Knowra Point (geometry) Point (geometry) A point is an exact position with no dimensions: it has no length, area, or volume. Geometry represents points through coordinates or relations to other objects.
Euclidean geometry : A geometric system built around points, lines, planes, distance, and familiar postulates. Its axioms describe how points relate to lines and planes.
Cartesian coordinate system : A coordinate system that locates points using signed distances from perpendicular axes. It represents points in the plane as ordered pairs.
Geometric figure : A set of points arranged according to a geometric condition or structure. A figure can contain many points, while a point itself has no spatial extent.
Computer graphics : The computational creation and manipulation of visual images. Graphics systems store and transform points to define shapes and scenes.
Coordinate system : A convention that assigns numbers to positions relative to chosen axes or origins. Coordinates turn a point’s position into an ordered set of numbers.
Homogeneous coordinates : An extra-coordinate representation that encodes projective points up to nonzero scale. They represent points at infinity alongside ordinary points in projective geometry.
Vector : A mathematical quantity with magnitude and direction, often represented by an ordered tuple. A vector can describe displacement between points, but is not itself a position.
Geodesy : The science of measuring Earth’s shape, orientation, and gravity field. Geodesy expresses surveyed locations as points on Earth or in coordinate frames.
Line (geometry) : A straight, one-dimensional geometric object extending without end in both directions. Two distinct points determine a unique line in Euclidean geometry.
Barycentric coordinates : Coordinates that locate a point using weighted combinations of a simplex’s vertices. They locate points relative to a triangle or other simplex without selecting axes.
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