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# Page: https://leibnizlegible.com/page/1815201908:1214
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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1157, page id 1815201908:1214
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1214
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001214.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.

OV ADR A TV R A CTRCVEF
FR XZ. duecis in sc ad PF O duccum in sc. FiacigiEUEVE R FD duccum in le ad
IKC, duccum in Cc, ica R FD ductu in se subalcerne ad s, _ hac ve IF9, duccum lC
3d F R XZ ductum in (c, ica PFO, in se subalcerne duccum ad Polidunt p. exie ita-
quere lolidum ex duccu C TR, in le Subalcerne ad d,ita Colidum ex duccu laDAHernO
ERXZ 2d p ac proine cum ha maonicudines prius sinc reducea dd cylindricas
quantiences illis aequales, etiam proporcionem racionum exhibuimus, qua MIIII InFCF
Ellasiplas magnirudines exlindricas, quod lusticie ve ex communis Ccomelta princi.
Ed cognolci porerit.
Biiscadem partes eplindriex ad paralten ppec ls agllalla reducipolline, premi-
simus enim omnia quae ad hoc iplum necellaria lune, ve plenius in quarea Ouadeatu-
b
eKOTOSLLIO. LXZNIEI
S lc parabole aXI  B BItattam dimitusin C, crectilq ad eundem
ordinarim C L, BL, compleaneur rectangula D FA, F OC.
es  diuisis del L ploporrionalicer in LI R L, PONanEUF
I, ee IL. qua Gudistene ordinarim consticuris ad axem.
Dicoprimo, vE AO ad CC lincam ira esse quadratum M O ad rectan-
Dico lccundo, ve cA linea DS adS l; ua eNe rectangulum NSL ad
gulum MFTL.
NIL. rectatS .
Demonstratio
cormO quadracum ad quadrarum MO una cum reclas MHIK eA ve AO
ad AC, de dividendo ve AO linca ad CC tea en en suaun M9 ad re-
ctangulum MFTK, quodcacp.
TT eR AOad AC, ita est a quadratum HO ad D C, hocesFTO quadrarum, est a Perpre.
decuncu uosuene epcuu caL.  Oica a Lc CBaE.
TFH
que
aucem IIO. quadrarum equale quadrato M O. una cum recrangulo M FTR; igi- mam para
n  i. i i    u  .     1 e   1    1at  1e    e  e  e    e           e   u e   e ut a p ani