Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA. LIB. I. CAP. XXII.
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tis unius pollicis. </
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<
s
xml:id
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echoid-s4846
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xml:space
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">Ut cylindrus hicce ſuſpendatur, lamel-
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læ æneæ perforatæ dantur H & </
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<
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<
s
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">duplicatus uncus
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in medio in L, cui fila connectuntur quæ per lamellarum H,
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I, foramina tranſmittuntur. </
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<
s
xml:id
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xml:space
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">Lamella H ita ponitur ut di-
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miſſa perpendiculari ad axem, A h ſit trium partium quarta-
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rum unius pollicis.</
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<
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</
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<
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<
s
xml:id
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echoid-s4851
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xml:space
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">Applicatur cylindrus hic machinæ, cujus ope Experi-
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menta circa colliſionem corporum inſtituuntur, & </
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<
s
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">cujus de-
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ſcriptio in capite ſequenti habetur dum eidem
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xlink:label
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">491.</
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firmiter jungitur pixis, in eâdem deſcriptione memoranda,
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argillam mollem cujus ſuperficies plana eſt, continens.</
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<
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<
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<
s
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xml:space
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">In argillam dimittatur cylindrus velocitate quacumque,
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& </
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<
s
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">motum amittat cavitatem formando, extremitate A in
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argillam incurrente. </
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<
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xml:space
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">Si, mutato paululum pixidis ſitu, eâ-
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dem velocitate cylindrus in argillam impingat, extremitate
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B in hanc penetrante; </
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<
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">quæcunque fuerit velocitas qua cor-
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pus in utroque caſu movetur, ſi in utroque eandem habeat
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velocitatem, id eſt impactione eandem vim amittat; </
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<
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tum diametri erunt ut 2 ad 3.</
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</
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<
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xml:space
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">Cavitatum baſes, quæ ſunt ut quadrata diametrorum
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funt ut 4 ad 9, & </
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">cavitatum profunditates ut 9 ad 4, (hoc
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enim ex conorum forma ſequitur) id eſt baſes ſunt inversè
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ut altitudines, quare cavitates ſunt æquales ; </
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.</
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virium æquales ; </
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<
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conſumuntur cum ad inæquales profunditates in argillam pe-
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netrent coni.</
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<
s
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">Vires corporibus inſitæ, inter ſe differre non poſſunt niſi
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<
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">470.</
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reſpectu velocitatis, aut quantitatis materiæ in corporibus:
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</
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<
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">ergo vires quæeunque, ex dictis conferuntur inter ſe, &</
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">447. 450.</
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ſunt in ratione compoſita quantitatum materiæ, & </
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torum velocitatum. </
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<
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">Si igitur ſingulorum corporum maſſæ
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per quadrata ſuarum velocitatum multiplicentur, producta
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virium rationem exprimunt.</
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<
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<
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">471.</
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les acquirere, ſi altitudines, quas deſcendendo percurrunt,
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ſint inter ſe in ratione inverſa maſſarum. </
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