Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 2r
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: 0.84.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.
The machine reads it as
- idem quod
- Cb, dub, . b, l
- buc, duC, e- C, M b. d, c- d, C. d, A b- e, c= P, d. P, B
- idemque est in altioribus, nam ratio inlucati lex intu generalis
- attendenti patet. it ita generaliter fractio denominalons copositi divelli potest in fractiones derpominatous siuplius.
- jam
- initio
- in Residuae fractionis
- Quod si post divisionem factam, tamen
- indefinita
- n numeratore mansisset veluti si foret residua foret
- Numerator, e quae jam rursus tractanda; in formula
- B + PX + W XX + pX X
- Imnpa
- divellatur in totidem partes quot sunt membra
- in Numeratore, quae erunt + S
- 9X
- imno Inmpe
- imnpe lmmpe ubi pars quidem
- 3
- WXX +
- prima jam est resoluta nempe D jam est
- resoluta
- Immpus
- resoluta, nam habetur: et D constans nilturbat:
- lumpqus
- erte catera autem partes liberari debent à
- numeratore in definito. Reperimus autem
- Comissis coefficientibus constantibus G, NV, G,) fore
- IM
- e
- b
- m
- b+C bb
- max imnp
- btet d, bbtcetbe - b
- np mup Imnp
- His addamus adhuc unum exemplum, ut
- melius appareat Lex:
- +
- bb + cc
- brerdre + verboted -idre
- p9
- np4
- mnpus Imnpus
- Equidem diversae prodire possunt expressiones, prout
- lmnpus
- mutatur ordo literarum, l, m, n, p. ete. A aut con-
- stantium in issis quantitatum, b, c, d, e, etc.
- sed si ipsae jam a numeratorisum definitis liberatae
- hpC
- etc
- mupus
- fractiones ut
- rursus resolvantur in partes denominatorem habentes
- fractiones
- simplicem, more jam praescripto, diversae. illae viae
- tandem destent in dem, poterenud tuc hova lioremata pespealetia condi.
- lmnp
- Imne
- m
- cirip
- mip lmnp
- idemaliter sic consequemur
- esto fractio habens potentiam ipsius X
- in numeratore, et de nominatorem
- compositum, velut X, resolvemus
- fractionem
- Imno
- primus in denominatore fractiones
- denominatorum simplicium modo jam
- praescripto, et ita res redit
- ad quatuor fractiones
- vales
- omissis coefficientibus constantibus.
- jam X N Quoties est in numeratore
- a vel ejus potentia quaedis, denominator
- autem est simplex, potest res reduci ad
- integros pares aut fractiones numeratoris con-
- stantis simplicisque denominatoris, hoc modo.
- = 1-
- XX X = b + bb
- = XX bX F bb - 6
- X = X - bXX + bbX - b - b
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 5, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068100:0003?run=73