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  2. Perspective (geometry) - Wikipedia

    en.wikipedia.org/wiki/Perspective_(geometry)

    Perspective (geometry) Two perspective triangles, with their perspective axis and center. Two figures in a plane are perspective from a point O, called the center of perspectivity, if the lines joining corresponding points of the figures all meet at O. Dually, the figures are said to be perspective from a line if the points of intersection of ...

  3. Desargues's theorem - Wikipedia

    en.wikipedia.org/wiki/Desargues's_theorem

    In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in perspective centrally. Denote the three vertices of one triangle by a, b and c, and those of the other by A, B and C. Axial perspectivity means that lines ab and AB meet in a point, lines ac and ...

  4. Desargues configuration - Wikipedia

    en.wikipedia.org/wiki/Desargues_configuration

    Two perspective triangles, and their center and axis of perspectivity. In geometry, the Desargues configuration is a configuration of ten points and ten lines, with three points per line and three lines per point. It is named after Girard Desargues. The Desargues configuration can be constructed in two dimensions from the points and lines ...

  5. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had ...

  6. Vanishing point - Wikipedia

    en.wikipedia.org/wiki/Vanishing_point

    A vanishing point is a point on the image plane of a perspective rendering where the two-dimensional perspective projections of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point ...

  7. Projective geometry - Wikipedia

    en.wikipedia.org/wiki/Projective_geometry

    Geometry. In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts.

  8. Perspective (graphical) - Wikipedia

    en.wikipedia.org/wiki/Perspective_(graphical)

    Rays of light travel from the object, through the picture plane, and to the viewer's eye. This is the basis for graphical perspective. Perspective works by representing the light that passes from a scene through an imaginary rectangle (the picture plane), to the viewer's eye, as if a viewer were looking through a window and painting what is seen directly onto the windowpane.

  9. Modern triangle geometry - Wikipedia

    en.wikipedia.org/wiki/Modern_triangle_geometry

    Emile Lemoine (1840–1912) In mathematics, modern triangle geometry, or new triangle geometry, is the body of knowledge relating to the properties of a triangle discovered and developed roughly since the beginning of the last quarter of the nineteenth century. Triangles and their properties were the subject of investigation since at least the ...

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