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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. V.
exit q =
Analysis Infinitorum.
D + 2 pf
2 Pf +. P
 2f3 dc 9. p:: 25 :p:: 2 f+ 1.
2 f. seu ut numerus impar ad numerum proxi-
me minorem. Observetur, cum q hic majoe
sit ipta p. Semper r adhaeluram ipsi y; sed HaeC
nihil habent difficuleatis.
Coroll. II. Sit Fis. L X XIV. cyclois (cujus di-
mensionem hisce cognatam hic adjuns0) prima-
FIa ADEC, cujusaxis AF: 2r, AC Flemi-
circulus genitOE, VocentuIq. AO: X, OC: y
CF: h, DB:5, quxe crcloidi normalis est,
5: f:: h: y:: W: c: : Z: r, unde omnia ru = Onia
Z C; DOnatur = in ∞5. doncc descxipEa SILCUEVA
L ST; Cujusutnolcatur relatio, Fuit B: v:: Z: Y,
: AC: AO, TCU 2YX: X N:: ZZ: rr, unde
2Y = ZZ X. Ouare CUEVA YSL ex hypeI-
boliformibus una est _c juIXta C ap. II. 5. IT.
CoroII. 2. CurvilinCLM X A FFF seu omnia
Ze equale 4rr; adeoque omnia W, Peu
omnia zC
seucurra creloidis = 4r, hoc est du-
plo diametri circuli genitoris. Obserreturhie,
CUI X A OF seu quaelibet pars spatii lIVper-
boloidiscornita sF, etiam AD scu quamlibet
curra partem hoc iplo notam cAc.
5. 3. Addtam et hoc a pluribus animadrer-
Tum, cum ab (que lemmatum auxilio immedia-