# Geometry

**Geometry** (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement”) is the branch of mathematics whose primary subject is spatial relationships and shapes of bodies. Geometry studies spatial relationships and shapes while ignoring other properties of real bodies (density, weight, color, etc.).

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Non-Euclidean geometry means, in the literal sense — all geometric…

Learn more »A straight line segment can be drawn joining any two…

Learn more »A line segment is defined as a portion (set of…

Learn more »A ray, or half-line, is defined as the place of…

Learn more »In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular…

Learn more »Distance is defined to be the magnitude or size of displacement between…

Learn more »In order to describe the motion of an object, you…

Learn more »The displacement of an object is defined as the vector…

Learn more »A coordinate system is a system that uses one or…

Learn more »The term “cartesian coordinates” (also called rectangular coordinates) is used…

Learn more »The polar coordinate system is a two-dimensional coordinate system in…

Learn more »The term area is used also in a more general…

Learn more »Volume is the measure of space occupied by a three-dimensional…

Learn more »In geometrical optics, is called focus (or image point) the…

Learn more »Traditionally, algebraic geometry was the geometry of complex number solutions…

Learn more »Geometry (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement“)…

Learn more »Euclid took an abstract approach to geometry in his Elements,…

Learn more »Points are considered fundamental objects in Euclidean geometry. They have…

Learn more »The line is one of the primitive entities of geometry…

Learn more »In differential geometry, a geodesic is a generalization of the…

Learn more »A plane is a flat, two-dimensional surface that extends infinitely…

Learn more »Euclid defines a plane angle as the inclination to each…

Learn more »A curve is a 1-dimensional object that may be straight…

Learn more »A surface is a two-dimensional object, such as a sphere…

Learn more »A manifold is a generalization of the concepts of curve…

Learn more »Where the traditional geometry allowed dimensions 1 (a line), 2…

Learn more »Space is a logical conceptual form (or structure) serving as…

Learn more »In mathematics symmetry is defined as an involutory orthogonal transformation…

Learn more »Euclidean geometry is the geometry of space described by the…

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