In Euclidean geometry, the distance from a point to a line is the shortest distance from a given point to any point on an infinite straight line. It is the perpendicular distance of the point to the line, the length of the line segment which joins the point to nearest point on the line. The algebraic expression for calculating it can be derived and expressed in several ways.
Knowing the distance from a point to a line can be useful in various situations—for example, finding the shortest distance to reach a road, quantifying the scatter on a graph, etc. In Deming regression, a type of linear curve fitting, if the dependent and independent variables have equal variance this results in orthogonal regression in which the degree of imperfection of the fit is measured for each data point as the perpendicular distance of the point from the regression line.
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Euclidean geometry, the distancefromapointtoaline is the shortest distancefroma given pointto any point on an infinite straight line. It is the perpendicular...
computing distances between different types of objects, such as the distancefromapointtoaline. In advanced mathematics, the concept of distance has been...
distance from a pointtoaline is the distanceto the nearest point on that line. That is the point at which a segment from it to the given point is perpendicular...
trilinear coordinates x : y : z of apoint relative toa given triangle describe the relative directed distancesfrom the three sidelines of the triangle...
Adistanceline, penetration line, cave line, dive reel or guide line is an item of diving equipment used by scuba divers as a means of returning to a...
distance from a pointtoaline is the distanceto the nearest point on that line. That is the point at which a segment from it to the given point is perpendicular...
the theoretical lineto which points on any horizontal plane converge (when projected onto the picture plane) as their distancefrom the observer increases...
on the three-pointline that are directly to the left and right of the basket center. The NCAA three-pointline is the same distancefrom the center of...
Oxford Journals. Archived from the original on 22 October 2012. Retrieved 20 March 2015. The units of length/distance are Å, nm, μm, mm, cm, m, km, au...
which can all be proved to define exactly the same curves. One description of a parabola involves apoint (the focus) and aline (the directrix). The focus...
In geometry, aline segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between...
tangent line (or simply tangent) toa plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz...
equidistant (i.e. the distancefrom each point on one lineto the other line is always the same.) Triangle area property: The area of a triangle can be as...
points on a sphere and passing through its center. Given any point on a sphere, its antipodal point is the unique point at greatest distance, whether measured...
the Earth's curvature, if the two points have horizontal distance x1 and x2 froma fixed point, the run is (x2 − x1) = Δx. The slope between the two points...
A circle is a shape consisting of all points in a plane that are at a given distancefroma given point, the centre. The distance between any point of...
on the Arctic Ocean pack ice at adistance farthest from any landmass. The original position was wrongly believed to lie at 84°3′N 174°51′W. It is not...
(r, θ, φ): the radial distance of the radial line r connecting the pointto the fixed point of origin (which is located on a fixed polar axis, or zenith...
Wiktionary, the free dictionary. Apoint is said to be equidistant froma set of objects if the distances between that point and each object in the set are...
parallel, the perpendicular distance between them is a constant, so it does not matter which point is chosen to measure the distance. Given the equations of...
based on line transects or point transects. In this method of sampling, the data collected are the distances of the objects being surveyed from these randomly...