# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0340
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0340?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 306, page id 1041163592:0340
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=340
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000340.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.93
# 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.

306
PHILOSOPHIS NATVRALIS
DeMoro dem relocitatem acquirie in utroque casu, ue Galilaus demon-
LonrOROM. AraVIC.
Cas. 3. Eadem est aquae relociras cAuentis per Foramen in la-
tere ratis. Nlam si Foramen parrum (C, uc interrallum inter luper-
ficies AB de K L. quoad sentum eranccat, et vena aquae hori
rontaliter exilientis figuram Parabolicam estormet: ex larere recto
hujus Parabolae colligetur, quod relocitas aquae cAtuentis ca lIC
quam corpus ab aquae in vase stagnantis alticudine FYC vel FG ca-
dendo acquirere potuisset. L’acto utique experimento inveni quod,
H altirudo aquae sagnantis supra Foramen cilet visinti digitorum
ex alcirudo foraminis supra planum horizonti parallelum eset quo-
que riginti disitorum, vena agua prosilientis incideret in planum
illud ad distantiam digieorum 37 circiter à perpendiculo quod in
planum illud a Foramine demitcebatur captam. Nam sine resisten-
cia rena incidere debuisset in planum illud ad distantiam disitorum
40 existente renx Paraboliea lacere recto digitorum 80.
C.a5. 4u Ouinetiam aqua cHuens, si Cursum feratur, eadem core-
ditur cum relocitate. Ascendit enim aqua exilientis vena parra
mocu perpendiculari ad agua in vale Ragnancis alcitudinem GI
vel GB nis quatenus aCcensus ejus ab aeris resistentia aliquantu.
lum impediatur; ac proinde ca eAuit cum relocitate quam ab al
citudine illa cadendo acquirere potuiset.
Aquae Ragnantis particula unaquaeque
undique premitur aequaliter, per Prop.
XIX. Lib. II, de pressioni cedendo aequali
impetu in omnes partes fertur, sive de
scendat per Foramen in Fundo valiss lIve
horizontaliter eAluat per Foramen in ejus
latere, live corediatur in canalem ec inde
alcendat per Foramen parrum in superiore
canalis parte factum. EF relocitatem qua
aqua eAluie, eam ene quam in hac Pro.
Policione astignarimus, non solum rati
onc colligitur, sed etiam per experiment.
nocissima jam descripta manifectum cAt.
Ca5. 5. Eadem elt aquae eAAuentis velociras live Hgula Foramls
lic circularis sive quadrara vel criansularis auc alia quaecunque cir-
culari aequalis. Nam relociras aquae efAuentis non pendet à Agura
Foraminis sed ab ejus alcicudine intra planum K L.
CaS. . Si valis ABD C pars interior in aquam Ragnancem im-
MErSaTUE;