In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae...

Elliptic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional elliptic coordinate...

Sometimes this is called an elliptic coordinate system on the sphere, by analogy to a planar elliptic coordinate system. Such coordinates can be used...

orthogonal coordinate system ( λ , μ , ν ) {\displaystyle (\lambda ,\mu ,\nu )} that generalizes the two-dimensional elliptic coordinate system. Unlike most...

coordinates are a two-dimensional orthogonal coordinate system based on the Apollonian circles. There is also a third system, based on two poles (biangular coordinates)...

three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse...

three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the...

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC...

Confocal conic sections Circumconic and inconic Director circle Elliptic coordinate system Equidistant set Parabolic coordinates Quadratic function Spherical...

the current loop. Angular momentum Specific angular momentum Elliptic coordinate system Houde, Martin (November 10, 2005). "Chapter 6. Central Force Motion"...

In astronomy, coordinate systems are used for specifying positions of celestial objects (satellites, planets, stars, galaxies, etc.) relative to a given...

The perifocal coordinate (PQW) system is a frame of reference for an orbit. The frame is centered at the focus of the orbit, i.e. the celestial body about...

polar stereographic (UPS) coordinate system is used in conjunction with the universal transverse Mercator (UTM) coordinate system to locate positions on...

The orthogonal net of ellipses and hyperbolas is the base of an elliptic coordinate system. A parabola has only one focus, and can be considered as a limit...

mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined...

is oriented with north up. In most applications the Gauss–Krüger coordinate system is applied to a narrow strip near the central meridians where the...

parabola directed by a second parabola. In a suitable Cartesian coordinate system, an elliptic paraboloid has the equation z = x 2 a 2 + y 2 b 2 . {\displaystyle...

motion and/or for supplying their electronic consoles and resistance systems. Elliptical riders use an arrangement of links known to the kinematics community...

mathematics, an elliptic partial differential equation is a type of partial differential equation (PDE). In mathematical modeling, elliptic PDEs are frequently...

{O}}\end{aligned}}} For elliptic curves of the form E: y2 = x3 + ax + b, negation is a point with the same x coordinate but negated y coordinate: ( x , y ) + (...

Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...

^{g}x^{i}=0.\,} where ∆g is the Laplace–Beltrami operator. Trivially, the coordinate system is harmonic if and only if, as a map U → ℝn, the coordinates are a...

generalize two-dimensional parabolic coordinates. They possess elliptic paraboloids as one-coordinate surfaces. As such, they should be distinguished from parabolic...

analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic...

to be easily represented by a matrix. They are also used in fundamental elliptic curve cryptography algorithms. If homogeneous coordinates of a point are...

In astrodynamics or celestial mechanics, an elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the...

A highly elliptical orbit (HEO) is an elliptic orbit with high eccentricity, usually referring to one around Earth. Examples of inclined HEO orbits include...

coordinate system is called a Cartesian plane. The set R 2 {\displaystyle \mathbb {R} ^{2}} of the ordered pairs of real numbers (the real coordinate...

a binary star system, we define: the vector r is the position of one body relative to the other r, v, and in the case of an elliptic orbit, the semi-major...

three-dimensional Cartesian coordinates (x, y, z) is an orthogonal coordinate system, since its coordinate surfaces x = constant, y = constant, and z = constant are...