# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068502:0103
# Permalink to this reading: https://leibnizlegible.com/page/00068502:0103?run=74
# Title: Leibniz-Handschriften zur Philosophie LH 4, 1, 4a
# Folio 16r, page id 00068502:0103
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068502&page=103
# Source image: https://digitale-sammlungen.gwlb.de/content/00068502/jpgs/default/00000103.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.98
# 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.

tunc nouae Ellipses quae nascentur continue accedent ad
parabolam, ac postremo plane in eam abibunt, cum scili-
cet distantia recedentis foci facta erit immensa; Unde
et proprietates talium Ellipsium magis magisque ad
patabolae proprietates accedent, usque adeo, et postre
mo in das labeant, et parabola considerari possit
tanquam Ellipsis, cujus alter focus infonite absit.
aleoque omnes proprietates Ellipseos in genere
etiam de parabola tanquam tali Ellipsi verificentur
Et huiusmoddi quidem exemplorum plena est Geometria
sed natura, cujus sapieritissimus auctor perfectissimam
Geometriam exercet, idem observat, alioqui nullus in ea
progressus ordinatus semaretur. Sic motus paulatim
decrescens tandem euanescit in quietem; et inaequalitas
continue diminuta in accuratam aequalitatem abit;
ita ut quies considerar possit, tanquam motus infinite
parvus, aut tariquam tacilitas infinita; et aequalitas
tanquam inaequalitas infinite parua; atque ea ratione
quicquid vel motu ingenere, vel de inaequalitate ingenre-
te demonstratum est, etiam de qui ete aut aequalitate
secundum hanc interpretationem verificari debet, ita ut
regula quietis aut aequalitatis certo modo concipi
possit tanquam casus specialis regulae de motu aut de
maequalitate. Si vero id non succedat, pro certo ha-
bendum est, segulas esse inconcinnas et male con-
ceptas. Unde etiam infra artic. 53. ostendetur quo-
malo lineae repraesentatrici variationis hypothesium re
spondere debeat linea reprasentatrix variationas euen-
tuum; cum tamen Cartesianae regulae delineationem
praeveant monstrosam .. . ... horrentem