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  2. Collineation - Wikipedia

    en.wikipedia.org/wiki/Collineation

    A collineation is thus an isomorphism between projective spaces, or an automorphism from a projective space to itself. Some authors restrict the definition of collineation to the case where it is an automorphism. [1] The set of all collineations of a space to itself form a group, called the collineation group.

  3. Homography - Wikipedia

    en.wikipedia.org/wiki/Homography

    A central collineation (traditionally these were called perspectivities, [8] but this term may be confusing, having another meaning; see Perspectivity) is a bijection α from P to P, such that there exists a hyperplane H (called the axis of α), which is fixed pointwise by α (that is, α(X) = X for all points X in H) and a point O (called the ...

  4. Collinearity - Wikipedia

    en.wikipedia.org/wiki/Collinearity

    A mapping of a geometry to itself which sends lines to lines is called a collineation; it preserves the collinearity property. The linear maps (or linear functions) of vector spaces , viewed as geometric maps, map lines to lines; that is, they map collinear point sets to collinear point sets and so, are collineations.

  5. Perspectivity - Wikipedia

    en.wikipedia.org/wiki/Perspectivity

    A perspectivity: ′ ′ ′ ′, In projective geometry the points of a line are called a projective range, and the set of lines in a plane on a point is called a pencil.. Given two lines and in a projective plane and a point P of that plane on neither line, the bijective mapping between the points of the range of and the range of determined by the lines of the pencil on P is called a ...

  6. 'Bleeding Eye' Virus Sparks Travel Warning and Worldwide ...

    www.aol.com/bleeding-eye-virus-sparks-travel...

    The Marburg virus, which causes bleeding from the eyes, nose, and mouth, can be fatal in up to 90% of those infected

  7. Duality (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Duality_(projective_geometry)

    In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions and theorems of projective planes.

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