Summary

Portrait of Lewis Carroll Lewis Carroll The New Method of Evaluation as Applied to Pi

V. Evaluation Under Pressure Mathematicians had already investigated the locus of HPL, and had introduced this function into the calculation, but without effecting the desired evaluation, even when HPL was transferred to the opposite side of the equation, with a change of sign. The process we are about to describe consists chiefly in the substitution of G for P, and the application of pressure.
Let the function φ (HGL) be developed into a series, and let the sum of this be assumed as a perfectly rigid mody, moving in a fixed line
Source: Wikisource

Portrait of Lewis Carroll Lewis Carroll The New Method of Evaluation as Applied to Pi

The chief objection to this process was, that it would raise J to an inconvieniently high power, and would after all only give an errational value for π.
Other processes, which we need not here describe, have been suggested for the evalution of π. One was, that it should be treated as a given quantity: this theory was supported by many eminent men, at Cambridge and elsewhere; but on application, J was found to exhibit a negative sign, which of course made the evaluation impossible.
Source: Wikisource

Portrait of Lewis Carroll Lewis Carroll The New Method of Evaluation as Applied to Pi

The New Method of Evaluation as Applied to Π by Lewis Carroll
"Little Jack Horner sat in a corner eating his Christmas pie." The problem of evaluating π which has engaged the attention of mathematicians from the earliest ages, had, down to our own time, been considered as purely arithmetical. It was reserved for this generation to make the discovery that it is in reality a dynamical problem: and the true value of π which appeared an ignis fatuus to our forefathers, has at last been obtained under pressure.
Source: Wikisource

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