Squaring the circle: Given any circle drawing a square having the same area.
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He knew that Archimedes' formula for the area of a circle, which calls for multiplying the diameter by one fourth of the circumference, is not considered a solution to the ancient problem of squaring the circle.
He built a good reputation in philosophic circles and in 1645 was chosen with Descartes, Gilles de Roberval and others, to referee the controversy between John Pell and Longomontanus over the problem of squaring the circle.
After the much-noticed first album, Quadratur des Kreises (Squaring the Circle), and its hit single "A-N-N-A" which peaked at #6 in the German charts, the band released its second album, Esperanto, named after the constructed language Esperanto.