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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 402, page id 1815201908:0459
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=459
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 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.

D O. L A
eROPOSITIO AC
cunque OcCurrente pAabT I D Ponatur AC, d FD Ci aequidistans
CIEA B diamerer parabola AD C et ordinarim posiva BC et conxin.
Doens A E. diamerro in super A B aequidistee F C ductaque A F qua-
AB, OCCurrenLG; A C H C.
Dico LC aequalcena L L1.
Demonstratio.
DOnanTUT PEFD _ C puncta reCtX TK, N R
Parallelae B P; crune icague eres in conci.
nua analogiaa L I, ID, TR EE MGAMN, NYR.
Tgicur quadracum FD ad MN, quadracum
eam habecracionem quam IL. 2d MC. hoc
eAt I A ad NEA; Boc cst D A ad FTA; hoc
CA D F ad HI F. CA aucem FC xqualis M A.
isicur HP eidem EC aequalis eAt. Duodtule
demonstrandum.
PROPOSITIO XCI.
IIdem policis, per N dUCaEUF A NO.
Dico ID ad MN eandem habere
rarionem quam haber F. Had FO.
Demonstratio.
BOnacur PN O xquidistans A B, dit hac P 9, aequalis R O pEF precedenECM.
Similicer per eanlem erie F C aequalis F IT: eAt aurem F C ad F9. VE AF ad
AP, hoc est ID ad M N, igicur _ HI ad F. O, eandem obciner rarionem quam ID
PROPOSITIO XCIL
Darabolam ABC sustendat linea
AC actaque per C contingente
que diametroper A polita occurracin D,
perficiacur parallelogrammUM AD F. C:
dein sumpro in lectione puncto quouis
B, agatur per B diamerer F C+ secanS AC
lincam inF, cansencem C D in H pun-
ct0, ver quod ducta LK parallela AC,
ponacur lC quae LC linex occurracinl.
DicoOF, HTF, L. F lineas in continua
este arialosia.
Demonpratio.
OF aHF, sic D A cst ad TA: sedve
DAadIMMCMICCAAdLF, igiturveOF
ad FIF lic HIF ad IF, Proporcionales igitur
TUnE GF, HIF, L. P. Duod erac demonstrandum.
R
C
ad M II. Duod tuic demonlclandum.
 at   s  e u i te   t i .  e   s e  t s s e    t  ete  s  te   t e i  es   i  e t     t     u t e t e t    id