# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-958800:0083
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-958800:0083?run=154
# Title: LBr. 56 · Bernoulli, Jac.
# Folio 42r, page id DE-611-HS-958800:0083
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958800&page=83
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958800/jpgs/default/00000083.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 154, 2026-09-10T04:06:04Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.96
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

jam ante duo decennium Truter & approbavit. Ut vero darius comprehendas
quid velim do Tibi exemplum: Pono in urna quadum reconditos esce calculos
aliquot, albos  nigeos,  numerum alborum esse duplum numeri nigrorum, Te
autem nescire hanc rationem, et experimentis illam determinare velle. Eduus
quemadmodum d2: 2 = X de nullo modo a quoquam ad algebraicam reduir itaque calculum unum post alterum (reponedo singulis vicibus illum quem edo
xisti, priurquam sequantem eligis, ne numerus calcilorum in mna minuatum
dobrervas, albus an ater sit quam elegisti. Dico jam, quod Cassumtis dua
bus rationibui rationi duplae quantumvis propinques, una majore minore
altera, pata 201: 100 e 199: 100) scientifice determino numerum observatio
num, quem si milituas, decies, aut centies aut millies p. probabilius tubi fi
at rationem numeri vicium, quibus album eligis, ad numerum vicium, quibus
eligis nigrum, potis intra quam extra has linites, rationis duplae 201:100 
199: 10d casuram; adeo ut tandem moraliter certus esse posus, rationem per ex
perimenta deprehensam verae rationi duplae quantumvis proxime accesuram
quod si nunc loco urnae substituas corpus humanum senis aut juvenus, quod
fomitem morborum intra se velut mnna calculos continet, poteris eodem mo
do determinare per observationes, quanto ille quam iste morti sit vicinior
Neque prodese dicere, numerum morborum, quibus ulorque exporitus est, ese infini
tum; demus enim hoc. notum tamen est, et in infinito dare gradus, et rationem
unius infiniti ad aliud infinitum etiam numeris finitis, aut pravice aut
quantum ad praxin sufficit, exprimi posse. Si morbi tractu temporis muli
tiplicentur, nove tum ulius observationes forent inflituende: et certum est
illum qui vellet ex hodiernis observationibus Londini, Parisir alibique iseitur
solitis de termino vitae Patrum ande antudiluvianorum juducare, à veritat
enormiter aberraturum esse. Exemplum de Trajectoria Cometae inda
ganda ex aliquot observatis ejus locis, fere huc est uncobdiovobov; neque
unquam illo uteru ad ostendendum propositum: quanquam et debito
modo applicatum mihi non adversetur, cum negari non possit, quod ob
servatis quinque punctis, quae omnia deprehendantur esse in Purabola
suspicio Parabolae jam major sit futura, quam si A eantum puncta su
iscent observata: etii eum infinitae sint linea, quae per illa 5 pune ta