# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0262
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-958803:0262?run=74
# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 130v, page id DE-611-HS-958803:0262
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 131r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=262
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000262.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.80
# 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.

tamen metrum in processu hupes solutionis observatar.
Nam omnis quantitas differentialis est utcu unominimu
gradu inferior sua integralicam rgitur sst vel ejus duatu
e
3d  sit infinatcaimalis primu gradus uriqsa B et sele MM
P
H.)actejus duplad Dd seu AC:) non possunt non
esse nfra primum gratum seu erunt differentio
differentiales ad minimum. Ergo etiam aAE erit intra mentem autor  u.
esse debebit sed hoc non sit in roto processu et d
seu DCF) est differentiales urmmi grades quod ea ipormet
processu sc colligitur: Arrangula E5C2) et LF G sunt
simitia Tanc fuctis frrangulu
nabiles. Erco et frcarmuli Es(E) slaterra
sunt accomparvilla. jam recta ECEd est primigradus, ergolmpossibile ess
∞
ac comparabilis interdlum quidem gueri potest, ut differenti
quantitatum ordinariarum sint, secundi orans, ut
ipraram Ad vel ACD) quisipe angulum ad LC
facientium a recto massignabiliter differentem sed
ipsat HE differentie sunt gracles sprimui cum tamen
iatu
ut dixec, deberent esse secundi. Emno quod amplius
vest, eaefigura inspecta proassue solutionis vulio
peipras quidem desse recondi grady, sed primu
e
quod utique prorrus in congruum est, differentis seu
elementares quantitates esse homogeneas isristerminis
seuquantitatibus in tegralibus. Id autem sic esse ia
patet. Nam R(D) dupla epsius  B B seu iprum
est viimu gradus ergo et ipra da Ad Ab ipram
autem RCa) primi gradus esse eodem modo probo ut
9F.
e
DC.
lel
ante nanper isirum solutionit procetsum Srcangulum
 simile ext friangulo AX  hujus autem anguli
sunt aes sc arsius nabiles ergo latera, accomparabilia. Aaque et
(D
feranguli d
latera sunt acvom paradila siata
 latera sunt accomparibiiad nomisset, rectum facrentenergo si proba essent catera sequeretur
seradum ppimum seu minimurallifferentio differential qui simpliciter Cunseffiorens ennumeratio eorum exquilcus eligendum
)Sit gradus secundi, alioqui foret issi CCE) in idsecundum aaptissimum ut desideratur. Quod silt) essvicinr