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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 538, page id 1815201908:0595
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=595
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.
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# After the first blank line: the recognised lines in reading order, one per line.

AIX PER BOE A.
5.
B
Schortot.
Ldes. incenue Lector varios esse
casus praecedentium proposirio
num quae de constructione hyperbola
tractant per interpoptionem tata
FY, C: T: primo etenim scer
rum ITI quae mediae sint inter rectas
distantes sunt AB ex C V. Tectm-
do vero eadem recta stot muicem
occurrunt est puncto K. quod ist
rune est. Iet
te aequi-
etiam sectionic
rio denique sit concursud cnrundem
linearum in T puncto per quod
sectio nulla ratonc, licet in infini-
cum producatur, transire porest. nihi-
commus verae sunt  senuina s
derbola. ex eo solo capite quod re-
caneuta LLC; aequalia sint qua
dratis TFI. quod ex iis quae prae-
missa sunt liquido constat: rectan-
culum nat t: TC ac L L  re-
11
etaneulum proportionem habet
compositam exratione CL, ad C+ T,
 ex ratione TF ad TF. quare si
minier quadrarum TTL ad L2L
quadratum; rationem habet exqs
dem compositam: verum ellam re-
TII quadratum provortionem ean-
dem habet quae inuenitur inter re-
crangula ALC e ATC. Unde
manifesto constat, ex iis quae prae-
misimus, sectiones TII esse hyper-
bolicas; in quonis casut hic exposito:
qui commodisime inservire porerit
ad cuiusuis hyperbola comprutio.
nem.
ctangulum AIC, ad AIC re-
ctanculum racionem habet compo-
sitam ex ratio CL, au C L hoc
est ex ratione YC ad LC, ex ex
ratione AI ad AI. hoc est TF ad
TF: icitures quadratum TII, ad
s e e s  nt  sau  s e   e 1