# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0281
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0281?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 257, page id 175906937X:0281
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=281
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000281.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.81
# 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.

at
net
AIC
ente,
seri.
tam
CUIF.
tam
um
D
16
L L B. IL. C A P. II.
tujus scaa LOCO X X: Crit b y - a a ∞ vV = 2 a V + a a,
L 2aV = 2 aa, hoc est, omissisiis, quae le mutuotollunt, erit
by∞ vr.
praedic Lhcoreatis leptimi conrertim, ac proinde Locum
qualicum esse Parabolam. Ad cujus speciticam determinationem
elto in appolica figura ipsius x inicium immutabile punctum A,
IInde Ratim apparet, reductam esse aquationem sd Formulam
intellisatur que eadem x a praedicto puncto A per rectam A P. in-
detinite le extendere, licque dacus vel assumptus angulus, quem
comprehendunt y ee x, aequalis angulo AG FI vel FOFI. Dein-
de, quoniam raequatur x  a, producenda est recta A F. versis A
ulque ad C, ita ut AG SIc ∞a; _ ex C ducenda eAtOII, Faciens
angulum EGFI vel FOFI dato vel assumpeo angulo aequalem,
iplaque CHI lumenda eAt pro Parabola diametro, ad quam si per
ejus verticem C atque latere recto FG ∞ b Parabola describatur.
ut C D: dico curram CD esse Locum quaelitum.
Sumptoenim in ea punctourcunque, reluri D, duct aque DF
ipEiFIO parallela, si eadem D P vocetury, cum GF (ic ∞ x L a
seur, aeque ex natura Paraboles FCFLrectangulum ∞ quadrato
ex LIDsireOE, erit byovr, sive, restituro x L a locov, by
∞X X. F 2aX + aa, seu by - a 4 ∞ X N F 2 a X. Ouod determi-
nandum, demonstrandumque crat.
Ouodsixquatio tuiset by =a A DXX - 2 ax, eadem per omnia
mutatis mutandis secundum Regulam instiruenda fuistet opera-
tio, cecidisset que eo calu punctum C inter A e L.
IE H
Fodeis