Text: [Quantum Arithmetic] Quantum Arithmetic is very specific on elliptical areas. Radii are r1 and r2 for the two semi-diameters of an ellipse. And the area of an ellipse is therefore (r1=d2, and r2=d ˆab), d3ˆab. (This must be multiplied by pi if one insists) In the circle the two radii are equal. The square root of the radius is, then the basic number to be multiplied and not the radius itself. The roots of a circle are n, 0 n, n, in which all "n" are the square root of the radius, and ab=n2. So the area of a circle is n4pi, instead of ˆr2pi. (14) see QUANTUM ARITHMETIC stacks for more details on ellipses.

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