. Acta Academiae scientiarum imperialis petropolitanae. Science. ->^.5 ) 75 ( z^n^" vnde intelligitur , qiiemadmodiim omncs logarithmos per fradioncs continuas exprimi conucniat. §. 20. Poflcnt hic pro u numeri fradi accipi, tum autem, priores termini in fingulis membris prodirent fradij quas quidem per redufrinnem :id intcgros reuocare liccret: verum Iniiusmodi cafus ficillime ex forma generali deri- uari pofTuut, Ccribendo ftatini b ~ n et cif— m^ tum enim habcbimus n m — ^ — n — 7n jn 11^ n — m 3 « — 4 ni m 5 n— 9 m m 7 n — etc. Ynde fi loco m fcribatur V k, erit 2V k 1 "-HVfe
. Acta Academiae scientiarum imperialis petropolitanae. Science. ->^.5 ) 75 ( z^n^" vnde intelligitur , qiiemadmodiim omncs logarithmos per fradioncs continuas exprimi conucniat. §. 20. Poflcnt hic pro u numeri fradi accipi, tum autem, priores termini in fingulis membris prodirent fradij quas quidem per redufrinnem :id intcgros reuocare liccret: verum Iniiusmodi cafus ficillime ex forma generali deri- uari pofTuut, Ccribendo ftatini b ~ n et cif— m^ tum enim habcbimus n m — ^ — n — 7n jn 11^ n — m 3 « — 4 ni m 5 n— 9 m m 7 n — etc. Ynde fi loco m fcribatur V k, erit 2V k 1 "-HVfe 71 —yfc — n — h. §. 21. Hinc igitur omnium nurrerorum intcgro- rum iogarithmos hyperbolicos per fradiones contiuuas ex- primere poterimus. Propoftus igitur fit in genere nnme- rus intcger /, ac fiatuatur "^^ —/, crit -^^~'-±i. Ca- piatur ergo « — i -i- i et ?« — i — i, atquc habcbimus K A. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Imperatorskaia akademia nauk (Russia). Petropoli, Typis Academiae scientiarum
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