Pythagorean Theorem 勾股弦定理的另外證明

  • Drag the red point.
  • Press "Define" button.
  • Drag five pieces of quadrilaterals
  • to fit in the square below.
  • 將右上方塊區分為四塊:
  • 你可以先在紅點處按下滑鼠鍵,
  • 當確定好後,按下 Define 鍵 開始組合:
  • 分別將四塊方塊按住中間紅點後,拖至下方方塊內。
    最後加上左上方方塊,恰好組合成 一新的方塊。
  • 好玩吧!

  • 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.
    4. move......Drag the red point on the center of the figure.

    Prove A1=A2 and A3=A4.

  • 結合變形,轉動與移動分別證明
  • A1 = A2 且 A3=A4
    1. 先選擇顏色
    2. 利用三種方式變化圖形
    3. shift: 一邊固定變形
    4. rotate: 一點固定轉動
    5. move:整個移動
  • 我只靠 shift - rotate -shift 三步驟
  • 便可以 將 A1 變為 A2
  • 你不妨也試試看!

  • Reference "Pythagoras Theorem" OYA, Shinichi, 1975, Tokai University Press.

    These mirrored applets reside in Japan: 原始網頁資料
    Pythagorean Proof: Cut and Move ( )

    Pythagorean Proof: Slue and Rotate ( )