# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0355
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0355?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 321, page id 1041163592:0355
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=355
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000355.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 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.

11
RINCIPTA MATHIEMATICA.
22
Compucum incundo prodeunt Dondus globi in vacuo 76 : grans LLvEE
excessus hujus ponderis supra pondus in aqua 7 lis crans diaetex SECVRVUS.
Slobi 0,81295 dic, octo tertix partes hujus diamerri 2, 16789 die
Spacium 2F 2,3217 dis, spacium quod globus pondere 51 grans
tempore i, absque relictentia cadendo describat 12,808 die, d
tempus C 0,301056. Globus isitur, velocitate maxima quacum
Potest in aqua vi ponderis sisran. de(cendere, FempOrc 0, 301056
delcribet spacium 2,3217 dic. _ tempore L5 spatium 175, 678 aig.
Subducatur spatium 1,3862944 F scu 1,509 die. ec manebit spatium
224,069 dis. quod proinde slobus eodem tempore in rase lacissi-
mo cadendo describere debet. Propter angustiam vasis nostri de-
crahi debet spatium 0,895 dis. circiter. Et sc manebit spatium
T13, 174 dic. Quod globus cadendo in hoc rase, tempore is de-
Scribere debuie per Theoriam quamproxime. Delcripse vero digi-
TOS TI2 per Experimentum. Differentia est insensibilis.
Lixper. 2. Cilobi tres aequales, quorum pondera scorsim crane
T2E gran. in aere dc i gran. in aqua, successive demittebantur; et
cadebant in aqua temporibus 46, 47, ex 50, describentes alti-
cudinem digitorum II2.
Per Theoriam hi globi cadere debuerune tempore q0circiter.
Ouod cardius ceciderunt, vel bultulis nonnullis globo adhaerenti-
Dus, vel rarefactioni cerae ad calorem vel tempestatis vel manus
globum demittentis, vel erroribus insensibilibus in ponderandis
Slobis in aquas vel denique minori proporcioni resictentix quae a
vi inertia in cardis moribus oritur ad resctentiam quae oritur ab
aliis causis, tribuendum esse puto. Ideoque pondus globi in aqua
debet esse plurium granorum ut experimentum cerrum ee hide dig-
num reddatur.
Faeper. 4. Experimenta hactenus deleripta caepi ut investigarem
relistentias Auidorum ancequam Theoria, in Propolitionibus Pro-
xime praecedentibus exposita, mihi innoresceret. Postea, ut Theo-
riam inventam examinarem, parari ras ligneum lacicudine interna
digicorum 83, profunditare vedum quindecim cum triente. DC-
inde ex cera et plumbo incluso globos quacuor formavi, singulos
Dondere 1392 granorum in aere ex 73 granorum in aqua. EF hoS
demili uc cempora cadendi in aqua per pendulum, ad semi minuta
secunda oscillans, mensurarem. Globi, ubi ponderabantur ee po-
Rea cadebant, Frigidi erant ex aliquamdiu frisidi manserant; qura
calor ceram raretacit, ex per rarefactionem diminuit pondus globi
uex aqua, e Cer
rarefacta non catim ad densitatem prictinam Per
trigue