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Learn how to calculate the perpendicular distance from a point to a line in Euclidean geometry using different methods and formulas. See examples, diagrams and proofs for various cases of lines defined by equations or points.
Euclidean distance is the length of the line segment between two points in Euclidean space. It can be calculated from the Cartesian coordinates using the Pythagorean theorem, and has various properties and applications in mathematics and statistics.
The haversine formula is a computationally efficient way to calculate the great-circle distance between two points on a sphere, using the chord length of unit sphere. It is accurate for short distances and avoids the rounding errors of the spherical law of cosines formula.
Learn how to calculate the great-circle distance between two points on a sphere using the haversine formula, a special case of the law of haversines. The article also explains the origin, formulation, and applications of the haversine formula in navigation and spherical trigonometry.
Learn how to calculate the distance between two points on the Earth's surface using different approximations and formulae. Compare flat, spherical and ellipsoidal models and their errors and limitations.
Vincenty's formulae are methods to calculate the distance and azimuth between two points on a spheroid. They are based on Legendre, Bessel and Helmert's formulas and are accurate to within 0.5 mm on the Earth ellipsoid.
Distance is a numerical or qualitative measurement of how far apart objects, points, people, or ideas are. Learn about different types of distances in physics, geometry, mathematics, and social sciences, with formulas, diagrams, and applications.
Chebyshev distance is a metric that measures the greatest difference between two points along any coordinate dimension. It is also known as chessboard distance, L∞ metric, or maximum metric, and has applications in logistics, CAM, and geometry.
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