Scaling Geometry

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High Quality Content by WIKIPEDIA articles! In Euclidean geometry, uniform scaling or isotropic scaling is a linear transformation that enlarges or increases or diminishes objects; the scale factor is the same in all directions; it is also called a homothety. The result of uniform scaling is similar, in the geometric sense to the original. A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar, but some school text books specifically exclude this possibility. More general is scaling with a separate scale factor for each axis direction. Non-uniform or anisotropic scaling is obtained when at least one of the scaling factors is different from the others; a special case is directional scaling, in one direction. Non-uniform scaling changes the shape of the object; a rectangle may change into a rectangle of a different shape, but also in a parallelogram, the angles between lines parallel to the axes are preserved, but not all angles.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130347192
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130347192
    • Format Kartonierter Einband
    • ISBN 978-613-0-34719-2
    • Titel Scaling Geometry
    • Untertitel Scaling Geometry, Euclidean Geometry, Isotropy, Linear Map, Scale Factor, Homothetic Transformation, Similarity Geometry, Anisotropy, Scale Ratio, Scale Map
    • Gewicht 165g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 100
    • Genre Mathematik

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