E645 -- De curvis algebraicis, quarum longitudo exprimitur hac formula integrali $$\int \frac{v^{m-1}\partial v}{\sqrt{(1-v^{2n})}}$$

(On algebraic curves, of which the longitudes are expressed by the integral formula $$\displaystyle\int \frac{v^{m-1}\partial v}{\sqrt{(1-v^{2n})}}$$)

Summary:

Publication:
• Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 6, 1790, pp. 36-62
• Opera Omnia: Series 1, Volume 21, pp. 180 - 206
Documents Available:
• Original Publication: E645