) meet in a single point. ...
Five points determine a conic
In Euclidean, non-projective geometry, just as two (distinct) points determine a line (a degree-1 plane curve), five points determine a conic (a degree-2 plane curve). There are additional subtleties ...
Five points determine a conic - Wikipedia
Semi-major axis
In geometry, the major axis of an ellipse is its longest diameter: line segment that runs through the center and both foci, with ends at the widest points of the perimeter. The semi-major axis is one ...
Semi-major axis - Wikipedia
Paraboloid
In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic.The elliptic paraboloid is shaped like an oval cup and can have a maximum...
Paraboloid - Wikipedia
Apollonian gasket
In mathematics, an Apollonian gasket or Apollonian net is a fractal generated from triples of circles, where each circle is tangent to the other two. It is named after Greek mathematician Apollonius o...
Apollonian gasket - Wikipedia
Cubic polynomial
In mathematics, a cubic function is a function of the formwhere a is nonzero. In other words, a cubic function is defined by a polynomial of degree three.Setting ƒ(x) = 0 produces a cubic eq...
Cubic polynomial - Wikipedia
Distance of closest approach of ellipses and ellipsoids
The distance of closest approach of two objects is the distance between their centers when they are externally tangent. The objects may be geometric shapes or physical particles with well defined boun...
Distance of closest approach of ellipses and ellipsoids - Wikipedia
Meridian arc
In geodesy, a meridian arc measurement is the distance between two points with the same longitude, i.e., a segment of a meridian curve or its length. Two or more such determinations at different locat...
Eccentricity (mathematics)
In mathematics, the eccentricity, denoted e or , is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular.In par...
Eccentricity (mathematics) - Wikipedia
Biarc
A biarc is a model commonly used in geometric modeling and computer graphics that is composed of two consecutive circular arcs with an identical tangent at the connecting point. Since the tangents at ...
Alternating polynomials
In algebra, an alternating polynomial is a polynomial such that if one switches any two of the variables, the polynomial changes sign:Equivalently, if one permutes the variables, the polynomial chang...
Osculating circle
In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair...
Osculating circle - Wikipedia