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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 9, page id 1815201908:0066
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=66
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.89
# 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.

POTLN FIA.
aqualc. Ouare CD ad D A ve GD ad D A; led ett (B ad DA, ve CB 2d
BA, igicur ve CB adt BA sic C, D adt D A. Ouoadisiur AB lineam produXI
mus, ecc. Ouod erar faciendum.
P R O POS
GInE ABC ADC criangu-
Lla, inaqualis alcicudinis, (u-
per eadem bali AC consticu-
ta; oporret ducere lineam P F,
Parallelam balI AC, vE F L. ad
MF datam habeac racionem
TV ad XV.
Constructio, es demonstratio.
Onsicuancur per B & D lincae
BCo, DIT paraHlela ba(I AC:
_ DF quidem occureAEcriangulo ABC in F; dein AD producla,  ec B C. HI.
DCX OcCurraF in C, 29aTUTPeFFI, linea AFII. Occurrens BC lined in I: diuida.
curque BIin R, Ve BI ad TK datam habcacrationem YV id Y LL3 _ Cx K dc-
ictarur linea R A, OCCurrenS B C linex in L, cum per L ducacurlinca L L parat-
selabali A C, occurrens AB C criangulo in F. et L, rectae C. D productae in F, e
AD. LINCX IN NI.
Dico F L ad MF datam habere rationem in TV ad VX. P F recta ocCurraE
Lincae AIin N; Duoniam II AD, TICD criansula super eadem ba(I LID XinteE
ealdem parallelas consticuta lunc, crunc L. F, MN linex incer le aequales: dempta
isicur communi NF, vel addica M L, crunc L. N, FM, linex aequales; IgIEUE VEL L
ad T, N SIC P. L est ad M F, sed F P eAt ad L. N, 1d eAt BK 2d KI ve FV ad A;
IBICUEVET V ad V X, siC E. L eAt ad M F; duximus igirur lINCAM PF, Xc. Ouod
crac praectandum.
Idem parec euenire h dicta duo criangula, aequales hrabeane bales in directu positaS.
P R O POSITIO XVII.
VIE AB linea divila recunque in C, opOr-
cecillirectam addere BD, VE COTa A D SIE
ad AB, ve A. C est ad BD.
Constructio, ex demonstratio.
Elcripco Laper AB ve diametro, circulo AILB
erIOREUE Cx B canGCNS F B, gux SIC edia INCCF
AB _ AC; dein Cx L per F centrum circuli AIIB
recta duCaEUE F C Occurrens circulo in FI, 2dda-
curque linea AB quaedam BD, aequalis ips P. II. Dicotactum eAe quodpetieur.
Ouoniam FTB, B D linex sunE aequaleS, CrunE FTF C BD A rectangula inter le
aequalia; sed FTF; C rectangulum est aequale quadraco P B, id est ex constructione
rectangulo C AB, isicur C AB, BD a rectansula sunc inter sc aequalia; quare
AD est 2d AB vc AC ad BD. dacaeixicur lincae AB qanda adiCCIMUSYE, etC.
Duoderac poctulatum.
PR O POSITIO ZVITI.
L1O XVI.
Aco duabustcccts AB, CD, rectasaddere, Vel dettatiete, Mdala
ratione E ad F; ve compolicae vel reliquae daram habeane racio.
nem GHI ad fIL.
Con-