Doubling the Cube/Cissoid of Diocles

Theorem

The problem of Doubling the Cube can be solved by using a cissoid of Diocles.


Proof


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Historical Note

The technique for doubling the cube by using a Cissoid of Diocles was devised by Diocles of Carystus.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1 \cdotp 25992 \, 10498 \, 94873 \, 16476 \ldots$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1 \cdotp 25992 \, 10498 \, 94873 \, 16476 \ldots$