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    Projective Transformations: Geometric Transformations
    Projective Transformations: Geometric Transformations
    Projective Transformations: Geometric Transformations
    Ebook130 pages2 hours

    Projective Transformations: Geometric Transformations

    By P. S. Modenov, A. S. Parkhomenko and D. Allan Bromley

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    About this ebook

    Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective transformations, projective transformations in coordinates, quadratic curves in the projective plane, and projective transformations of space are also discussed. The text then examines inversion, including the power of a point with respect to a circle, definition and properties of inversion, and circle transformations and the fundamental theorem. The manuscript elaborates on the principle of duality. The manuscript is designed for use in geometry seminars in universities and teacher-training colleges. The text can also be used as supplementary reading by high school teachers who want to extend their range of knowledge on projective transformations.
    LanguageEnglish
    PublisherAcademic Press
    Release dateMay 12, 2014
    ISBN9781483261492
    Projective Transformations: Geometric Transformations

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