Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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temporibus fieri, jamdudum obſervarunt alii; & accuratiſſime qui
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dem notare licet æqualitatem temporum in Pendulis. </
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<
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>Rem tentavi
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in Auro, Argento, Plumbo, Vitro, Arena, Sale communi, Ligno,
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Aqua, Tritico. </
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>Comparabam pyxides duas ligneas rotundas &
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æquales. </
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>Unam implebam Ligno, & idem Auri pondus ſuſpende
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bam (quam potui exacte) in alterius centro oſcillationis. </
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>Pyxides
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ab æqualibus pedum undecim filis pendentes, conſtituebant Pen
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dula, quoad pondus, figuram, & acris reſiſtentiam omnino paria:
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Et paribus oſcillationibus, juxta poſitæ, ibant una & redibant di
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utiſſime. </
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>Proinde copia materiæ in Auro (per Corol. 1. & 6. Prop.
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XXIV. Lib. II.) erat ad copiam materiæ in Ligno, ut vis motricis
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actio in totum Aurum ad ejuſdem actionem in totum Lignum; hoc
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eſt, ut pondus ad pondus. </
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<
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>Et ſic in cæteris. </
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>In corporibus ejuſ
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dem ponderis differentia materiæ, quæ vel minor eſſet quam pars
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milleſima materiæ totius, his experimentis manifeſto deprehendi
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potuit. </
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>Jam vero naturam gravitatis in Planetas eandem eſſe atque
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in Terram, non eſt dubium. </
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>Elevari enim fingantur corpora hæc
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Terreſtria ad uſque Orbem Lunæ, & una cum Luna motu omni
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privata demitti, ut in Terram ſimul cadant; & per jam ante oſtenſa
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certum eſt quod temporibus æqualibus deſcribent æqualia ſpatia
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cum Luna, adeoque quod ſunt ad quantitatem materiæ in Luna, ut
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pondera ſua ad ipſius pondus. </
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>Porro quoniam Satellites Jovis
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temporibus revolvuntur quæ ſunt in ratione ſeſquiplicata diſtanti
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arum à centro Jovis, erunt eorum gravitates acceleratrices in Jo
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vem reciproce ut quadrata diſtantiarum à centro Jovis; & prop
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terea in æqualibus a Jove diſtantiis, eorum gravitates acceleratrices
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evaderent æquales. </
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>Proinde temporibus æqualibus ab æqualibus
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altitudinibus cadendo, deſcriberent æqualia ſpatia; perinde ut fit
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in gravibus, in hac Terra noſtra. </
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>Et eodem argumento Planetæ
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circumſolares ab æqualibus à Sole diſtantiis demiſſi, deſcenſu ſuo
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in Solem æqualibus temporibus æqualia ſpatia deſcriberent. </
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>Vires
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autem, quibus corpora inæqualia æqualiter accelerantur, ſunt ut
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corpora; hoc eſt, pondera ut quantitates materiæ in Planetis.
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Porro Jovis & ejus Satellitum pondera in Solem proportionalia
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eſſe quantitatibus materiæ eorum, patet ex motu Satellitum quam
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maxime regulari; per Corol. 3. Prop. LXV. Lib. I. Nam ſi ho
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rum aliqui magis traherentur in Solem, pro quantitate materiæ
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ſuæ, quam cæteri: motus Satellitum (per Corol. 2. Prop. LXV.
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Lib. I.) ex inæqualitate attractionis perturbarentur. </
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<
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à Sole diſtantiis) Satelles aliquis gravior eſſet in Solem pro quan
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