Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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121 - 150
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181 - 210
211 - 240
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301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
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PHYSICES ELEMENTA
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cet ipſa minuatur, viam corporis flectat, & </
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<
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xml:space
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centrum accedere cogat: </
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<
s
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xml:space
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">acceſſu augetur velocitas ita, ut,
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licet vis augeatur, corpus iterum a centro recedat.</
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</
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<
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<
s
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xml:space
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">Circulus ad hoc genus curvarum pertinet, & </
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<
s
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xml:space
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">in hoc ca-
<
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xml:space
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">382.</
note
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ſu corpus etiam circulum poteſt deſcribere, qui, ſi bujus
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diameter æqualis ſit aximajori Ellipſeos cujuſcunque, eodem
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tempore cum bac deſcribitur.</
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<
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</
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<
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<
s
xml:id
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xml:space
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">Corpus poteſt tali celeritate projici, ut in receſſu a cen-
<
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<
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xlink:label
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xlink:href
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xml:space
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">383.</
note
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tro vis, quæ auctâ diſtantiâ minuitur, non valeat ad viam
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ita inflectendam, ut corpus redeat; </
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<
s
xml:id
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xml:space
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">percurrit in hoc caſu
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corpus curvam aliam Parabolam aut Hyperbolam.</
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<
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<
s
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xml:space
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">Si vis centralis juxta alvam proportionem quamcunque
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<
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xlink:label
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xlink:href
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xml:space
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">384.</
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in receſſu a centro decreſcat, non poterit corpus lineam in
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ſe redeuntem, & </
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<
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">a circulo parum aberrantem, deſcribere.</
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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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">Sed ſi vis decreſcat juxta proportionem parum ab bac ab-
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<
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xlink:label
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xlink:href
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xml:space
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">385.</
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errantem, aut curva à circulo non multum differat; </
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<
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">poterit
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curva a corpore deſcripta referri ad Ellipſin mobilem, cu-
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jus nempe axis, in plano, in quo corpus revolvitur, mo-
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vetur motu angulari, manente foco in centro virium. </
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<
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">386.</
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tus autem axeos in eandem partem dirigitur cum motu cor-
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poris, ſi vis celerius decreſcat auctâ diſtantiâ quam prora-
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tione inverſa quadrati diſtantiæ: </
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<
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xml:space
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">387.</
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minus, decreſcat in reseſſu a centro, motus Ellipſeos in
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contrariam partem dirigitur.</
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<
s
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xml:space
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">Corpus etiam Ellipſin deſcribit, ſi vis centralis, in re-
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<
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xlink:label
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xml:space
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">388.</
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ceſſu a centro, creſcat, & </
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<
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xml:space
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">ſit ubique in ratione diſtantiæ a
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centro, quod in boc caſu cum centro Ellipſeos coincidit.</
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<
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12</
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in quo quieſcit retrahatur, gravitate ſua ſemper hoc verſus
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fertur; </
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<
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">ab omni parte, ſi diſtantia fuerit æqualis æqua-
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li cum vi. </
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lum deſcribit, partem quamcunque verſus retrahatur: </
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<
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portiones circuli nonfuerint admodum magnæ, cum cycloï-
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de coïncidunt, & </
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cto, fertur punctum inſimum verſus, eſt ut illius </
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