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  2. Euclidean planes in three-dimensional space - Wikipedia

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

    A plane serves as a mathematical model for many physical phenomena, such as specular reflection in a plane mirror or wavefronts in a traveling plane wave. The free surface of undisturbed liquids tends to be nearly flat (see flatness). The flattest surface ever manufactured is a quantum-stabilized atom mirror. [11]

  3. Plane (mathematics) - Wikipedia

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

    In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. 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 ...

  4. Euclidean plane - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane

    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. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    The Koch snowflake, with fractal dimension=log4/log3 and topological dimension=1. Traditional geometry allowed dimensions 1 (a line or curve), 2 (a plane or surface), and 3 (our ambient world conceived of as three-dimensional space). Furthermore, mathematicians and physicists have used higher dimensions for nearly two centuries. [71]

  6. Lebesgue covering dimension - Wikipedia

    en.wikipedia.org/wiki/Lebesgue_covering_dimension

    The circle has dimension one, by this definition, because any such cover can be further refined to the stage where a given point x of the circle is contained in at most two open arcs. That is, whatever collection of arcs we begin with, some can be discarded or shrunk, such that the remainder still covers the circle but with simple overlaps.

  7. Space (mathematics) - Wikipedia

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

    geometry corresponds to an experimental reality geometry is a mathematical truth all geometric properties of the space follow from the axioms axioms of a space need not determine all geometric properties geometry is an autonomous and living science classical geometry is a universal language of mathematics space is three-dimensional

  8. 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.

  9. Characteristic length - Wikipedia

    en.wikipedia.org/wiki/Characteristic_length

    In physics, a characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula in order to predict some characteristics of the system, and it is usually required by the construction of a dimensionless quantity, in the general framework of dimensional analysis and in particular applications such as fluid mechanics.

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    related to: dimensions of a plane scale definition geometry math problems free mcgraw hill
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