Similarities between Conic section and Hyperbola
Conic section and Hyperbola have 31 things in common (in Unionpedia): Apollonius of Perga, Bijection, Cartesian coordinate system, Circle, Cone, Cylinder, Dandelin spheres, Degenerate conic, Determinant, Director circle, Doubling the cube, Eccentricity (mathematics), Ellipse, Elliptic coordinate system, Euclidean geometry, Focus (geometry), Hyperbolic geometry, Locus (mathematics), Mathematics, Matrix (mathematics), Menaechmus, Orbit, Pappus of Alexandria, Parabola, Pascal's theorem, Plane (geometry), Pole and polar, Quadratic equation, Quadric, Smoothness, ..., Steiner conic. Expand index (1 more) »
Apollonius of Perga
Apollonius of Perga (Ἀπολλώνιος ὁ Περγαῖος; Apollonius Pergaeus; late 3rdearly 2nd centuries BC) was a Greek geometer and astronomer known for his theories on the topic of conic sections.
Apollonius of Perga and Conic section · Apollonius of Perga and Hyperbola ·
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and Conic section · Bijection and Hyperbola ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Conic section · Cartesian coordinate system and Hyperbola ·
Circle
A circle is a simple closed shape.
Circle and Conic section · Circle and Hyperbola ·
Cone
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.
Cone and Conic section · Cone and Hyperbola ·
Cylinder
A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler"), has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.
Conic section and Cylinder · Cylinder and Hyperbola ·
Dandelin spheres
In geometry, the Dandelin spheres are one or two spheres that are tangent both to a plane and to a cone that intersects the plane.
Conic section and Dandelin spheres · Dandelin spheres and Hyperbola ·
Degenerate conic
In geometry, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Conic section and Degenerate conic · Degenerate conic and Hyperbola ·
Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
Conic section and Determinant · Determinant and Hyperbola ·
Director circle
In geometry, the director circle of an ellipse or hyperbola (also called the orthoptic circle or Fermat–Apollonius circle) is a circle consisting of all points where two perpendicular tangent lines to the ellipse or hyperbola cross each other.
Conic section and Director circle · Director circle and Hyperbola ·
Doubling the cube
Doubling the cube, also known as the Delian problem, is an ancient geometric problem.
Conic section and Doubling the cube · Doubling the cube and Hyperbola ·
Eccentricity (mathematics)
In mathematics, the eccentricity, denoted e or \varepsilon, is a parameter associated with every conic section.
Conic section and Eccentricity (mathematics) · Eccentricity (mathematics) and Hyperbola ·
Ellipse
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
Conic section and Ellipse · Ellipse and Hyperbola ·
Elliptic coordinate system
In geometry, the elliptic(al) coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae.
Conic section and Elliptic coordinate system · Elliptic coordinate system and Hyperbola ·
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
Conic section and Euclidean geometry · Euclidean geometry and Hyperbola ·
Focus (geometry)
In geometry, focuses or foci, singular focus, are special points with reference to which any of a variety of curves is constructed.
Conic section and Focus (geometry) · Focus (geometry) and Hyperbola ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
Conic section and Hyperbolic geometry · Hyperbola and Hyperbolic geometry ·
Locus (mathematics)
In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
Conic section and Locus (mathematics) · Hyperbola and Locus (mathematics) ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Conic section and Mathematics · Hyperbola and Mathematics ·
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Conic section and Matrix (mathematics) · Hyperbola and Matrix (mathematics) ·
Menaechmus
Menaechmus (Μέναιχμος, 380–320 BC) was an ancient Greek mathematician and geometer born in Alopeconnesus in the Thracian Chersonese, who was known for his friendship with the renowned philosopher Plato and for his apparent discovery of conic sections and his solution to the then-long-standing problem of doubling the cube using the parabola and hyperbola.
Conic section and Menaechmus · Hyperbola and Menaechmus ·
Orbit
In physics, an orbit is the gravitationally curved trajectory of an object, such as the trajectory of a planet around a star or a natural satellite around a planet.
Conic section and Orbit · Hyperbola and Orbit ·
Pappus of Alexandria
Pappus of Alexandria (Πάππος ὁ Ἀλεξανδρεύς; c. 290 – c. 350 AD) was one of the last great Greek mathematicians of Antiquity, known for his Synagoge (Συναγωγή) or Collection (c. 340), and for Pappus's hexagon theorem in projective geometry.
Conic section and Pappus of Alexandria · Hyperbola and Pappus of Alexandria ·
Parabola
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Conic section and Parabola · Hyperbola and Parabola ·
Pascal's theorem
In projective geometry, Pascal's theorem (also known as the hexagrammum mysticum theorem) states that if six arbitrary points are chosen on a conic (i.e., ellipse, parabola or hyperbola) and joined by line segments in any order to form a hexagon, then the three pairs of opposite sides of the hexagon (extended if necessary) meet in three points which lie on a straight line, called the Pascal line of the hexagon.
Conic section and Pascal's theorem · Hyperbola and Pascal's theorem ·
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
Conic section and Plane (geometry) · Hyperbola and Plane (geometry) ·
Pole and polar
In geometry, the pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section.
Conic section and Pole and polar · Hyperbola and Pole and polar ·
Quadratic equation
In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form where represents an unknown, and,, and represent known numbers such that is not equal to.
Conic section and Quadratic equation · Hyperbola and Quadratic equation ·
Quadric
In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).
Conic section and Quadric · Hyperbola and Quadric ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Conic section and Smoothness · Hyperbola and Smoothness ·
Steiner conic
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 a projective plane over a field.
Conic section and Steiner conic · Hyperbola and Steiner conic ·
The list above answers the following questions
- What Conic section and Hyperbola have in common
- What are the similarities between Conic section and Hyperbola
Conic section and Hyperbola Comparison
Conic section has 141 relations, while Hyperbola has 109. As they have in common 31, the Jaccard index is 12.40% = 31 / (141 + 109).
References
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