# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0325
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0325?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 291, page id 1041163592:0325
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=325
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000325.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.88
# 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.

1
PRANCIDIA MATHEMATICA.
S
plusquam duplicata. Ejus rei causam inveltisando, in hanc in-
T IBEK
oidis quod area nimis angusta esset pro magnicudine Globi pen- SECVRDOS.
duli, ec mocum aquae cedentis prae ansultia sua nimis impedio.
bat. Nam si Globus pendulus cujus diameter crat digiti u-
nius, immersoretur; relictentia augobatur in duplicata ratione ve-
locicatis quam prozime.  Id rentabam contruendo pendulum es
Colobis duobus, guorum interior ee minor oscillaretur in aqua, si-
perior se major proxime lupra aquam Elo actinus eset, de in Aere
oscillando, adjuraret motum penduli cumque diuturniorem redde-
rec. Experimenta autem hoc modo institura sc habebant uc in Pa-
bula sequente describitur.
Arcus descensu primo descriptus 16
Arcus ascensu ultimo descriptus 12
Areuum diff. motui amisso proport. 4
Numerus Oscillationum
8t
38 62 1212
2153
Conserendo resistentias Mediorum inter se, eleci exiam uE pen-
dula Terrea olcillarentur in argento viro. Longicudo Ali Ferrei erac
redum quasi trium, ec diameter Clobi penduli quasi cerria pars di-
sici. Ad Hilum aurem proxime supra Mercurium affixus crat (70.
bus alius plumbeus lacis magnus ad mocum penduli diurius conci-
nuandum. Tum rasculum, quod capiebac quali libras eres argenti
viri implebam ricibus alcernis argento riro ec aqua communis ue
pendulo in Fluido utroque succestire oscillante, invenirem ProDOr-
cionem relittentiarum: ex prodiie reliltentia arsenti viri ad reli
Hentiam aquae, ut 73 vel 14 2d r circirer: id est, ur denlitas arsen-
ei viri 2d densitarem agux. Vbi Globum pendulum paulo majo.
rem adhibebam, pura cujus diamerer esset quasi 5 vel 3 Partes di-
sici, prodibat relctentia argenti riri in ea ratione ad relictentiam
aquae quam habet numeruS 12 vel 20 ad, E circuer. Sed experi
mento priori magis tidendum est, proprerea, quod in his ultimis
Vas nimis angustum fuit pro masnitudins Globi immersi. Am-
pliato Clobo, deberet etiam Vas ampliari. Constirueram quidem
hujusmodi experimenta in rasis majoribus ex in liquoribus tum
Mecallorum Fusorum, cum aliis quibuldam tam calidis quam Fri-
sidis repetere: Ced omnia experiri non racat, ex ex jam delcripris
lacis liquer resictentiam corporum celeriter mororum densicati L lu-
idorum in quibus moventur proxortionalem esse quam proxime.
on dico accurate. Nlam Fluida tenaciora, Pari densitate, procul-
dubio
623
11DNMMHINBIHIIILMEMMEAIIIIMI
1