■円に関する反転(その4)

  cosθ=(1−t^2)/(1+t^2),

  sinθ=2t/(1+t^2)より,円のパラメータ表示は

 (2t/(1+t^2),(1−t^2)/(1+t^2))

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【1】球のパラメータ表示

 (2u/(u^2+v^2+1),2v/(u^2+v^2+1)(u^2+v^2−1)/(u^2+v^2+1))

 n次元球面では

 (2y1/(y1^2+y2^2+・・・+yn^2+1),2y2/(y1^2+y2^2+・・・+yn^2+1),・・・,(y12+y2^2+・・・+ym-1^2−1)//(y1^2+y2^2+・・・+yn^2+1))

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