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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 688, page id 1815201908:0745
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.90
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SPIR A LIS.
AP PL IC A FID.
Vod iptum in parabola exacte re.
praelencatur. Diuidacur parabolae
cansens in 4. parres requales ductilq;
diameeris CK, DL, E. P, BB, iunsC AN,
AHI, ANI, AB. PercaIgitUE, quxe ad pro.
volicionem decimam terriam huius ob.
servanimus, manifectum est, segmencum
spirale A F NO a parabolicO A F NO, spi.
rale ire A N HI a parabolicO AC, NH, _ SiC
deinceps, reprelereari. Duate cu prop. 16.
huius oltenlum Fueric cam ese leomento-
rum parabolicorum rationem, quae est in-
ter 137, 19, 37, iltud eciam Pappi cheorema
exacte convenirparabolxe. Ouod erat de
monstrandum.
hoeals 29. applicatur parabola.
MI in lpiralem ex una reuolurione or-
eam a principio spiralis recta linca ce
ciderir (AC:) spacium comprehensum
Tub spirali e linea prima (AB) eam habet
racionem ad spacium comprehelum sub
prima (picalis parEC (AFC) e lincainci.
denre, (AC,) quam hiaber cubus prime
lincx (AB) ad cubum linexe incidentis
APPLIC AT1O.
Sco parabola AG CD, e ductocen.
sero A circulo rectam A B SccantCin
E. C F diaMICLLTUINSaCuTqUe AC:
habere rarionem quam cubus AD, ad cubum AE: hoc est quam cubus
ROPOSITIO XVIII
cus pet d
BA ad cub AF.
Re
Dico seomencum parabola AD C ad scomentum AC C, candem
Demon.