■ファニャーノのみたレムニスケートの5等分(その2)

【1】1/(1-t^4)^(1/2)

[1]2等分点

  r=sl(u/2)=(-1+√2)^1/2=0.643594

[2]3等分点

  r=sl(u/3)=1/2(1-(√2)(3)^1/4+√3)=0.435421

[3]5等分点

  c=2+√5+(5+2√5)^1/2

  r={c−(c^2−1)^1/2}^1/2

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【2】1/(1-t^3)^(1/2)

[1]2等分点

  r=√3+1−(2√3+3)(1−(2√3−3)^1/2)

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【3】1/(1-t^6)^(1/2)

[1]2等分点

  r={(√3−1)/2}^1/2

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