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    National Tsing Hua University Institutional Repository > 理學院 > 數學系 > 會議論文 >  Tutorial -- Construction with the Compass Alone with Cabri Java Applets


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45445


    Title: Tutorial -- Construction with the Compass Alone with Cabri Java Applets
    Authors: Jen-chung Chuan
    教師: 全任重
    Date: 2000
    Keywords: Construction
    Compass
    Alone
    Cabri
    Java
    Applets
    Abstract: Mascheroni dedicated one of his books Geometria del compasso (1797) to Napoleon in verse in which he proved that all Euclidean constructions can be made with compasses alone, so a straight edge in not needed. This theorem was (unknown to Mascheroni) proved in 1672 by a little known Danish mathematician Georg Mohr. In the setting of dynamic geometry, the Mohr-Mascheroni construction asks for specific procedures in which the figure is constructed using the compass alone. In this tutorial the participants are guided through this sort of constructions step-by-step using Cabri Java Applets as the tool. We shall concentrate the constructions of
    1) the conics: hyperbola, parabola and ellipse.
    2) the epicycloids (the cardioid and the nephroid), hypocycloids (the deltoid and the astroid) and their osculating circles.
    3) the Lemniscate of Bernoulli.
    4) the Bowditch curve.
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45445
    Appears in Collections:[數學系] 會議論文

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