Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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PHYSCES ELEMENTA
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<
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<
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xml:space
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<
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jam dictis inter ſe poſſunt comparari; </
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<
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xml:space
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ratione compoſita, ex ratione quantitatum materiæ in cor-
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poribus revolutis , & </
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<
s
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xml:space
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">ratione diſtantiarum a centro ,
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xml:space
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363.</
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& </
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<
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">ratione inverſa quadratorum temporum periodicorum .</
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<
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<
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xlink:label
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xml:space
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">371.</
note
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Multiplicando quantitatem materiæ in unoquoque corpore
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per ſuam diſtantiam a centro, & </
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<
s
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xml:space
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">dividendo productum per
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quadratum temporis periodici, quotientes diviſionum erunt
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in dicta ratione compoſita, id eſt, ut vires centrales.</
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<
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. 10.</
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<
s
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">Obſervatis iiſdem quæ in Experimento præcedenti, de-
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tur globus ſemi-libræ, ad diſtantiam ſedecim a centro Or-
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bis B, & </
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<
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jungatur; </
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<
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xml:space
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">globus alter ſit unius libræ, ad diſtantiam vigin-
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ti quatuor a centro Orbis A, & </
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<
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">conjungatur cum pondere
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unius libræ; </
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<
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dera elevantur.</
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<
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<
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xml:space
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">; diſtantiæ ut 16. </
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<
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<
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drata temporum periodicorum ut 4. </
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<
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<
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{1/2} per 16.</
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<
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<
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</
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<
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<
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<
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">dividendo productum per 9.</
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quotiens diviſionis eſt 2 {2/3}. </
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<
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ſe ut 2. </
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<
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ſuſtentaculis etiam inter ſe habent.</
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<
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per quadrata temporum periodicorum dividuntur ad deter-
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minandam proportionem inter vires centrales.</
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<
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ter ſe ut cubi diſtantiarum, quotientes diviſionum erunt in
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ratione inverſa quadratorum diſtantiarum; </
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<
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ne etiam vires centrales.</
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<
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II.</
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<
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tur globi æquales, & </
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alterius globi diſtantia a centro ſit ſedecim, pondus primo
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annexum ſit unius libræ cum quadrante, & </
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