a line is a set of all points that?
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The set of all points in a plane that are equidistant from a given point and a given line is a parabola.
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A line segment is a part of a line that has two defined endpoints. A line segment represents a collection of points inside the endpoints and it is named by its endpoints. ... A ray is named by its endpoint and by another point on the line.
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Coplanar points are three or more points which all lie in the same plane. Any set of three points in space is coplanar. A set of four points may be coplanar or may be not coplanar.
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The equation of a line given two points (x1, y1) and (x2, y2) through which the line passes is given by, ((y - y1)/(x - x1)) / ((y2 - y1)/(x2 - x1)).
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A set is a well-defined collection of objects. Each object in a set is called an element of the set. Two sets are equal if they have exactly the same elements in them. ... If every element in Set A is also in Set B, then Set A is a subset of Set B.
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A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is sometimes called a straight line or, more archaically, a right line (Casey 1893), to emphasize that it has no "wiggles" anywhere along its length. ... Consider first lines in a two-dimensional plane.
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['Point. A point is basically a location or a position in space or on a plane. ... ', 'Angles. An angle is defined as the inclination of one line with respect to the other at the point of their intersection. ... ', 'Curve. A curve is a 1-dimensional entity which can be a straight line or a curved entity. ... ', 'Surface.']
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d : a set A is closed if every limit point of A is an element of it. ... If M is a metric space then every subset A={x1,…,xn}⊆M is closed. In fact, if a∉A then d(a,A) is the least of the numbers d(a,x1),…,d(a,xn) thus, d(a,A)>0.
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Draw four points, A, B, C, and D, on a line so that AC and AB are opposite rays and AC and AD are the same ray.
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['A straight line segment may be drawn from any given point to any other.', 'A straight line may be extended to any finite length.', 'A circle may be described with any given point as its center and any distance as its radius.', 'All right angles are congruent.']
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An ellipse is the set of points in a plane for which the sum of the distances from two fixed points is a given constant. The two fixed points are the focal points of the ellipse; the line passing through the focal points is called the axis. The points of intersection of the axes and the ellipse are called the vertices.
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End Point. more ... Any of the two furthest points on a line segment. (Or generally any of the furthest points on anything.) See: Line Segment.
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A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
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A graph data structure consists of a finite (and possibly mutable) set of vertices (also called nodes or points), together with a set of unordered pairs of these vertices for an undirected graph or a set of ordered pairs for a directed graph.
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The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
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The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.
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Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. ... Coplanar points: A group of points that lie in the same plane are coplanar.