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  2. Vanishing point - Wikipedia

    en.wikipedia.org/wiki/Vanishing_point

    A photo demonstrating a vanishing point at the end of the railroad. A vanishing point is a point on the image plane of a perspective rendering where the two-dimensional perspective projections of parallel lines in three-dimensional space appear to converge.

  3. Perpendicular - Wikipedia

    en.wikipedia.org/wiki/Perpendicular

    Perpendicular is also used as a noun: a perpendicular is a line which is perpendicular to a given line or plane. Perpendicularity is one particular instance of the more general mathematical concept of orthogonality ; perpendicularity is the orthogonality of classical geometric objects.

  4. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Mathematics in art: Albrecht Dürer's copper plate engraving Melencolia I, 1514. Mathematical references include a compass for geometry, a magic square and a truncated rhombohedron, while measurement is indicated by the scales and hourglass. [1] Wireframe drawing [2] of a vase as a solid of revolution [2] by Paolo Uccello. 15th century

  5. Parallel (geometry) - Wikipedia

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

    [1] Parallel lines are the subject of Euclid's parallel postulate. [2] Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism.

  6. Oblique projection - Wikipedia

    en.wikipedia.org/wiki/Oblique_projection

    The foreshortening factor (1/2 in this example) is inversely proportional to the tangent of the angle (63.43° in this example) between the projection plane (colored brown) and the projection lines (dotted). Front view of the same. Oblique projection is a type of parallel projection: it projects an image by intersecting parallel rays (projectors)

  7. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The line with equation ax + by + c = 0 has slope -a/b, so any line perpendicular to it will have slope b/a (the negative reciprocal). Let (m, n) be the point of intersection of the line ax + by + c = 0 and the line perpendicular to it which passes through the point (x 0, y 0). The line through these two points is perpendicular to the original ...

  8. Orthogonality - Wikipedia

    en.wikipedia.org/wiki/Orthogonality

    The line segments AB and CD are orthogonal to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Whereas perpendicular is typically followed by to when relating two lines to one another (e.g., "line A is perpendicular to line B"), [1] orthogonal is commonly used without to (e.g., "orthogonal lines A and B").

  9. Spandrel - Wikipedia

    en.wikipedia.org/wiki/Spandrel

    Spandrels of a Tudor arch Spandrels of a circle within a square Spandrel figures of winged victories, Arc de Triomphe du Carrousel, Paris Spandrel panels. A spandrel [1] is a roughly triangular space, usually found in pairs, between the top of an arch and a rectangular frame, between the tops of two adjacent arches, [2] or one of the four spaces between a circle within a square.