# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0337
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0337?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 303, page id 1041163592:0337
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=337
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000337.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.91
# 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.

IIIIIII
PRTMOIPTA MATTIEMATLCA
303
generari quo cempore Globus duas terrias diametri suX PaRFES, VC- LIBER
locieare uniformiter continuata describae, uc densicas Medii ad SECVNDOS.
denseatem Globi, si modo Globus et parcicule Dedii sine summe
elastica e vi maxima restectendi polleane: quodque haec ris sIF
duxlo minor ubi Grlobus ex particulae Mledii Tunt infinice dura ex
vi rehectendi prorsus destiruea. In Mediis autem continuis qualia
Tune Agua Oleum calidum, ec Rrgentum rivum, in quibus Globus
non incidit immediare in omnes Ruidi particulas relistentiam gene.
rances, sed premic eancum proximas particulas ec hae premunt alias
et trie alias, resistentia est adhuc duplo minor. Globus urique in
hujusmodi Mediis Auidissimis resistentiam patitur quae est ad vim
qua EOTUS ejus motus vel colli postit vel generari quo cempore,
moru illo uniformiter continuato, partes octo tertias diamerri lua
deseribat, ut densitas Mledii ad densicarem Globi. Id quod in le-
quentibus conabimur octenderc.
PROPOSITIO ZZZVI PROBLEMA VIII.
aquae de vase Cylindrico per foramen in fundo factum essuentis
definire motum.
Sic ACD B vas cplindricum, AB ejus oriticium superius, C D
Fundum horizonei parallelum, F. F Foramen circulare in medio
Fundis G centrum Foraminis, ec CFI axis cylindri horizonti per-
Dendicularis. FE concipe cplindrum sla-
ciei AF B ejusdem elre lacicudinis
cum caritace valis, ex azem cundem R2- F
Dere, X uniFOrmI CUM MOTu perDCcuO
descendere, et parces ejus quam primum
accingune superticiem AB liquelcere, 8
in aquam conversas gravitate lua deAuere
in vas, ex cataractam vel columnam aqua
ABNF F. M cadendo FOrmare, eC PeF
FOramen P F transire, idemque adaequate
implere. Ba vero sic unitormis veloci-
tas glaciei descendentis ut ec aquae con-
tiguae in circulo AB, quam aqua caden
do ex catu luo describendo alcirudinen
FF acquirere POteH; e jaceanE III ee HC n directum, de DCu
bunctum Lducatur recta K L horizonci Parallela ex laceribus st2
161
MINMIHTHIIIMLNMIITMIIISHIIIIIIIIIIMII