Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. II. CAP. XII.
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hoc agunt: </
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que retardatio, quam corpus in fluido patitur in primo momento, æqualis
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velocitati, quam in momento æquali corpus adſcendens, & </
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<
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retardat, amittit.</
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<
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<
s
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xml:space
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">Sit nunc C c retardatio quam corpus patitur percurrendo AD, erit C c
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velocitas quam corpus amittit, adſcendendo ad altitudinem AD, quando gra-
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vitate retardatur. </
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<
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AB, & </
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AT cum logarithmica, quæ per C & </
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<
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AB.</
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<
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<
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<
s
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xml:space
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">Ordinatæ logarithmicæ hujus deſignabunt velocitates corporis in fluido mo-
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ti, cujus velocitas in A eſt AC: </
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<
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">& </
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<
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xml:space
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<
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demonſtrabit altitudinem ad quam corpus, velocitate AC in altum proje-
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ctum, & </
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<
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<
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">igitur XA,
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dium ſubtangentis AT, deſignat altitudinem a qua corpus in vacuo cadendo
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ſect. con.
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lib. 2.
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prop 20.</
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quirit velocitatem, qua ſi corpus per fluidum moveatur, reſiſtentiam patitur pon-
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deri ipſius corporis æqualem, quæ altitudo datur .</
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<
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<
s
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">Ut altitudo, à qua corpus in vacuo cadendo, acquirit velocitatem, quæ dat re-
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ſiſtentiam pondericorporis æqualem, ad ſpatium à corpore in fluido percurſum, ita
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dimidium ſubtangentis tabularum, 0, 21714. </
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<
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ter velocitates in initio & </
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<
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garithmus rationis detectus, ſunt inter ſe ut hæ velocitates .</
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<
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<
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curſi, detegitur ſpatium hoc.</
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<
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0, 30102. </
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id eſt, ut 10000000000. </
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<
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do corpus acquirit velocitatem, quæ dat reſiſtentiam ponderi æqualem, ad
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ſpatium in quo corpus dimidium velocitatis amittit . </
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<
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indicatis in n. </
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<
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in quo tota deſtruitur velocitas dimidiata ſubtangente repræſentatur, ut ſequi-
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tur ex demonſtratione n. </
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tangens conſtans ſit , ſequitur etiam in fluido homogeneo, quale in his
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que ponimus, ſpatium illud non mutari, quomodocunque varietur veloci-
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tas, & </
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poſitâ, reſiſtentia ponderi æqualis eſt.</
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<
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rithmicæ ISP; </
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fig. 4.</
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jus axis eſt IB; </
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AB fuerit ad BI, ut retardatio ex prima cauſa ad retardationem ex </
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