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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 484, page id 1815201908:0541
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=541
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.88
# 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.

B O H A.
ad eog; de eora L BNI, NY P O incer e Mmilia Suc: SimilicOr R IUMSaNEUFND, O F. L. A,
MTC, Ostendetur erianoula D NL L. SF Umilia crianguliSBL. A, P NI C: 2d0OGuC ADUL
conrinuars possit: coltar AB C, D P. F. parabolas limiles esso primo modo. 5.
Sccundo aurem modo parabolas
parabolis esse similes, sic oltendo. sic
St ABC parabOIX diAELEF quXCUn-
i que A D dinilavrcunque in D e P
punctis, per gux ordinacim po-
ManEUEIAC, F C. SD aurem XTTIK
Parabola diameter YF dinila pro-
Porcionalicer in L _ M, _EPCT I
ex M ordinatim POHIEX FTK, NO.
Ouoniam est ve BD ad BF, SICTL
ad IM, eric ve quadratum AC ad
quadratum FC, sC ITK quadra-
cum ad quadrarum NO codemmo.
do sirurlum diameeri BD, IL. Pro-
porrionalirer dividantur, ee per di-
visionum puncta ordinacim ponan-
cur linee, ostendentur quadracaor-
dinacim policarum in vna parabolas
proportionalia esse quadraris ordi.
natim policarum in alcera. Ouod cu
in infinicum semper heri polsie, pa.
TeE ABC, FITK parabolas ese similes secundo modo. Ouod exac demonstrandum.
PROPOSITIO CCLXXVII.
Irad ABC parabola axem BI ordinarim pOlita AC, crectaque dia-
Dmeero C. D, Cumatur in ea punctum quoduisD, _ per A d D, para
Bola describatur cuius diamerer D C, IUIN GANEUTQ; AD: EUM P. F pOn2:
cur diameter, occurrens ABC parabola in C, _ AF. D in F, reCtX vero
2AAMIAEALM DET, VEF Elinea ad AG, BCH K linea ad D FT; _ permucando inuer
AC, C+ Bicem DFT, FTF aqualOSTUnE) SC BI ad F R;) per constructionCisieuEve
EendoveA G ad D FI, Sc L TadNTR: sed est ve A C ad D TF, id es B C ad F FI, (quia
P Tad NK, Sic BF es ad F K. Xc permutando ve L I ad BI, SICN R adP K: quare cum
TIB, NR P anguli laceribus proporconabus coceri rectisine, criangula L IB, NRF,
ram coram DDT F. OF similem tigurx AL BM C. quae openacio cum sinO Termino
ADIn H.
lincam L11.
Dico ABC. parabolan C au LCS ACHCML SL L B, VEF C linea ad
Demon-