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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 37, page id 834940469:0045
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=45
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000045.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.87
# 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.

S C H O I Y V. M.
a opus est renic demonstrem maiorem duarum me–
illarum artlimerice concinue proporcionalium incer
duas inxquales quanticaces maiorem ese quam maior dua
rummediarum geomerrice concinue proporcionalium in-
rer caldem, _ igitur huius propositionis approximacionem
prccedencis esse exactiorem, quod ets Aat; PraesCdente 12-
men ob Facilicarem pocius veimur.
PROP. XXTII. THCBLS.
Inc duo polrsona complicata
DA, B, nempe AextrahyPCF-
Bolae lectorem, B intra. Continue.
cur leries conuersens horum po-
gonorum complicatorum secu-
dum mechodum nostram subdu-
plam deleriptorum. ica ve polygo.
na excra hyperbolam sint A, C, Fi, KE, eec, d inera hyperbo
la B, D. I,L, ec; Sicque serici conueroeneis terminatio seu
livperbolae lector Z. DicoZ maiorem ese quam C dempto
erience excesus A Cupra C. ScexceNus C Supra C quarra.
PAES ExCeNUS A Lupra C, X exCCHUS C LuPra FI qUarEA PaES
excestus C supra C. conrinuecurquehaec secies in infinitum
veeiuscerminario (IEZ. CxCe(SuIS A Supea C maior est qua-
druplo excessus C Tupra F, _ ideo exceNus C lUPPa R minOr
esexcesu C suora C, est erso F maior quam C. Deinde ex-
cetus C Supra F maior es quadruplo excetus P Cupra I, de
ideo excestus C Cupra C muleorarior est quadruplo exces-
PusF (upraK. deigitur excelsus C Lupra Imaior cA excelsu
F supFa Ri CuIQ; F maiOr (IC qui C ani FectI CAK cciamaio-
rem eAC quam EI: Codem Drortus modo demOnSErATUE in OI-
relerierum A, C F, K; A, C, C, II continuarione, cerminum
quemcunque Ceriei A, C, E, maiorem esse quam idem nu-
IMCFO