Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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91 - 120
121 - 150
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181 - 210
211 - 240
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331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
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ut de, fg, hi, l m, &</
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<
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xml:space
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">c parum admodum, ſed æqualiter, a ſe mutuo di-
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ſtantibus; </
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<
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xml:space
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">manifeſtum eſt æquales aquæ quantitates in ſpatiis dfeg, himl,
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elevari ; </
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<
s
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xml:space
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">ibique ideo dari priſmata æqualia, quorum altitudines ſunt
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ut baſes ; </
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<
s
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xml:space
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">hæ autem, quia pro parallelogrammis haberi poſſunt, & </
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<
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xml:space
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xml:space
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.</
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titudines df, hl, æquales, ſunt inter ſe ut de ad hi ; </
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<
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xml:space
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xml:space
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.</
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<
s
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xml:space
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">Deducimus ex his curvam efg eſſe Hyperbolam cujus Aſymptoti ſunt lineæ
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AB, in qua vitra ſeſe mutuo tangunt, & </
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">TAB. II.
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fig. 7.</
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angulum rectum ABC Hyperbola eſt æquilatera ; </
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<
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. l.
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.
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p. 2.</
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caſum in quo linea, in qua vitra ſeſe mutuo tangunt, ad ſuperficiem aquæ
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perpendicularis eſt.</
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<
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<
s
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<
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.
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p. 13.</
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<
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<
s
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xml:space
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">Sit tubi cylindrici ſectio M, cujus ſemidiameter æqualis eſt diſtantiæ e d inter
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plana. </
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<
s
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xml:space
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">Clarum eſt vim, quæ ſuſtinet priſma aqueum cujus baſis eſt def pro-
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<
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portionem ſequi lineæ df; </
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<
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<
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xml:space
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">eg proportionalis eſt vis quæ pa-
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fig. 7.</
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rallelopipedum, cujus baſis eſt dfeg, ſuſtinet .</
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<
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</
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<
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<
s
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">In tubo vis quæ ſuſtinet priſma, cujus baſis eſt nop, proportionalis eſt ipſi np;
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</
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<
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xml:space
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">quia tota circumferentia proportionalis eſt illi quæ integrum aqueum cylin-
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drum vitro contentum ſuſtinet. </
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<
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<
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ſmata ſuſtinent æquales ſunt; </
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<
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<
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<
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in hoc caſu baſes nop, def, æquales, quare priſmatum altitudines non
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difterunt, & </
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<
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<
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</
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<
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<
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<
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<
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<
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<
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ABC, quem linea, in qua vitra junguntur, cum ſuperficie aquæ efficit, eſt
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fig. 8. 9.</
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acutus aut obtuſus, manentibus planis vitreis ad aquæ ſuperficiem perpendi-
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cularibus, notabo, aquam etiam terminari Hyperbolica linea, cujus aſym-
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ptos una eſt aquæ ſuperficies, altera habetur erigendo perpendicularem BF
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ad CB, in puncto B, aſvmptos quæſita erit BE, quæ dividit bifariam FD,
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perpendicularem in puncto quocunque ad BF, & </
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<
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<
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">Si DF per punctum D Hyperbolæ tranſect, BF erit ſemidiameter con-
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jugata cum ſemidiametro BD.</
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<
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<
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<
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dit, ſed aliâ terminatur Curvâ.</
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<
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ſcenſus aquæ terminatur, ſed ad certam, & </
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<
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ter ſe vitra continent, angulo, diverſam ab AB diſtantiam, ab Hyperbola
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deflectitur curva, adſcenſuſque juxta BA continuatur. </
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<
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admodum eſt inter vitra diſtantia attractiones oppoſitæ ſeſe mutuo juvant, quo au-
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getur aquæ adſcenſus. </
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<
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</
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<
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">in luminis attractione a corporibus etiam locum habet, ut notamus in nume-
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ro ultimo cap. </
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<
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lineam in qua junguntur perpendicularem: </
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fig. 10.</
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motus ab inclinatione planorum ad ſe invicem pendeat, hanc juſto majorem
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repræſentamus, ut & </
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oleum agit.</
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<
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<
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hit: </
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<
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