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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 239, page id 175905688X:0261
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=261
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000261.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.86
# 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.

nod
de ti
10
pro
rectu
it
i
laiio
ide
COMMFATARZI LN LioRaNII. 239
omne id, quod decerminari pocest, atque ad magnicudinem spa-
cii, quod hae curra comprehendune, spectat, quemadmodum
Auctor innuie; sed etiam, quod spectat ad magnicudinem Colidi,
a luperticie aliqua curra comprehensi, atque ab hujusmodilinca
generati. Sic ut ex his omnibus constet, Authorem id praecipue
operam dedisse, ut, neglectis particularibus, ex praesuppoliris iis,
quae ab aliis relinrenta vel demonstrata essent, ca cancum erade
rec, qua difficilia, utilia, e. maxime generalia efsene, omniaque
paucis comprehenderet; quae vero Faciliora et lerioris moment,
nonnisi obiter tancum perstringeret.. Quod lane raro ab AvetO-
ribus hodie obserratum cernimus, cum plerique id cudenne, ut
eorum opera in amplissuma rolumina excrescant.
Cxeterum cum ex hac spacii aut Polidi magnicudine deinceps
Facile sicinrenire ejuldem cenerum graricaris, non abs retuerit (I
lic similicer modum, quo id investigori postic, uno atque altero
exemplo exponam.
Tgitur ad inveniendum, exempli caussa, gravicatis centrum
Parabolae AB C ac ejus portionis A P F C, abscisla videlicet Per
rectam F F ipsi A C parallela: SUPPONO CCNETUI EOEIUS ABC
esse HI, Parabolae autem F B F centrum esse I, e centrum portio-
nis AF F C esse K. Deinde facta B D ∞ an A D vel D C ∞b, F. C
relC F DC, BHI DK, _HK∞Y; jungo AB, BC, EB, _BF.
Duibus politis, quaero rationem, quae est incer criangulum AB C
S criangulum EBF. Hlinc cum ex natura Parabola quadratum
ex A D Ecubb sic ad quadratum ex F. C SCue, Sicut DB seu a ad
DB: