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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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e R A F A T IO
AaENEO NITUnEuT: ac Post particularia quae-
dam in erronum gratiam ex hisce deducta com-
pendia, designata(que 5. 24. iis curris tangentes,
quarum natura non ex applicatarum ad intercep-
tam, sed ad alterius curra ad cundem axem appli-
cita ordinatas relatione CognoscitUr, 5. 32, dC33.
duplicem propono methodum, ex data qualibet
aequatione currae (Tire terminis irrationalibus Cire
tractis quocunque signo copulatis conslata fuerie)
cansentem ducendi; quod 5. 34. ad ca curvarum
genera exporriso, quarum sive ad alias sive ad
axem relatio non unica rantum, sed quolibet x
quationum numero exprimitur. Donec ultimo
5. 35. methodus exoriatur generalissima, applicatis
ad eundem axem quorlibet curvis, dataqne aquatione
communem earum relationem comprehendenti; (TVe
Axc per earum applicatas interceptamre sire etiam
per iptarum currarum portiones exprecta fuerit)
aequationem aliam (subtaneentialem mihi dictam) citra
ullam calculi molestiam inveniendi, quae sincularum (IX
CALCTA SINE COgNIEX) pro arbitrio sumendarum subtan-
centes una opera decerminat. Ouod ec 5. 37. ec scg.
iis curvis applico, quarum parametri sune inde-
terminatX; unaque ex generalibus hisce requatio-
nibus, quarum auxilio innumerarum currarum
tansentes eadem operi definiuntur, ad parcicu.
lares quastibet curras regrestionem ostendo. Ilinc
5. 4T. Post currarum quarundam, quae alioquin
anomalae quodammodo videntur, 2d leges xqua-
tionum rulsarium reductionem illarum lubtangen-
tes ex iisdem principiis inguiro, in quibus inde-
terminatae quantitates incer porectatuM exPONCH
I