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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xml:space
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fig. 7.</
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jus peripheria dentes habet, & </
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<
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">cujus axis tertiæ rotæ motum
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communicare poteſt, & </
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<
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<
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it
">
<
s
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xml:space
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">Ratio potentiæ ad pondus ut æquè polleant, eſt ratio compo-
<
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<
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">190.</
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ſita ex ratione diametri axis ultimæ rotæ, ad diametrum pri-
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mæ & </
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<
s
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xml:space
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">ratione circumvolutionum ultimæ rotæ, ad circum-
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volutiones primæ, eodem tempore.</
s
>
<
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</
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<
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<
s
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echoid-s1908
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xml:space
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">Cujus regulæ demonſtratio etiam ex comparatione viarum
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percurſarum à pondere & </
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<
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">potentia deducitur.</
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<
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">Experimentum</
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>
2.</
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<
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<
s
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xml:space
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">Rotæ AB potentia, quæ per pondus M repræſentatur,
<
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<
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">191.</
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applicatur, pondus P axi rotæ FG; </
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<
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">axis illius diameter eſt
<
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<
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xml:space
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fig. 7.</
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octava pars diametri rotæ AB, & </
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<
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">hæc rota quinquies cir-
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cumvolvitur, dum rota FG ſemel: </
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>
<
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">ratio ergo potentiæ ad
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pondus componitur ex rationibus 1. </
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<
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<
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<
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xml:space
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ergo ratio 1. </
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<
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">ad 40.</
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<
s
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xml:space
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">; ſemilibra ſuſtinet in eo caſu viginti li-
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bras.</
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<
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">CAPUT XII.
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De Trochlea, Machinarum ſimplicium tertia.</
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<
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pondera inſervire nequit; </
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<
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">trochleis in iis caſibus u-
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tendum, & </
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<
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">Machina, quæ ex iſtis formatur, eſt admodum
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compendioſa, & </
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<
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</
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<
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<
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">Quid ſit Trochlea, jam ante dictum .</
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<
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</
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<
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">Si pondus trochleæ conjunctum ſit ita, ut cum ea traha-
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tur, utraque extremitas funis ductarii ſuſtinet partem dimi-
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diam ponderis. </
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>
<
s
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xml:space
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">Quando ergo extremitas una, unco alliga-
<
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<
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">192.</
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ta, aut aliter fixa eſt, vis movens alteri extremitati appli-
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cata, quæ dimidium ponderis valet, pondus ſuſtinet.</
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</
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</
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<
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<
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">Experimentum</
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>
1.</
head
>
<
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<
s
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xml:space
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">Pondus P, duarum librarum trochleæ conjungitur, ita ta-
<
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<
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">193.</
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men, ut rotatio orbiculi eo non impediatur; </
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>
<
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">unco funis e f
<
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<
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">TAB. VII.
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fig. 1.</
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alligatur, & </
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<
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">altera funis extremitas cd circumit trochleam
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fixam ad directionem mutandam ; </
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>
<
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xml:space
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">tunc pondus M,
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