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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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adeoque-particule prime A denfitas AH eft ad particule fecun-

dx B denfitatem B I ut fumma omnium AH 4 BI-LCKADL,;in infinitum; ad(ummam-omnium BT 46 KK F+DL;&c.0Et BIdenfitas fecundze B, eft ad!C K. denfitatem tertig C,ut fumma om-num BI+CK+DL;,&e. adfummani omnium C K+DL,&c,Suntigitur fummz ille..differentüs Aus AH; BT, CK;&6. proportionales, atqueadeo continue proportionales per hujusLem.J.proindeq; differentiz AH, BI, CK,&c.{ummis proportionales,(untetiam continue proportionales. Quare cum denfitates in locis 4,B.Cfint.ut AH, BLICK,&c. erunt etiam_hz continue propor-tionales. Pergatur per faltum,&(ex zquo) in diftantis SA, SC,S.E continue proportionalibus, ‚erunt denfitates. AH, CK, EMcontinue proportionales.. Et.codem argumento ın diftantiis qui-bufvis continue proportionalibus S 4, SD, S Q denfitates 4. H,DL,Q.0 erunt.continue‚proportionales., Cocant Jam pundad, B,DE,&c, ‚co ut progreflio gravitatum fpecificarum a fundo 4ad fummitatem Fluidi continua reddatur,& in diltantiis quibulviscontinue proportionalibus SA, SD, SQ, denfitates AH, DL,Q_T, femper exiftentes continue proportionales, manebunt_ eti-amnum continue proportionales. 0. E. D. Mn nnCorol. Hinc fi detur denfitas Fluidi in duobus locis, putd 4&E, colligi poteft ejus denfitas/in alio quovis loco Q; CentroS, Afymptotis redtangulis SO,SX deferibatur Hyperbola fe-cans perpendicula AH,‚EM,OTin a;-e;qg;ut& perpendicula H-|X, MT,T Z ad alymptoton SXdemiffa in bh,#2, 8&ct.- Fiat areaZY mtZ ad aream datam Y m-:hX ut arca-data EeqiQ ad as| cl ircam. datam Eea:A3 Serlinea rn... 5 040}* 3Zt pradncta, abfeindet lineam: Q.T:.denfitatiproportionalem.Namque fi!inex$ 4, SE, SQ funt continue proportionales, erunt; P pP are»