# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0371
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0371?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 337, page id 1041163592:0371
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=371
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000371.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.89
# 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.

PRTMCIPTA MATHEMATICA. 337
Corol. 2. FF undlarum iajorum vel minorum VC- LIBEK
Ocitas augebitur vel diminuerur in subduplicaEZ SECONnOS.
ratione lacicudinis.
Hlaec ita se habene ex FIyporhesi quod parces
aquae recta alcendune vel recta descendune; sed
alcensus d descensus ille verius At per circulum,
ideoque tempus hac Propolitione non nisi quam-
proxime definitum ese aftirmo.
PROP. ZLVII TITEOR. ZXXVII.
Culsibus per Fluidum propacatis, sinculae Fluidi
particulae, motu reciproco brevissimo euntes 
redeuntes, accelerantur semper es retardantur
pro lece oscillantis Penduli.
MHC
Designent AB, BC, CD
ac. pulluum successivorum
aequales dictantias; ABC
plagam mocus pulsuum ab
A verlus B ProDagaTI; L
F, C puncta eria Phylica MC.
dii quiescentis, in recta AC
ad aequales ab invicem di-
stancias ATa; F C, Ff, 65,
spacia aequalis perbreria per
deu cediproeo cingulis vibratio.
rundem punctetum; et F F, FC lincolas
tempus eorum vibrations unius cum iphus parci
bus provorcionalibus; sic uE completo TemPOTC
quoris PF vel PASh, S demictatur ad PS
erpendiculum FTC. vel hh de capiatur FC aqua-
1o L 2 tet Lh entum Phylicum L rEPETIAEUE
2
a illa r
QuXe Par
nibus cunc ec redeune; e, P, Y loca quaeris incer
Plysicas seu Medii parte lincares punctis illis in-
terjectas, ex successire cranllatas in loca cP, PY et
ef, f5. Rectae Pe aequalis ducatur recta PS
Bilecetur eadem in O, centroque O de interrallo
OF describatur circulus STP I. Per hujus cir-
cumterentiam totam cum partibus luis exBOnaTuE