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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
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C AP. I.
Analysis Infinitorum.
iplius x determinatione sine possibilia, aperte
consequitur:
I. Si 25rr siEminOr ipSIS 35 X X + X, FOrC
eminoremt; adeoque curvam versus axem AF
COHCaYAM.
I. Si contrarium eveniat, FOTE CONVeXAM.
III. Si sibi mutuo aguent. Ccu A AE,
2Srr = 35 X X + x, curram in hac ipEus X
maxnitudine Fore nec concaram nec convexam;
verum hac aequatione ipsum currx AexUS COH-
crarii punctum detiniri.
Schol. Placuie hoc porius Conchoidis exeniplo prae aliis
uci, cum incer problemaca illustria a prestancinimis Hu
jus eeri Machemaricis numererur; cum e canonamsuDe
rius tradicorum in inquirenlis subransentibns praecepra
sequi; uE, quod ance cirea sipnorum nOcationem inAnu2-
vimus, apereius paceaE. Iplam enim s COnTInVO nesATIVO
valore expressam esse, cum a concrariis ipsius x parcibns
respectu applicacae eD inveniatur, nemo non videt, ac
nihiloseciussigna, ex canonum legibus oriunda. Tervando
ad requationem legitimt signorum qualicare adectam deve
nici.
Postent _ in modum 5. 37 _ 38, hxc insinicis curris simuI
 semel iind opera applicari; ac licet subEangenS + per quaS-
libet aliarum currarum applicatas desipnarerur, idem ettici;
undeiplam s ad expoliea currae ab scicam ordinacaIve X
auc y, quod hisce exemplis perperuo factum Fuic, primo
reterre neceltarium non eric: rerum haec, cum Patislevi-
cer exance dictiseruancur, compendii sraria, privato cu-
justiber Audio commicrimus.