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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. 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.

  4. Affine plane (incidence geometry) - Wikipedia

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

    The lines in any parallel class form a partition the points of the affine plane. Each of the n + 1 lines that pass through a single point lies in a different parallel class. The parallel class structure of an affine plane of order n may be used to construct a set of n − 1 mutually orthogonal latin squares. Only the incidence relations are ...

  5. Lami's theorem - Wikipedia

    en.wikipedia.org/wiki/Lami's_theorem

    In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding vectors.

  6. Cross-ratio - Wikipedia

    en.wikipedia.org/wiki/Cross-ratio

    (If one of the four points is the line's point at infinity, then the two distances involving that point are dropped from the formula.) The point D is the harmonic conjugate of C with respect to A and B precisely if the cross-ratio of the quadruple is −1 , called the harmonic ratio .

  7. Rodrigues' rotation formula - Wikipedia

    en.wikipedia.org/wiki/Rodrigues'_rotation_formula

    This form may be more useful when two vectors defining a plane are involved. An example in physics is the Thomas precession which includes the rotation given by Rodrigues' formula, in terms of two non-collinear boost velocities, and the axis of rotation is perpendicular to their plane.

  8. Möller–Trumbore intersection algorithm - Wikipedia

    en.wikipedia.org/wiki/Möller–Trumbore...

    This happens if and only if the triangle vertices aren't collinear and the ray isn't parallel to the plane. The algorithm can use Cramer's Rule to find the t {\displaystyle t} , u {\displaystyle u} , and v {\displaystyle v} values for an intersection, and if it lies within the triangle, the exact coordinates of the intersection can be found by ...

  9. Parallelogram of force - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_of_force

    Figure 1: Parallelogram construction for adding vectors. This construction has the same result as moving F 2 so its tail coincides with the head of F 1, and taking the net force as the vector joining the tail of F 1 to the head of F 2. This procedure can be repeated to add F 3 to the resultant F 1 + F 2, and so forth.