• Look up collinearity or collinear in Wiktionary, the free dictionary. In geometry, collinearity of a set of points is the property of their lying on a...
    18 KB (2,581 words) - 19:26, 19 July 2025
  • errors. To address the high collinearity of a dataset, variance inflation factor can be used to identify the collinearity of the predictor variables....
    21 KB (2,391 words) - 01:12, 26 May 2025
  • Thumbnail for Collinearity equation
    The collinearity equations are a set of two equations, used in photogrammetry and computer stereo vision, to relate coordinates in a sensor plane (in two...
    4 KB (798 words) - 08:25, 21 October 2024
  • The idea of a line was abstracted to a ternary relation determined by collinearity (points lying on a single line). According to Wilhelm Blaschke it was...
    14 KB (1,751 words) - 16:41, 8 April 2025
  • plane, which lacks a notion of distance but preserves the notion of collinearity. Conversely, in adding more structure, one may view the plane as a 1-dimensional...
    7 KB (1,672 words) - 16:13, 9 June 2025
  • Thumbnail for Simson line
    circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P, named for Robert...
    10 KB (1,203 words) - 08:37, 28 June 2025
  • Thumbnail for Altermagnetism
    Altermagnetic structures are collinear and crystal-symmetry compensated, resulting in zero net magnetisation. Unlike in an ordinary collinear antiferromagnet, another...
    16 KB (1,472 words) - 05:36, 17 July 2025
  • Thumbnail for Collinear antenna array
    In telecommunications, a collinear antenna array (sometimes spelled colinear antenna array) is an array of dipole or quarter-wave antennas mounted in...
    4 KB (431 words) - 04:01, 18 July 2025
  • Thumbnail for Line (geometry)
    points a and b may be used to express the collinearity between three points by: The points a, b and c are collinear if and only if d(x,a) = d(c,a) and d(x...
    29 KB (4,225 words) - 03:52, 18 July 2025
  • Thumbnail for Cyclic quadrilateral
    (1) ABCD is a cyclic quadrilateral if and only if points P and Q are collinear with the center O, of circle ω {\displaystyle \omega } . (2) ABCD is a...
    31 KB (4,099 words) - 01:57, 22 July 2025
  • Thumbnail for Pascal's theorem
    the intersection of tangents at opposite vertices (A, C) and (B, D) are collinear in four points; the tangents being degenerate 'sides', taken at two possible...
    17 KB (2,198 words) - 00:12, 23 June 2024
  • deviation) of an estimated regression coefficient is increased because of collinearity. Cuthbert Daniel claims to have invented the concept behind the variance...
    12 KB (1,770 words) - 00:42, 2 May 2025
  • Thumbnail for Tangential quadrilateral
    with M3 being the midpoint of JK, then the points M3, M1, I, and M2 are collinear.: p.42  The line containing them is the Newton line of the quadrilateral...
    36 KB (5,163 words) - 06:44, 6 April 2025
  • Thumbnail for Ansel Adams
    13-1/2-inch lens and five holders. 4 x 5 view camera, 6 lenses - 12-inch Collinear, 8-1/2 APO Lanthar, 9-1/4 APO Tessar, 4-inch Wide Field Ektar, Dallmeyer...
    109 KB (11,307 words) - 01:51, 22 July 2025
  • Thumbnail for Cairo pentagonal tiling
    hexagons, is the form used in Cairo and has the property that every edge is collinear with infinitely many other edges. In architecture, beyond Cairo, the Cairo...
    22 KB (2,509 words) - 17:35, 6 July 2025
  • Thumbnail for Pappus's hexagon theorem
    of the lines x , y , z {\displaystyle x,y,z} of the dual theorem, and collinearity of X , Y , Z {\displaystyle X,Y,Z} is equivalent to concurrence of B...
    17 KB (2,865 words) - 22:17, 19 April 2025
  • Thumbnail for J-pole antenna
    to 0.5 dBd). The Super-J variation of the J-pole antenna adds another collinear half-wave radiator above the conventional J and connects the two with...
    21 KB (2,318 words) - 11:57, 14 June 2025
  • Thumbnail for Monge's theorem
    intersection points of each of the three pairs of external tangent lines are collinear. For any two circles in a plane, an external tangent is a line that is...
    5 KB (665 words) - 06:19, 27 February 2025
  • Thumbnail for Coplanarity
    polyhedron that has positive volume has vertices that are not all coplanar. Collinearity Plane of incidence Swokowski, Earl W. (1983), Calculus with Analytic...
    6 KB (784 words) - 20:36, 16 February 2025
  • Thumbnail for Mittenpunkt
    connecting the orthocenter with the Spieker center, thus establishing three collinearities involving the mittenpunkt. The three lines connecting the excenters...
    4 KB (451 words) - 03:55, 15 November 2024
  • generic point. Points that are incident with the same line are said to be collinear. The set of all points incident with the same line is called a range....
    12 KB (1,733 words) - 00:00, 22 November 2024
  • Thumbnail for Cubic function
    lines to the graph of a cubic function at three collinear points intercept the cubic again at collinear points. This can be seen as follows. As this property...
    12 KB (1,746 words) - 17:57, 14 May 2025
  • In quantum field theory, soft-collinear effective theory (or SCET) is a theoretical framework for doing calculations that involve interacting particles...
    4 KB (484 words) - 19:38, 26 September 2024
  • Thumbnail for Midpoint theorem (conics)
    Collinearity of the midpoints of parallel chords in a conic...
    2 KB (198 words) - 03:07, 5 March 2025
  • Thumbnail for Fano plane
    permutation of the 7 points that preserves collinearity: that is, it carries collinear points (on the same line) to collinear points. By the Fundamental theorem...
    24 KB (3,102 words) - 18:56, 16 June 2025
  • Thumbnail for Shear force
    another part of the body in the opposite direction. When the forces are collinear (aligned with each other), they are called tension forces or compression...
    4 KB (421 words) - 15:26, 24 October 2024
  • counterclockwise. The determinant is non-zero if points A, B, and C are non-collinear. In the above example, with points ordered A, B, C, etc., the determinant...
    9 KB (1,483 words) - 02:31, 8 October 2024
  • Thumbnail for Sylvester–Gallai theorem
    Geometry, 9: 187–202, doi:10.1007/BF02189318, MR 1194036 Dirac, G. (1951), "Collinearity properties of sets of points", Quarterly Journal of Mathematics, 2: 221–227...
    41 KB (5,243 words) - 13:09, 24 June 2025
  • {\displaystyle \mathbf {x} } into a vector of the same length which is collinear to e 1 {\displaystyle \mathbf {e} _{1}} . We could use an orthogonal projection...
    30 KB (5,100 words) - 14:27, 18 July 2025
  • Thumbnail for Omnidirectional antenna
    using collinear dipole arrays. These consist of multiple half-wave dipoles mounted collinearly (in a line), fed in phase. The coaxial collinear (COCO)...
    8 KB (772 words) - 12:12, 21 December 2024