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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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d
CAP. I.
Analysis Infinitorum.
subtansens ex praecedentibus nota cA.
43. Sic, Politis p ex qporectatum determinaris in
dicibus, AC CXTExISUE LUPF2, ~ Pf  X  AD, aC
248=DF = y, CA~ P= F; XZ4  unde POA
reductam aequationem gP x 4 = f9 yP, locus ad
Paraboliformem quamlibet. Ouod si q signone-
Sativo aHiCIaTUE, Ratque 29=: y, exit xquatio
yP x 2 = gP f2 ad hrperbolitormem.
45. SIc Zf+ 22f+Z f= X  AD, dC
XS+228 + Z 8 =y =DE, CPII~ +ZZ + 2
 _8xfy ad lineam rectam.
46. Sit ZZ f+ Z f = x  AD, _ Z4Q
= D F = y, emerget, ip(d Z per aquationum
comparationem elisa, aequatio ad x ecy; cujus
ut e praecedentium omnium subtangentes ex
5. 35. CognitX sUNE. Pollene _ hic praeceden-
tium convertae demonstrari. Sed, cum opera
rix Fucurum sic pretium, his super ledebimus.
47. Sic posthaec pramia, jam in Fic. XVIII.
AO. , AF = f, _C FG = E, IICM AN = r, VOCetL4S
19 = f2, de
D = undes interccpra Aac
x = 2f, 25, 35, ecc. 2u1 2 f. 5f f, ac. erir applicata
respectira,  8, 818 _C. AUCNE VCrrE, VIrZ
quoc