Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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421 - 450
451 - 480
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MATHEMATICA. LIB. I. CAP. XV.
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dus ſuperet, adaugeri debet; </
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dus maximum elevatur. </
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<
s
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xml:space
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">Longitudo ſcytalæ ED duplicari,
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aut etiam ulterius augeri poteſt, quo actio potentiæ dupli-
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catur, aut magis augetur; </
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<
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xml:space
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">in hoc caſu capillo tenuiſſimo ho-
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mo fortis ſuperatur.</
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<
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<
s
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xml:space
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">Innumeræ aliæ Machinæ compoſitæ conſtrui poſſunt,
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quarum vires eodem modo computatione determinantur,
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ope regulæ initio hujus capitis memoratæ, aut etiam compa-
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rando viam percurſam a potentiâ cum viâ à pondere, aut
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alio quocumque impedimento, percurſâ; </
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<
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">harum enim ratio
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eſt ratio inverſa potentiæ & </
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<
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xml:space
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">ponderis autimpedimenti, quando
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potentiæ actio cum reſiſtentiâ impedimenti æquè pollet.</
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<
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xml:space
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">Preſſiones, quæ contrarie agentes æquè pollent, ſemper
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ſunt æquales; </
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">ſi ergo potentia intenſitate minor eſt impe-
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dimento, reſpectu viæ percurſæ illud ſuperare debet, & </
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<
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quidem toties quoties ab illo intenſitate ſuperatur; </
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<
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xml:space
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nim alio reſpectu preſſionum effectus differre poſſunt, etiam
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nulla alia compenſatio dari poteſt.</
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<
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note
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per AB,
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E, & </
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D, trabitur, quieſcit, ſi poten-
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fig. 1.</
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tiæ fuerint inter ſe ut latera trianguli formati lineis juxta
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directiones potentiarum poſitis; </
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inter ſe ut latera trianguli A Db. </
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AE & </
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ſi duabus ut AD & </
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<
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E formetur parallelogrammum, pa-
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tet tertiam
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continuatam fore parallelogrammi diagona-
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lem & </
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<
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">Punctum autem A in hoc caſu quieſcere ut demonſtremus,
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concipere debemus, ſepoſitâ potentiâ per
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B, preſſiones per
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AE & </
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& </
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A e, inter ſe ut A D, AE, id eſt, ut preſſiones juxta haſce lineas
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agentes;</
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