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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)
# Folio 137, page id 1032977698:0159
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C +P. II.
Analysis Infinitorum.
que ye = Fa CrIE, = Z; unde sUM PEA B PFO AF-
Biccio, Verb: G: ad circulum =  s 2Y X X X, R
F
Ait ad parabolam = V rX, CFIEZ  2 X
; quxe mediante parabole equarione
YX =yy expressa per y (cum hic Z 2d a, seu ip (Iu5
y intnicesia, appliCAri (UIPPONaTUIT) dabit
2
17 V 2er. - 9)
rr; adeogne relationeM CAEVE
OMK. cum autem, retento ipsiuS h valorc e 10-
CO, DOTED 9 ad intinitas curras statui; et mo-
dopraedicto ex singulis emergat aliuSnatUTX CUE-
vilineum, quorum singula nihilominus cieculo
Peu omnibus he XguantE; paret dato cuilibet
spacio infinita aequalia hac methodo exhiberi pol-
TC: quod in multis casibus non exigui eR utuS.
Sic _ ex hypothesi secunda he = ZW, manen-
tibus had circulum dc y ad parabolam, cum TIEse
FW CrIE5= Z; Undeset ex naturd parabol2,
hex natura circulicognitis, ip(a Z masnitudine
nOta CA: quae ad a D CurVa A P aequalem appli-
Cata efficiet tritineum a00 x quale ipii A5 0.
Coroll. TY. Ouod Si Z 2d quamcunque curram,
spatium copnitum continentem, Satmatur, 2d
criansulum, paralleloscammum, parabolitor.
ium quandam aut alius generis quadeabilem;
erit _E Bad lOCUM COIIIIMIMI) CujuS SPAtIIIM Men
suram petitur; unde mutue eurtus curra ADL