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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 60, page id 1032977698:0082
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60
Analysis Infinitorum.
C AP. I.
si AB auE AD actumta FUerIE = Z f, erit
ixtam relpiciens applicata BC aUE DF. = ZZ8.
ex quibus hoc pacto currae aquatio Gieomctrica
inmotescit: sIE: AD = Z f =IX, CxIE, 2 = 2
cum _ AD =Z Z8 =y, CxIE ZZ = q
X X
55
_ Sy = x x. Unde patet curram A6 Q eNe
parabolam, cujus latus rectum+.
Subtansens aurem hujus seu t CA CX 5 35.
20r e loco  ec y raloresreponendo= 27.
Ne aurem, uc in s proxime praepresso, applicatarum
abscistarumque relaciones numeris continuo exprimere
necesse habeamus, in sequentibus numerorum loco (o-
Jam Z adhibebimus; iplaque quossibet cum parcium ali-
quorarum, cum mulciplicium ipsius AF exponentes nu-
meros signiticabimus, cum ee currx, quae peae manibus
est, subcangenrem +, uri Expius, dicemus.
42. Sic, Aante 5. 4T. YIYPOthCC, A D
Z f  X dC DF = E = γ, CrIE Z = = 5
_ Xy = fG; unde curVA AF Q es hyperbO-
e
la aC fubtansens + = - X.
43. Manentibus iildem, ac AD = Z f = X.
SItDP =y =1Z58 226S, seu, 2f8 Z288
7yy; unde in ultima hac aequatione posito 
lOcOZ, exit X g = X x
Em; ec Facto 5
ex
5f66
gy xquatio ad EIlip.
f.ad circulum f∞ = X X F, y 93
Cub.