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  2. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Mathematically, a four-dimensional space is a space that needs four parameters to specify a point in it. For example, a general point might have position vector a, equal to. This can be written in terms of the four standard basis vectors (e1, e2, e3, e4), given by. so the general vector a is. Vectors add, subtract and scale as in three ...

  3. Descriptive geometry - Wikipedia

    en.wikipedia.org/wiki/Descriptive_geometry

    Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections.

  4. Euclidean plane - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane

    Geometry. In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted or . It is a geometric space in which two real numbers are required to determine the position of each point. It is an affine space, which includes in particular the concept of parallel lines.

  5. Euclidean planes in three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_planes_in_three...

    In Euclidean geometry, a plane is a flat two- dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space . A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin. While a pair of real numbers suffices to describe points on a plane, the ...

  6. List of map projections - Wikipedia

    en.wikipedia.org/wiki/List_of_map_projections

    Equal-area. Walter Behrmann. Cylindrical equal-area projection with standard parallels at 30°N/S and an aspect ratio of (3/4)π ≈ 2.356. 2002. Hobo–Dyer. Cylindrical. Equal-area. Mick Dyer. Cylindrical equal-area projection with standard parallels at 37.5°N/S and an aspect ratio of 1.977.

  7. Isometric projection - Wikipedia

    en.wikipedia.org/wiki/Isometric_projection

    Graphical projection. Isometric projection is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees.

  8. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    This is the convention followed in this article. In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified by three real numbers: the radial distance r along the radial line connecting the point to the fixed point of origin; the polar angle θ ...

  9. Plane (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Plane_(mathematics)

    A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the whole space. Several notions of a plane may be defined.

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