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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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CAP. I.
Analy sis Insinitorum.
I. Subtangentem s semper unius esse dimen-
lionis, ac per Fractionem exprimi.
II. Fractionis hujus numeratorem nullos ter-
minos ingredi, in quibus applicata y, auETan-
senss(quae rangens unicam dimensionem nun-
quam eranscendic) non reperiatur.
III. Si termini requationis Fuerie simplices,
nullam interceptam x in numeratore, nultam
sant y neque Z in denominatore conspici.
LV. Si mixros continuerie aequatio curva,
EaM X quam y, item 2 es reperiri pol-
se in utraque fractionis parre; hac tamen le-
SC, uc, Fractione denuo ad aequationem re
duera, qua nihilo ponatur requalis, ac om-
AibuS Y In X, dC s II Z HUFaTIS, BIUSTe
veriatur terminus mIXtuS, qui juxta indeter-
INaTAEU PUAEUM, QuaS COnTINEE, HUMICPUM
rEPCTtUS nOn apParCat; numeris Prxfixis
singularum indererminatarum potestatum ex
vonentes, ipsorumre ratiOHCS, PErpCTUO Ex-
primencibus.
V. Vnde sequiur terminorum, in quibus
eaedem indleteriminata COnCUErUNE, Signa, POA
Peractam per numeros praefixos legicimam divi-
lionem, Fore cadem.