Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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PHYSICES ELEMENTA
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<
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I.</
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tentia rotæ applicatur, & </
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fig. 5.</
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getur, & </
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">ubi diameter axis eſt pars tertia diametri rotæ,
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ratio potentiæ ad pondus componitur ex rationibus 1 ad 5
<
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xml:space
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& </
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<
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<
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">& </
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<
s
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xml:space
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">188.</
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ſuſtinet pondus P quindecim librarum.</
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<
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<
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ta in hoc caſu dentata requiritur, cujus dentes ſint inclinati,
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">TAB. VII.
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fig. 9.</
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ut cum ſulco cochleæ congruant Talis eſt rota A, quæ
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ope cochleæ BC movetur. </
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<
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dicitur, & </
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<
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exerit effectum; </
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<
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xml:space
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">tot enim in ſingul is rotæ revolutionibus,
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revolutiones requiruntur cochleæ, id eſt, manubrii quo
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cochlea movetur, quot dentes rota habet; </
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<
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terior rota dentata addatur, potentia eadem majus ob-
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ſtaculum agitare poterit.</
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<
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2.</
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<
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">Machina, quam hìc exhibemus, conſtat ex duabus rotis,
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& </
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<
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">cochleâ perpetuâ, quæ manubrio DE movetur. </
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<
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">TAB. VII.
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fig. 9.</
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ratio potentiæ ad pondus, quando æquè pollent, componitur
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ex ratione ſemidiametri axis ultimæ rotæ F, ad manubrii
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longitudinem DE, & </
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<
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manubrii aut cochleæ revolutiones. </
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<
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">Prima ratio in hac ma-
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china eſt 1 ad 30; </
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<
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">ſecunda ex numero dentium colligitur.
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</
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<
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A continet dentes 7; </
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<
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tur, dum ſecunda ſemel; </
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<
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36, totidem igitur revolutiones peragit cochlea, dum hæc
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rota ſemel revolvitur : </
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<
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eſt, 1 ad 180, quæ eſt ſecunda ratio quæſita; </
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<
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hac & </
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<
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eſt ratio potentiæ ad pondus in caſu æquilibrii; </
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<
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tumvis parum auctâ potentia pondus elevaretur, ſinullus da-
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retur attritus, qui cum in omnibus hiſce machinis non ſit
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contemnendus; </
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<
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