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    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45453


    Title: Famous Curves and Their Tangents
    Authors: Jen-chung Chuan
    教師: 全任重
    Date: 2004
    Keywords: Famous
    Curves
    Their
    Tangents
    Abstract: The MacTutor History of Mathematics archive (http://www-history.mcs.st-and.ac.uk/history/) contains an interesting section devoted to “famous curves”, many of which were studied before the publication of René Descartes' La Géométrie. The development of mathematics has since linked Algebra and Geometry so strongly that plane curves are introduced nowadays not in terms of their geometric shapes but the equations instead. In this study we shall demonstrate how some of the interesting famous curves, along with their tangents, can be constructed synthetically. According to our method, the appropriate algebraic formulation of the curves is chosen. The steps of the construction are then designed based on the analytic process. Finally Cabri Geometry is used to visualize the interpretation of algebraic formulae. The construction has the advantage that
    1) it is exact;
    2) no infinite process is involved;
    3) nothing is hidden.
    URI: http://sylvester.math.nthu.edu.tw/d2/talk-cabriworld-2004/
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45453
    Appears in Collections:[數學系] 會議論文

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