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Given distinct points A and B, they determine a unique ray with initial point A. As two points define a unique line, this ray consists of all the points between A and B (including A and B) and all the points C on the line through A and B such that B is between A and C. [12]
When two cells in the Voronoi diagram share a boundary, it is a line segment, ray, or line, consisting of all the points in the plane that are equidistant to their two nearest sites. The vertices of the diagram, where three or more of these boundaries meet, are the points that have three or more equally distant nearest sites.
Displacement d (yellow arrow) and moment m (green arrow) of two points x,y on a line (in red) A line L in 3-dimensional Euclidean space is determined by two distinct points that it contains, or by two distinct planes that contain it (a plane-plane intersection).
In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all; Intersection in exactly one point; Intersection in two points. Methods for distinguishing these cases, and determining the coordinates for the points in the latter cases, are useful in a number of circumstances. For example, it is a common calculation ...
The starting point is on the line (,) = only because the line is defined to start and end on integer coordinates (though it is entirely reasonable to want to draw a line with non-integer end points). Candidate point (2,2) in blue and two candidate points in green (3,2) and (3,3)
The line joining two self-conjugate points cannot be a self-conjugate line. A line cannot contain more than two self-conjugate points. A polarity induces an involution of conjugate points on any line that is not self-conjugate. A triangle in which each vertex is the pole of the opposite side is called a self-polar triangle.
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It can only be used to draw a line segment between two points, or to extend an existing line segment. The compass can have an arbitrarily large radius with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point on the circle. The compass may or may ...