# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0108
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0108?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 74, page id 1041163592:0108
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=108
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000108.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.85
# 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.

PTTILOSOPMISE NATIDRALIS
DEMorO ctum M perpetuo tansic lineam Rectam. Frso duxe sectiones Con
GOnPONDM piex pransib per eadem quinque puncta, contra Corol. 3. Lem.
xx. Tgicur Puatum M verlari in linea Curra ab surdum cAt. g. F. D
eROPOSITIOZXII. PROBLEMA. ZIV.
Trajectoriam per data quinque puncta describere.
alia duo quaeris B, C, quae poli nominentur, 28C rectaS AB, AC.
Dentur puncta quinque , B, C, F, D. Ab eorum aliquo A ad
hisque parallelas TFS, F R G
eet punicum guartum P. DC.
Ccinde quatris Lis LplIS
oea per punla  A. B, C3 23D.
inde a polis duobus B, C asc per punctum quintum D infini-
taS duas B D T, CR D, novissime ductis T F S, F R Q (prio-
rem priori ec polteriorem posteriori) occurrentes in Y SE R. DC-
nique de rectis FT, F R, acta recta tr ipA Z R parallela, ab-
t
T, F R proportionales; _c sI per
carum terminos F, r ec polos B, C actx Bt, Cr COnCUrranE in
d locabitur punctum illud a in Trajectoria guaelita. Nam punc-
tum illua a (Der LemMa XX) verlatur in Conica Sectione per
puncta quatuor A, B, C, P transcunte; ex, lincis ar, Ft evane-
F.D
scencibus, coic punctum d cum Panclo. Llan o
laem