Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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1
DE MOTU
CORPORUM
Globorum igitur aere plenorum quintus, diametro digitorum
quinque pondere granorum 483 conſtructus, cecidit tempore
8″ 12′, deſcribendo altitudinem pedum 220. Pondus aquæ huic
globo æqualis, eſt 16600 granorum; & pondus aeris eidem æqualis
eſt (16600/860) gran.ſeu (19 3/10) gran; ideoque pondus globi in vacuo eſt
(502 3/10) gran; & hoc pondus eſt ad pondus aeris globo æqualis, ut
(502 3/10) ad (19 3/10), & ita ſunt 2 F ad octo tertias partes diametri glo­
bi, id eſt, ad (13 1/3) digitos.
Unde 2 F prodeunt 28 ped.11 dig.Glo­
bus cadendo in vacuo, toto ſuo pondere (502 3/10) granorum, tempore
minuti unius ſecundi deſcribit digitos 193 1/3 ut ſupra, & pondere
483 gran.deſcribit digitos 185,905, & eodem pondere 483 gran.
etiam in vacuo deſcribit ſpatium F ſeu 14 ped.5 1/2 dig.tempore
57′ 58′, & velocitatem maximam acquirit quacum poſſit in aere
deſcendere.
Hac velocitate globus, tempore 8″ 12′, deſcribet ſpa­
tium pedum 245 & digitorum 5 1/3. Aufer 1,3863 F ſeu 20 ped.
0 1/2 dig.& manebunt 225 ped.5 dig.Hoc ſpatium igitur globus,
tempore 8″ 12′, cadendo deſcribere debuit per Theoriam.
De­
ſcripſit vero ſpatium 220 pedum per Experimentum.
Differentia
inſenſibilis eſt.
Similibus computis ad reliquos etiam globos aere plenos appli­
catis, confeci Tabulam ſequentem.
Globorum
ponderaDia­
metriTempora ca­
dendi ab al­
titudine pe­
dum220.Spatia deſcriben­
da per Theoriam.Exceſſus510 gran.5,1 dig.8″12′226 ped.11 dig.6 ped.11 dig.6425,274223091095995,174222710710515575722454548358122255556415,27422307107
Globorum igitur tam in Aere quam in Aqua motorum reſi­
ſtentia prope omnis per Theoriam noſtram recte exhibetur, ac
denſitati fluidorum, paribus globorum velocitatibus ac magnitudi­
nibus, proportionalis eſt.

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