E392 -- Evolutio insignis paradoxi circa aequalitatem superficierum

(Development of a notable paradox concerning the equality of surfaces)


Summary:

The paradox consists of showing that for infinitely many different surfaces, the surface element √(1+p2+q2) dxdy can have the same form.

According to the records, it was presented to the St. Petersburg Academy on August 18, 1768.

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