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  2. Line (geometry) - Wikipedia

    en.wikipedia.org/wiki/Line_(geometry)

    e. In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical objects as a straightedge, a taut string, or a ray of light. Lines are spaces of dimension one, which may be embedded in spaces of dimension two, three, or higher.

  3. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    A simplicial line arrangement (left) and a simple line arrangement (right). In geometry , an arrangement of lines is the subdivision of the plane formed by a collection of lines . Problems of counting the features of arrangements have been studied in discrete geometry , and computational geometers have found algorithms for the efficient ...

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry(from Ancient Greek γεωμετρία(geōmetría) 'land measurement'; from γῆ(gê) 'earth, land' and μέτρον(métron) 'a measure')[1]is a branch of mathematicsconcerned with properties of space such as the distance, shape, size, and relative position of figures.[2] Geometry is, along with arithmetic, one of the oldest branches ...

  5. Foundations of geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_geometry

    Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean geometries. These are fundamental to the study and of historical importance, but there are a great many modern geometries that are not Euclidean which can be studied from this viewpoint.

  6. Skew lines - Wikipedia

    en.wikipedia.org/wiki/Skew_lines

    Skew lines. Rectangular parallelepiped. The line through segment AD and the line through segment B 1 B are skew lines because they are not in the same plane. In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of ...

  7. Recreational mathematics - Wikipedia

    en.wikipedia.org/wiki/Recreational_mathematics

    Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research- and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced ...

  8. Intersecting secants theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_secants_theorem

    In Euclidean geometry, the intersecting secants theorem or just secant theorem describes the relation of line segments created by two intersecting secants and the associated circle.

  9. Transversal (geometry) - Wikipedia

    en.wikipedia.org/wiki/Transversal_(geometry)

    In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles ...

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