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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 668, page id 1815201908:0725
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=725
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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.

PTR ALTS
C .L est adV HI, vePF
ad R Fl. quare cum eriam YV
sIC ad VHI, VE RR ad XHI,
Cric per 24. 5. TOCa AY V ad
V FE, VEFOTA PFHIK IT adRII,
hoc est ve OL ad IV. Ergo
Per 5. Archimed. de quadra-
cura parabolae punctum L, el
ad parabolam. Similiter osten-
demus de omnibus TP puncto.
Punctum quoque B ad para-
bolam, esse es manifettum
nam AX est ad Z TI, VE AB
ad BP, hoC eA, VE P H al
TE, KFI ( quia veraque AP,
P, RFT bilecta cAt in B dc H)
hoc estre BCB ad BX. DC-
nique quod sinc ad candem
Parabolam, inde patee quod
Omnes linex AC, AI Cx CO-
dem puncto A corediantur.
VeraioieUE SUnE, quae OpOEEO
bac demonstrare.
APPLICAFTC
PARABOLA.
Epraa legmencum parabolicum secundum B H Y A, (pi-
ram ex lecunda reuolutione: criangulum vero II AHI, circulum se-
cundum; recta HIK HI perimerrum secundi circuli, BHI, YHI, BP sccun
dam in spiralilineam BFI reterunE.
Ouod si Cumpra PS aequalirursum ipH A B, ducacur parallelaS L. cul
OCCUrrAE A Y, HIZ in L, _ Facta LNI dimidia ipsius SL, iungaeuE
A Xa L, accum moveri perganemodo supra explicato inhiniex illa lince
RL O, ALZ, luis icerum incerfectionibus MMI concinuabun eandem
Parabolam, de seomentum quidem AHI L. X A repraesencabierertiamre.
volutionem: criansulum L. AL cerrium circulum reteret: Aeque ica
procedendo vlcerius iuxca methodum iam praeseripeam, quarram eriam
ee quincum renolutionem, de sic deinceos in infinirum in parabola exti
bebimus.
Oux cum ita Cinenonne iure meriro spiralem esse dixerim cuoluram
siuc expantam parabolam? Veriim id planius adhuc Rer ex lequeneibus
propolicionibus; nihil liquidem de spirali vel Archimedes vel P’appus de.
monstrarune, quod vicissim in parabola non exhibebimus. Ouod prius.
quam prolequamur, lubet duobus adhuc sequencibus Theoremacis can.
dem analogiam amplius declarare.
EX X VE IYR ALRFL.) ErGO XqUA.
I