Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 71. Chapters: Cartesian coordinate system, Spherical coordinate system, Abscissa, Polar coordinate system, Cylindrical coordinate system, Curvilinear coordinates, Geodetic system, Plücker coordinates, Del in cylindrical and spherical coordinates, Orthogonal coordinates, Oblate spheroidal coordinates, Synchronous frame, Toroidal coordinates, Prolate spheroidal coordinates, Log-polar coordinates, List of common coordinate transformations, Elliptic cylindrical coordinates, Vector fields in cylindrical and spherical coordinates, Line coordinates, Elliptic coordinate system, Parabolic cylindrical coordinates, Skew coordinates, Parabolic coordinates, Hyperbolic coordinates, Bipolar coordinates, Trilinear coordinates, Ellipsoidal coordinates, Bispherical coordinates, Bipolar cylindrical coordinates, Canonical coordinates, Paraboloidal coordinates, Parametrization, Conical coordinates, Jacobi coordinates, Quadray coordinates, Synergetics coordinates, Toroidal and poloidal, Pedal coordinates, Two-center bipolar coordinates, Blau space, Alpha-numeric grid, Geocentric coordinates, SK-42 Reference System, Biangular coordinates, Astronomical coordinate systems, 6-sphere coordinates, Center of mass coordinates, Cosmic time, Identity line, Triangular coordinates. Excerpt: Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back. The name curvilinear coordinates, coined by the French mathematician Lamé, derives from the fact that the coordinate surfaces of the curvilinear systems are curved. In two dimensional Cartesian ...
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 71. Chapters: Cartesian coordinate system, Spherical coordinate system, Abscissa, Polar coordinate system, Cylindrical coordinate system, Curvilinear coordinates, Geodetic system, Plücker coordinates, Del in cylindrical and spherical coordinates, Orthogonal coordinates, Oblate spheroidal coordinates, Synchronous frame, Toroidal coordinates, Prolate spheroidal coordinates, Log-polar coordinates, List of common coordinate transformations, Elliptic cylindrical coordinates, Vector fields in cylindrical and spherical coordinates, Line coordinates, Elliptic coordinate system, Parabolic cylindrical coordinates, Skew coordinates, Parabolic coordinates, Hyperbolic coordinates, Bipolar coordinates, Trilinear coordinates, Ellipsoidal coordinates, Bispherical coordinates, Bipolar cylindrical coordinates, Canonical coordinates, Paraboloidal coordinates, Parametrization, Conical coordinates, Jacobi coordinates, Quadray coordinates, Synergetics coordinates, Toroidal and poloidal, Pedal coordinates, Two-center bipolar coordinates, Blau space, Alpha-numeric grid, Geocentric coordinates, SK-42 Reference System, Biangular coordinates, Astronomical coordinate systems, 6-sphere coordinates, Center of mass coordinates, Cosmic time, Identity line, Triangular coordinates. Excerpt: Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back. The name curvilinear coordinates, coined by the French mathematician Lamé, derives from the fact that the coordinate surfaces of the curvilinear systems are curved. In two dimensional Cartesian ...
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