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Philosophiae Naturalis Principia Mathematica / Autore Is. Newton, Trin. Coll. Cantab. Soc. Matheseos Professore Lucasiano, & Societatis Regalis Sodali
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*[ 208] ‚Pone DN xqualem duplo ejus 2 SLZLDCALB:&"ordinatzparsı data 2. SL.düCa in Jongitudinem 4 B-defcribet aream redangulam 2 SL x AB; 8& pars indefinita L D du&a normaliter in

candem longitudinem per motum continuum, ea lege ut intermovendum crefcendo vel decrefeendo gquetur femper Tongitu-

‚dmiL D, deferibet aream Pl. LA id eft,arcam'S LxA B;

2"que fubduca de area priore 2$Lx AB relinquit aream$Lx

ALB

AB. Pars autem tertia ID ducta itidem per motum. Jocalem

‚Hormaliter in candem Jongitudinem, deferibet aream-Hyperboli-Cam; quz fubducta de area SL x AB relinquet aream- quefitamABNA.«Unde talis emergit Proble- 2 amatis conftructio. Ad pundta L, A,Berige perpendicula L 4 A 4, Bb, quo-rum Aa ipli L 5,& Bb pi LA que?tur.+ Afymptotis L/, L B, perpundaa; b..deferibatur- Hyperbola ab. Etaa chorda ba claudet aream aba:a-;rex quelite ABN A zqualem. fin Exempl.2. Si.vis centripeta.ad fin- LAT rngülas Spherz particulas tendens fitre-.*ciproce ut cubus diftantix, ‚yvel,(, quod perinde-eft) ut cubüus il-P Ecnb,% y2 A5q? Fa?BER 0 SED SS AST AOdein ABS Dipro PEg.5.& fiet DN ut PSSEDI SPS= SFS«EDE def Geb continue proportionales_P$ 45,

le applicatus ad planum quodvis datum; feribe

tres