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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 28, page id 834940469:0036
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=36
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000036.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.90
# 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.

E
dendo, ubiahenao Muiplicando, dividendo duo hingo
mid a3= a2b, ab 2F b3 ecradices ex vlcimo Facto extrahen.
do, plura Runcnomina in vlcimo producto, quam si codem
modo adderentur, subducerentur multiplicareneur, diuide-
rentur; binomium ba 2F b 2 a ∞ simplex quanticas 2b28
_ caedem quoque radices ex Facto exrraherentur; de ( plu-
xa ncnomina in vno producto quam in altero, impossibile
estveEne indefinire xgualia, quod est proposicum, reliqua
enim expriore demonstrarione haberi polunt.
Blcuru Fortassis ridebitur hoctheorema ob mulcas in-
ulcatas in geomerria voces quashic adhibere opor-
cet, 8 obmulta suppolica lemmata, que demonstrare pise-
bac, quoni 2 cuinis anal Axe vel prima lectione lunc obuia, cx
nacura enim operationu analyricarum omnino dependene.
Locushic requirie re aliquid dica de proporcione inter eri-
AADUIE ABP _ seCtOrEABIC; quod vehat, adierredu est ve-
rissime philosophorum axioma, nempe omnemnostram co-
enicionem a sensu ortum habere: inter proporcionesenim,
Tola commenturabilis sentu acringieur _e pertecte ab hum-
Da mence incelligitur; incommensurabilis enim a machema-
ricis olumodo ad huc coreplatur, ouatenus comensurabilis
cuiusdam racionis est lubduplicara, suberiplicata, ec. vel
extalium additione, (abductione. _c. genita: hoc est, quan
citas quae quancitari propositae ek incommenturabilis Cx eo
Lolummodo ab humana mence contemplatur, quod ex ali-
quocquantitarum cognicarum de proposice quanticati com-
mensurabilium addirione; subductione, mulciplicatione.
diuisione ee radicum excractione, componi possic: at extra-
aenus demonstraris manifestum estlectorem ABIP non
posse componi exaddirione, subductione. mulciplicatione,
diviione, Xcradicum extractione crianguli ABP de eraperii
ABEP: TrIANSUIUM AUTE ABP _C ETAPCZIUM ABEP CuppOni
mes csie quancirares inter se analvricas; e proinde sector A
BIP illis anaiyrics elsenon potest, hoc e ex quancitatur
iD(IS