# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0414
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0414?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 357, page id 1815201908:0414
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=414
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000414.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.90
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

F. P
LL LCL
etionem hoc libro explanadam aggredimur ab anciquis com
rectunsuli sectionem dictam, ab Apollonio ee recencioribus
parabolam nominatam, atque in ciuldem explicarione nonni-
lmoroliores erimus; quoniam plane lectio illa ad circuli qua-
dracuram et alias equationes cum circularibus perticiendas necestaria cA,
ob admirandas cius proprietates qua cum circularibus ec ellipricis plane
COnMexX (UNE.
ta
A R Gi V ME N L V M.
 det  . parhes omnino octo.
Prima sectionem econo edueit, passione (que illius essentiales es reliquis
fundamentales exhibet.
Secunda linearum in parabola proporcionem eam continnam quam dis-
cretam considerat.
Tertia sectionis focum, ex mutuas parabolarum intersectiones Geometrice cs
Duarca parabolarum, sese mutuo, vel circulum intersecantium contemplatur af-
fectiones.
Duinta parabolam tam convexam quam concauam quadrat.
Sexta, parabolas e segmenta inter se consere, dein maximas sectioni inscribit fi
curas.
Septima varias exhibet parabolae reneses quae tum ex lineis, circulis, ellipsibus, tum
ex ipsa oriuntur parabola.
Octaua miram exhibet parabolarum parallelarum cum hyperbola inter asymptotos
posita, tam in ortu, quam reliquis proprieratibus simbolisationem.
DEFLNLFIO N F S.
lameter parabola esrectamentapalabora aucca, que es
lineas cuidam aequacalces bitariam diuidir, de siquidem ad rectos
Illas leceransulos, datsaleerul.