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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 366, page id 1041163592:0400
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366
PTITLOSOPHTE NATVRALIS
De Moros Temporibus feris jamdudum obserrarunt alii; et accuratissime qui-
SZSTEMATE dem notare licet aequalicatem temporum in Pendulis. Rem tentavi
in AUrO, Argento, Plumbo, Vicro, Arena, Sale communi, Ligno,
Aqua Fritico. Comparabam prxides duas lioneas rotundas de
requales. Onam implebam Ligno, ee idem Ruri pondus suspende-
bam (quam porui exacte) in alterius centro oscillationis. Pyxides
ab aequalibus pedum undecim Elis pendentes, constituebane l’en.
dula, quond pondus, tisuram, ex aeris resiltentiam omnino paria:
EE paribus olcillacionibus, juxta policae, ibant una ex redibant di-
ucissime. Proinde copia materia in AUrO (per COrOl. F. aE6. PrOP.
ZXIV. Lib. II.) crac ad copiam materiae in ligno, ue ris morricis
actio in eocum Aurum ad ejusdem actionem in torum Lignum; HOC
Cst, uc pondus ad pondus. Et sic in eaeteris. In corporibus ejul-
dem ponderis differentia materiae, guae vel minor CNet quam DarS
millesima materia torius, his experimentis manifesto deprehendi
Pocuit. Jam vero nacuram gravitatis in Planecas eandem esse atque
in Terram, non est dubium. Elevari enim Anganeur corpora haec
Terrestria ad ulque Orbem Lunx, ec una cum Luna motu omni
Priraca demitti, ut in Terram simul cadant; et per jam anre octenla
certum est quod temporibus aequalibus describent aequalia spatia
cum Luna, adeoque quod sunt ad quancitarem materia in Luna, uE
Dondera lua ad ipsius pondus. Porro quoniam Sacellites joris
temporibus revolruntur quxe sunt in ratione sesquiplicata distanti-
arum a centro foris, crune corum gravitates acceleratrices in 70-
rem reciproce ue quadraca dictantiarum à centro Toris; ee prop.
terea in xequalibus a Tore distantiis, corum gravitares acceleratrices
craderent aequales. Proinde temporibus aequalibus ab aequalibus
altitudinibus cadendo, describerent aequalia Spacia; perinde ut AC
in graribus, in hac Terra nostra. Et eodem argumento Planctae
circum solares ab aequalibus a Sole distantiis demisi, descenu Cuo
in Solem aequalibus temporibus aequalia spatia describerent. Vires
autem, quibus corpora inaequalia aequaliter accelerantur, sunE uE
COFDOTA; HOC CAt, pondera ue quantitates materix in Planetis.
Porro Joris ex ejus Sacellitum pondera in Solem proportionalia
ese quantitatibus materix corum, paret ex mocu sacellicum quam
maxime regulari; per Corol. 3. PFOD. LXV. Lib. I. Nam si hO-
rum aliqui masis traberentur in Solem, Pro quantitate materixe
Tuae, quam exteri: motus Satellitum (per COrOl. 2. PFOD. LXV.
Lib. P.) ex inxgualitate accractionis pertUrBArenEuE. Si (ParibUS
a Solc distanciis) Sacelles aliquis grarior esset in Solem pro quan-
Titate