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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 987, page id 1815201908:1044
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1044
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

V N CVL A CF LINDRTCA.
eROPOSTTIO XL.
VIEA B circuli A B C diameter, d lincx BP, PF, F D, L aquales
arcus subrendane, ex quibus demiccancut BCL PCHCMCMLAICS LLL, F I.
DHI, C C, ad diametrum AB.
Dicorectangulum sub BG, ex sub AP, Subcendente arcum P  HI, qu
ona cum arcu B P, consticuic semicirculum, ae quari rectangulis (ub B P HE,
Cub PB, et duabus Pl L11002B,a211aorBat1,0.
Demonstratio.
secund  PR. P. L de PL. leu PB. Cctu1BL. 23~ 11 l L.D B1.
quarrum sub DH, CG e DC, hoc eA BP.
Scendimus praecedenri propolicione rectangulo P A, B R xequari B P K rectan-
ulum: e propolicione leselima octana rectangulolub. l LL aGuateet
se rectangulum sub PK, B I camquam vna, ex P B, hoc cM BB; ex in cadem propo-
sicione est demonstrarum rectangulo P A. IFI, aequari rectangolum sub R. I, DFT S.
mul sumptis, _ F D, hoc cA P B: icem rectangulo sub AP, HIC aequari rectarigu-
Ium (vb DFI; COlimul Tumpeis, d sub D C, hoc cM BP. Manitestum igitur, cectan-
sulum sub AP e DDEquale ese omnibus rectangulis; quorum primum cst. B PR,
Corollarium.
rectangulum sub cold diamerro BA, e lub eil lubtendence omats  el
DEa laceca, depco viCO, dquu OmibusEcclatiBulio lupracletis de reclansulo i.
super ACV.
I Odem discursu demonstrabimus aGuales   Tocu lemietreulum lubrendal,
P AD POS
inseribatur semicirculo ongulx à cylindro recto decultarx, quetia-
D beac aequalem alcicudinem diamerro baleos, quodlibet polygonum
regulare, de secundum lacera polrgoni hant sectiones quae line exicxlin-
dei, ex quo decustara est vnsula, aequidistantes.
Fruncomtia plana Cimul Cumpeata aslata ecate
quod tic lub cora diamerro, d a Glod olhiia lacera polysoni tubeen.
Demon
dic, detlipcovicimt.
  1. i.   e  1     1 e      e   1 11.  1         .     t n o  i 1 pt.  di 1.  e       qu eutu