# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1677894601:0337
# Permalink to this reading: https://leibnizlegible.com/page/1677894601:0337?run=74
# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 157, page id 1677894601:0337
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=337
# Source image: https://digitale-sammlungen.gwlb.de/content/1677894601/jpgs/default/00000337.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.93
# 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.

TB
Si tres radices Cunt aequales Parabola erit cuspi- Fis. 75.
aata in vertice. Ft hae est Parabola Neiliana quae
vulgo Temicubica dicitur.
Si radices duae unt impossibiles, habetur Parabola Fig. 73, 74.
pura campanitormis speciem septuagesimam primam
constituens.
In quarto casu aequato crat y = aX ) bXX ] CX AXVIII.
d, e haec aequatio Parabolam illam WV allisianam Parabola cubica
delignat quae crura habet contraria e cubica di-
Ci lolet. Fc sic species ommino sune leptuaginta
duce.
Fis. 71.
Si in planum infinitum a puncto lucido illumina-
tum umbrae tigurarum projiciantur, umbrae lectio. rum per Omoiu
num Conicurum semper erunt sectiones Conica, ea
Curvarum secundi generis semper erunt C urrae se
cundi seneris, exe currarum tertu seneris lemper
erunt Currae tertii generis, et sic deinceps in IntimI-
tum. Ft quemadmodum Circulus umbram proj
ciendo generat sectiones omnes conicas, sc Parabola
quinq; diversentes umbris luis generant e exhri-
bent alias omnes secundi generis curras, a sc
Currae quaedam simpliciores aliorum generum inve-
niri possunt quae alias omnes eorundem generum
curras umbris fuis a puncto lucido in planum Pro-
sectis Formabunt.
Diximus Curvas secundi generis a linea recta in
punctis tribus secari posse. Florum duo nonnun. eta duplict
quam coincidunt. UE cum recta per Ovalem intr-
nite parram transit vel per concurlum duarum par-
tium Currae se mutuo secantium vel in culpidem
cocuntium ducitur. Et siquando rectae omnes in
plagam
XXIX.
Genesis Curva
XXZ.
Curvarum pun