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Descartes's Method of Evaluating the Principal Cube Root

​
k
1.4
Descartes used the parabola with the equation
y=
2
x
and the circle with center
(k/2,1/2)
passing through
(0,0)
to construct the real or principal cube root
3
k
. Every real number greater than zero has one real cube root and a pair of complex conjugate cube roots.
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