Pythagorean Theorem ¤ÄªÑ©¶©w²zªº¥t¥~ÃÒ©ú

  • Drag the red point.
  • Press "Define" button.
  • Drag five pieces of quadrilaterals
    • to fit in the square below.
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    Select a rectangle by clicking "green" or "pink" radio button.

    Select the transformation from "shift", "rotate", and "move".

    1. shift.....Drag the red points on the side.
    2. rotate....Drag the red points on the vertices.
      3. The figure rotates arround the opposite vertex.
    3. move......Drag the red point on the center of the figure.

    Prove A1=A2 and A3=A4.

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    • A1 = A2 ¥B A3=A4
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    2. §Q¥Î¤TºØ¤è¦¡ÅܤƹϧÎ
    3. shift: ¤@Ãä©T©wÅܧÎ
    4. rotate: ¤@ÂI©T©wÂà°Ê
    5. move:¾ã­Ó²¾°Ê
  • §Ú¥u¾a shift - rotate -shift ¤T¨BÆJ
  • «K¥i¥H ±N A1 Åܬ° A2
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    Reference "Pythagoras Theorem" OYA, Shinichi, 1975, Tokai University Press.

    These mirrored applets reside in Japan: ­ì©lºô­¶¸ê®Æ
        Pythagorean Proof: Cut and Move     ( http://www.ies.co.jp/math/java/pytha2/pytha2.html )

        Pythagorean Proof: Slue and Rotate   ( http://www.ies.co.jp/math/java/pitha1/pitha1.html )