Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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DE MOTU
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CORPORUM</
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Cas.
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2. Agatur
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DQV
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abſcindens tum ſectoris
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DAV,
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tum tri
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anguli
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DAQ
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particulas quam minimas
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TDV
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&
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PDQ
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; & e
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runt hæ particulæ ad invicem ut
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DTQ
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ad
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<
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id eſt (ſi
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TX
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&
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AP
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parallelæ ſint) ut
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<
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DXq.
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ad
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<
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DAq.
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vel
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<
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TXq.
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ad
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&
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diviſim ut
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DXq-TXq
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ad
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DAq-APq.
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Sed ex natura
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Hyperbolæ
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DXq-TXq
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eſt
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ADq,
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& per Hypotheſin
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APq
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eſt
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ADXAK.
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Ergo particulæ ſunt ad invicem ut
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ADq
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ad
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<
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number
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<
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ADq-ADXAK
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; id eſt, ut
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AD
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ad
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AD-AK
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ſeu
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AC
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ad
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CK:
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ideoque ſectoris particula
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TDV
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eſt (
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PDQXAC/CK
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), atque adeo ob
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datas
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AC
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&
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AD,
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ut (
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PQ/CK
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), id eſt, ut incrementum velocitatis
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directe utque vis generans incrementum inverſe, atque adeo ut par
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ticula temporis incremento reſpondens. </
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<
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>Et componendo ſit ſum
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ma particularum temporis, quibus omnes velocitatis
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AP
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particulæ </
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