Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XXIII.
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cium ut & </
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<
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xml:space
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">velocitas puncti A poſt ictum erit
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{AC
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x Gva/b x AC
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+ c x AC
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} = {Gva /b + c}.</
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<
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">Ut, data hac velocitate, altitudinem ad quam elevatur punctum A cumal-
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titudine a conferamus, determinandum eſt centrum oſcillationis, quod mo-
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vetur ut corpus in quod gravitas tantum agit , diſtantia autem centri
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lationis a centro motus eſt {b x AC
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+ c x AC
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/P x AC } = {b x AC + c x AC/P}.</
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<
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">Diſtantia autem AC ſe habet ad diſtantiam hanc centri oſcillationis, id eſt
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(multiplicando utramque diſtantiam per P, & </
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b + c, ut velocitas puncti A ad velocitatem centri oſcillationis; </
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ratione altitudo ad quam adſcendit A, quam dicimus d, ad altitudinem ad
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quam adſcendit centrum oſcillationis; </
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P, b + c:</
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">: {Gva/b + c}, {Gva/P} = velocitati centri oſcillationis. </
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P, b + c:</
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">Altitudo hæc etiam quadrato velocitatis hujus centri exprimitur, cum a ex-
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primat altitudinem ad quam corpus velociate √ a pertingit .</
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Habemus ergo hanc æquationem {G
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x a/P
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} = {db + dc/P} id eſt G
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x a = db
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x P + dc x P: </
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x d x P/G
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}</
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<
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">Pro litteris ut numeri ſubſtituantur, conſiderandum, b æquale eſſe {2/3} GC
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x AC + {1/6}-GF x AC, dum ipſa figura ADFHB, id eſt
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GC x AC +
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GF x AC , Jugi pondus repræſentat; </
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xml:space
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">quare hoc pondus jugi ad b,
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GC + GF ad {2/3} GC + {1/6} GF.</
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unciarum cum dragmis duabus & </
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Ergo 15, 4:</
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G, ponderat ſcrupula 67; </
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lum quintam pollicis partem.</
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