Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 406r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.85.
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The machine reads it as
- si duae sint series una he arithmetica altera harmonica
- simul incipientes, ita ut cum unius terminus est nihilum alterius
- sit infinitum erunt
- reperiri potest Arithmetica
- tionales sit 1. m.n
- Arithmetica esse
- seu esse
- bb:x
- Data qualibet progressione Harmonica.
- cujus termini Hamionicis recipiore propor
- p.
- ifenta inventa et si
- bb: 4+a bb: x + 2a
- m
- bc1 et a = 1 X = 2
- 2
- X
- lm: El - m pountur
- X+ a X+2a etc
- Eugo = b: l et bm: l tam = b
- seu a = - b m + bl,: ml H
- seu a:b- m
- =16: 1: 2 pursu 1b = s : s + (1) L seu ()= 1b = b: 1: et H1): 1b = 1 - L
- scilicet L en lme: l- m est quantitas constans seriei Harmonicae, seu = a si b= 1
- 3
- videndum an ex hac data inveniri possit serici lex ad arichmeticam
- nempe
- 1- seu rilatio inter x et al ex data a.
- m = l. 1+ la seu m - 1; a+ 1: l et n = 1: a + r: m n = 1: a + a + C: seu n = 1: 24+ 1.
- lm
- nempe quia
- demper ce et pB. 1 NB
- emper procedi e A. M. .
- st t
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 406r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0807?run=74