Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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les. </
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>Hac methodo puncta Trajectoriæ inveniuntur expeditiſſime, </
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niſi mavis Curvam, ut in conſtructione ſecunda, deſeribere Me
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chanice. </
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DE MOTU
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CORPORUM</
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PROPOSITIO XXIII. PROBLEMA XV.
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Trajectoriam deſcribere quæ per data quatuor puncta tranſibit, & rec
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tam continget poſitione datam.
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Cas.
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1. Dentur tangens
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HB,
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punctum contactus
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B,
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& alia tria
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puncta
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C, D, P.
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Junge
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BC,
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& agendo
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PS
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parallelam
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BH,
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&
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PQ
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parallelam
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BC,
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comple parallelogrammum
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Age
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BD
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ſecantem
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SP
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in
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T,
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&
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CD
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ſecantem
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PQ
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in
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R.
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De
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nique, agendo quamvis
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tr
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ipſi
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TR
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parallelam, de
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PQ, PS
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abſcinde
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Pr, Pt
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ipſis
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PR, PT
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proportionales reſpective; &
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actarum
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Cr, Bt
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concurſus
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d
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(per Lem. </
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<
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>xx) incidet ſemper in
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Trajectoriam deſcribendam. </
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