Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 42r
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: 0.74.
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The machine reads it as
- ab
- 2C
- v
- quaentur an possibilis, in numeris integiis
- hoc aequatio:
- a7b
- (4)
- estf
- lmn aequ. m.
- lman aequ BY
- P
- V
- 2
- . +Mn + n , lm
- e
- 0
- 2
- 2
- l’amne lm=n
- ImAr+
- Ergo Mn +n, divisibiles per M, ergo
- quia M prius etiam vel n, vel m + 1
- divisibiles per n l.
- e
- nvel m + 1 divisib. per l sed non H, ergo M +1
- rursus l R divisibiles per MI
- 2
- ev vel m-1 divisib. per n sed non l ergo
- te l’in pm m t0 N p
- M- 1 divisibilis, per
- ergo ael m+1 divsibilis per B
- vel m - 1
- a
- m∞i
- 10
- vel m+i et m-1. divisibiles per n. quod
- est absurdum nam duo numeri binario differentes
- melum cabere possunt communem divisorem prae
- geque binarimus sed hoc locont, utique majorbinar
- est enm minuum A. itaque necesse fret n
- esse binarium. Si m +1 ilivrsit per nd
- fet. in p 4 e hin 1
- Ergo h n Ehn +, 41 divisibl. per
- 12
- L 4 H
- m +1
- A l+n her 2hn + 1
- v
- hnchne +IC 1 +n divisib. per hn =1
- Ergo m + 1p P. V + n m
- v
- Ergo ne ee n Ergo n’i est minor
- quam quod est g hy pothesio
- aequ. ef. aibe
- et in inlegnis impostinlis fei a +bt a.
- seu act b+ abed
- igrogibile esse patet.
- quod in integris
- 2
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 42r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0085?run=74