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# Title: LBr. 56 · Bernoulli, Jac.
# Folio 44v, page id DE-611-HS-958800:0088
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 45r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958800&page=88
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 154, 2026-09-10T04:06:04Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.95
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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D Reductione Broblematum differentialium ad ouadraturas, de sepa
ratione indeterminatarum.  nulo dipotare ultercs, sed rem in
medio relinguo; nemo enim me lubentius de us rebus tacet, in qui
bus certitudinem asscequi nequimus. Unum huc subit occasione sum
mationis differentialcum, quod liceat ex se percontari: nempe an
aliiquod Tibii notum sit exemplum lroducti ex Elemento indeterminate
et quantitate rationali quotcunqu terminorum nultiplicata vel divisa
per raducem qualencunu quantitatis alterius rationalis quotlibet eti
am terminorum (talisque, ut exponentes potescatum indeterminatae ubius
sint intagro et poritivi, sed exponens maximus in vinculo plusquam unitate
superet maximum extra vinculum) quod absolute sumari possit. Nam
si nullum tale detur exemplum, pato me aliquid praHitisse exhibendo
unersalem Canonem, quo ejus modi differentialia, quae mojamum expo
nentem invinculo vel minorem vel non plusquam unitate majorem ha
berit maxima exponente extra vinculum, aut absoluta sumantur, i
sumabilia sunt, aut saltem reducuntur ad talia ubi exponens in vin
culo plusquam unitate suparat exponentem extra. Intelligo autem
quantitatem quoad fieri potuit vinculo liberatam; nam ex. ga.
invinculo binario suporet exponentem extra; quoniam reducitur
Accipiam brevi ab Abbate Varignonio duo exemplaria Historia Acade
mi scientiarum pro ano 1701, Tibi Fratrius mittenda: Tuo adjungi cu
rabo quartam quintamuse partem Positionum mearum de Seriebur
quaerendum est inferucas sched as
Infinitis; expectaris vicissem his nundinis a Te scriptum enionara
de voit, cuu utinam adjungere posces quae de Conditionibus olim
nam breve est.
scripsisli. Velim etiam exemplum, atiquod, legati conditionali
sunt illic qui solvuntur quamcm unus ex pluribus
mihi suppedites. quid item par reditus qui constituuntur in plures
ein quorum vitam constitutus est reditus vivit
sumationem recipit quantilas dxaa xt, etiamsi exponen
ad Xdivaax