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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 9, page id 1041163592:0043
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PRINOIDTA MATIEMAETCA.
mantur ue situs relatirus conservetur, conserrabitur relatio in qua DexIMI.
mocus relatirus consictie. Mucari igitur porest motus omnis relati- TIOMES.
vus ubi verus conserratur, ex contervari ubi verus mutatur; de prop-
terea motus rerus in ejulmodi relationibus minime consiltIt.
L Aectus quibus mocus absoluri ec relatiri distinguuntur ab invi-
cem, lune vires recedendi ab azc motus circularis. Nam in mOtu
circulari nude relaciro ax vires nullae sune, in vero aurem ex 2b(0-
luto majores vel minores pro quantitace mocus. Si pendeat situla
2 filo praelongo, agacurque perpetuo in orbem, donec Hlum a con-
tortione admodum rigelcat, dein impleatur aqua, de una cum aqua
quiescat; cum ri aliqua Cubitanea agatur motu contrario in orbem,
et Elo se relaxante, diutius perlereret in hoc motu; superticies a-
quae sub inicio plana erie, quemadmodum anee motum rasis: at
Doltquam, ri in aquam paulatim imprecla, cAecit ras, ut lxec quoque
Tensibiliter revolvi incipiat; recedet ipla paulatim a medio, alcen-
detque ad latera valis, figuram concaram induens, (ut ipse exper-
tus Tum) ee incitatiore semper motu aCcendet magis ec magis, do-
nec revolutiones in equalibus cum vase temporibus perasendo,
quiescat in eodem relatire. Indicat hic ascentus conatum rece
dendi ab axc motus, ec per talem conatum innocescit ee mentura-
tur motus aquae circularis verus et absolutus, moruique relatiro
hic omnino contrarius. Inicio, ubi maximus erat aguae motus rela-
tivus in vase, mocus ille nullum excitabat conatum recedendi ab
axC: aqua non petebat circumterentiam ascendendo ad latera va-
SiS, Sed plana manebat, e propterca motus illius circularis verus
nondum inceperat. Postea vero, ubi aquae motus relatirus decre-
vie, alcensus ejus ad latera vasis indicabat conatum recedendi ab
axC; atque hic conatus monstrabat motum illius circularem verum
perpetuo crescentem, ac tandem maximum Factum ubi aqua quie-
lcebat in vase relatire. Igitur conatus iste non pendet a cransta-
cione aquae respectu corporum ambiencium, eE PrODEerCamOTuS Cir-
cularis verus per tales translationes detiniri nequit. Onicus est cor-
Poris cuju sque revolventis motus vere circularis, conatui unicotan-
quam proprio ec adaequato effectui respondens: motus aurem rela-
tiri pro variis relationibus ad externa innumeri sunt; ec relationum
instar, efectibus veris omnino destituuntur, nisi quatenus verum
illum ex unicum motum participant. Inde sc in Spstemare corum
qui Caelos nostros intra Caelos Fixarum in orbem revolvi volunts
et Planetas secum deferre; singulae Caelorum DartCS, _E PIanCEA
qui relacire quidem in C aelis suis proximis quiescunt, moven
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