Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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primum urgetur in
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I,
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ut
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DR
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ad
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DF.
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Pergat autem corpus verſus
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k;
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centroque
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C
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& intervallo
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Ck
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deſcribatur circulus
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ke
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occurrens
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rectæ
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PD
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in
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e,
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& erigantur curvarum
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ALMm, BFGg, abzv, dcxw
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ordinatim applicatæ
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em, eg, ev, ew.
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Ex dato rectangulo
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PDRQ,
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dataque lege vis centripetæ qua corpus primum agitatur, dantur cur
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væ lineæ
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BFGg, ALMm,
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per conſtructionem Problematis XXVII,
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& ejus Corol. </
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>1. Deinde ex dato angulo
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CIT
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datur proportio naſcen
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tium
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IK, KN,
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& inde, per conſtructionem Prob. </
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>XXVIII, datur
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quantitas Q, una cum curvis lineis
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abzv, dcxw:
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adeoque com
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pleto tempore quovis
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Dbve,
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datur tum corporis altitudo
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Ce
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vel
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Ck,
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tum area
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Dcwe,
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eique æqualis Sector
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XCy,
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anguluſque
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ICk
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&
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locus
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k
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in quo corpus tunc verſabitur.
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Q.E.I.
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DE MOTU
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CORPORUM</
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>Supponimus autem in his Propoſitionibus Vim centripetam in
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receſſu quidem a centro variari ſecundum legem quamcunque quam
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quis imaginari poteſt, in æqualibus autem a centro diſtantiis eſſe
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undeque eandem. </
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>Atque hactenus Motum corporum in Orbibus
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immobilibus conſideravimus. </
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>Supereſt ut de Motu eorum in Orbi
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bus qui circa centrum virium revolvuntur adjiciamus pauca. </
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