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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 842, page id 1815201908:0899
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=899
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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 0.87
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

GH, Guc HIC
VEKNS BLA NL
Dico puticta BOC esse ad paras
bolam cuius latus reccum eAt F. C.
Demonstratio:.
Vncta AB delcribatur supCF AB ve
dianrecro lemicirculus BMI AsOCcurrenS
neis in MI; iungancurque M B; BII.
igicur an sulus AF B per hypo.
ectus eAt, Cemicirculus BMA
P F. cenerum circuli ABC, Xt
NHL lineis = aqualeSTUNEB M: CuNEAuTeM
anguli in semicirculo B MI A, adeoque e
anguli BM FE recti. ergo rriangula BMIF
Similia sunc, adleoque quadracum B M est
ad quadeacum BAI, vE quadracum BII
2d quadratum BII. quia vero anguli ad
M, in semicirculo rectilune, _ M B rectx
AUCHMEUF CX CCHETO CIECUHI AF CY, rectae
AC in M biffectae sunc: inde cum IR.
AC line aequentur, illarum dimidiae L. K, MI C aequales sUnE: X quia O K per hy.
pochelim aequancur FYG, reliqua MEI, id cA, ve iam octendi, MB reliquis LO
aequales sunE. igieuE vE quadracum MB ad quadratum MB, SC P O quadrarum
est ad quadratum LO: led ve MB quadracum ad M B quadracum, sic FTB qua-
dracum est ad quadrarum IIB, id cM I. B linca ad lincam I. B; quadracum igieux
F, O est gd quagracum P. O ve BP linea ad lineam BI, parabola igitur est
BOC, axem habens B F 5 ad quom ordinarim POTEX TuINE FO, FC. quia
aurem FC, aequacur B F, criam FC larori recto aqualisest. Ouod orac demon.
Aranduma et I AicI.
381 5 t c L 579A
ib ba monm eo RR DPOSTFIO C CLVI
EAX AC, BMI diametri circuli A B C decustene sele ad rectos in
LH; ponantur aurem per A, B, C concingences, et recta ducantur
AC: Occurrences circuli peritoero in C punctis, per que ponantur F. I
parallelae AC ex xquales lineis GC: linere verd F. L. x quales tranc re-
ctis, A G, F L.
Dicopuncta IL ad parabolam ette virrualem
TIFCCL POnanEUE LK aeqyales. A G SIvA A HL C, normales aurem adBD;
a qua bitariam scceneur in L. L.: hanc deinde linex KO aequales sineis
eren. 1.
Demon-