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  2. Collinearity - Wikipedia

    en.wikipedia.org/wiki/Collinearity

    An antenna mast with four collinear directional arrays. In telecommunications, a collinear (or co-linear) antenna array is an array of dipole antennas mounted in such a manner that the corresponding elements of each antenna are parallel and aligned, that is they are located along a common line or axis.

  3. Geometric terms of location - Wikipedia

    en.wikipedia.org/wiki/Geometric_terms_of_location

    Tangential – intersecting a curve at a point and parallel to the curve at that point. Collinear – in the same line; Parallel – in the same direction. Transverse – intersecting at any angle, i.e. not parallel. Orthogonal (or perpendicular) – at a right angle (at the point of intersection).

  4. Collinear antenna array - Wikipedia

    en.wikipedia.org/wiki/Collinear_antenna_array

    Collinear dipole array on repeater for radio station JOHG-FM on Mt. Shibisan, Kagoshima, Japan. In telecommunications, a collinear antenna array (sometimes spelled colinear antenna array) is an array of dipole or quarter-wave antennas mounted in such a manner that the corresponding elements of each antenna are parallel and collinear; that is, they are located along a common axis.

  5. Collineation - Wikipedia

    en.wikipedia.org/wiki/Collineation

    Simply, a collineation is a one-to-one map from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. One may formalize this using various ways of presenting a projective space. Also, the case of the projective line is special, and hence generally treated ...

  6. Affine plane (incidence geometry) - Wikipedia

    en.wikipedia.org/wiki/Affine_plane_(incidence...

    There exist four points such that no three are collinear (points not on a single line). In an affine plane, two lines are called parallel if they are equal or disjoint. Using this definition, Playfair's axiom above can be replaced by: [2] Given a point and a line, there is a unique line which contains the point and is parallel to the line.

  7. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    The number of vertices is smaller when some lines are parallel, or when some vertices are crossed by more than two lines. [4] An arrangement can be rotated, if necessary, to avoid axis-parallel lines. After this step, each ray that forms an edge of the arrangement extends either upward or downward from its endpoint; it cannot be horizontal.

  8. General position - Wikipedia

    en.wikipedia.org/wiki/General_position

    It means the general case situation, as opposed to some more special or coincidental cases that are possible, which is referred to as special position. Its precise meaning differs in different settings. For example, generically, two lines in the plane intersect in a single point (they are not parallel or coincident).

  9. Projective space - Wikipedia

    en.wikipedia.org/wiki/Projective_space

    If the six vertices of a hexagon lie alternately on two lines, the three points of intersection of pairs of opposite sides are collinear. And, to ensure that the vector space is defined over a field that does not have even characteristic include Fano's axiom; [f] The three diagonal points of a complete quadrangle are never collinear.