Collinear points: Three points are said to be
collinear if they lie on the same line. the case of three
collinear points this does not happen.
Kaynak: Line (geometry) In telecommunication s, a
collinear (or co-linear) antenna array is an array of dipole antenna s mounted in such a manner that the
Kaynak: Collinear antenna arrayCollinearity-The dual of concurrency is
collinearity. Three points P 1, P 2, and P 3 in the projective plane are
collinear if they all lie
Kaynak: Incidence (geometry)In quantum field theory , soft-
collinear effective theory (or SCET) is a theoretical framework for doing calculations in quantum
Kaynak: Soft-collinear effective theoryIn mathematics, an oval in a projective plane is a set of points, no three
collinear, such that there is a unique tangent line at each
Kaynak: Oval (projective plane)In statics , Lami's theorem is an equation relating the magnitudes of three coplanar , concurrent and non-
collinear forces, which keeps an
Kaynak: Lami's theoremIn mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria ) states that given one set of
collinear points A, B, C, and
Kaynak: Pappus's hexagon theoremone projective space to another, or from a projective space to itself, such that the images of
collinear points are themselves
collinear.
Kaynak: CollineationBy projective duality , the existence of an ordinary line in a set of non-
collinear points in RP 2 is equivalent to the existence of an
Kaynak: Sylvester–Gallai theoremanharmonic ratio, is a special number associated with an ordered quadruple of
collinear points, particularly points on a projective line .
Kaynak: Cross-ratioIn Euclidean geometry any three points, when non-
collinear , determine a unique triangle and a unique plane (i.e. a two-dimensional
Kaynak: Triangleby Henry Dudeney in 1917, asks for the maximum number of points that can be placed in the n × n grid so that no three points are
collinear.
Kaynak: No-three-in-line problemThe composition of two Lorentz boost s which are non-
collinear, results in a Lorentz transformation that is not a pure boost but is the
Kaynak: Thomas precessiongeometry , given a triangle ABC and a point P on its circumcircle , the three closest points to P on lines AB, AC, and BC are
collinear .
Kaynak: Simson lineIn the projective space PG(3,q), with q a prime power greater than 2, an ovoid is a set of q^2+1 points, no three of which are
collinearKaynak: Ovoid (projective geometry)meaning that there are six additional points where exactly two of the circles cross and that no three of these crossing points are
collinear.
Kaynak: Clifford's circle theorems