The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean...

the distance from a point to a plane is the distance between a given point and its orthogonal projection on the plane, the perpendicular distance to the...

computing distances between different types of objects, such as the distance from a point to a line. In advanced mathematics, the concept of distance has been...

distance from the Earth. The same sense of distance is used in Euclidean geometry to define distance from a point to a line, distance from a point to...

distance from a point to a line is the distance to the nearest point on that line. That is the point at which a segment from it to the given point is perpendicular...

point of the Euclidean plane; or a directrix, whose distance from a point helps to establish whether the point is on the conic. a coordinate line, a linear...

trilinear coordinates x : y : z of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle...

In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line. Distinguishing these cases and finding the...

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...

A distance line, penetration line, cave line, wreck line or guide line is an item of diving equipment used by scuba divers as a means of returning to...

distance from a point to a line is the distance to the nearest point on that line. That is the point at which a segment from it to the given point is perpendicular...

the basket. Every three-point line becomes parallel to each sideline at the points where each arc is a specified distance from the sideline. In both the...

intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel...

^{3}} , or a hyperplane in higher dimensions. It is primarily used for calculating distances (see point-plane distance and point-line distance). It is written...

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...

which can all be proved to define exactly the same curves. One description of a parabola involves a point (the focus) and a line (the directrix). The focus...

geometry. Distance between a pair of line segments. It cannot be expressed by a single formula, unlike, e.g., the distance from a point to a line. Its calculation...

on the three-point line that are directly to the left and right of the basket center. The NCAA three-point line is the same distance from the center of...

the radial distance r along the line connecting the point to a fixed point called the origin; the polar angle θ between this radial line and a given polar...

The Mahalanobis distance is a measure of the distance between a point P {\displaystyle P} and a probability distribution D {\displaystyle D} , introduced...

tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz...

which a point may be located or on which it moves. Thus a circle in the Euclidean plane was defined as the locus of a point that is at a given distance of...

equidistant (i.e. the distance from each point on one line to the other line is always the same.) Triangle area property: The area of a triangle can be as...

coming from Euclidean distance in the Poincaré disk model with one point at the origin, analogous to finding arclength on the sphere by taking a stereographic...

image of an electric point dipole is a bit more complicated. If the dipole is pictured as two large charges separated by a small distance, then the image of...

example Distance from a point to a plane and Distance from a point to a line.) There is the distance between two flats, equal to 0 if they intersect. (See...

Wiktionary, the free dictionary. A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

rectus; here rectus means "upright", referring to the vertical perpendicular to a horizontal base line. Closely related and important geometrical concepts...

line from that point) to the origin; the y-coordinate is the signed distance from the point to the line, with the sign according to whether the point is...