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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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90
Analysis Infinitorum.
CAP. I.
93. TTescio an operx Futurum sic pretium spe-
culationem quandam, quam per otium ulterius
perticere mihi animus fuerat, hic adjungere cir-
Ca methodum tanzentium inversam; qua CarisFIF
huic problemati: Dato valore lineae cujuslibet
subtaneentis (seu, Fis. ZXII. ipsius TQ inter ap-
plicatam D D tansentemque D T intercepta) in
terminis equationis proximis, invenire curvae huie
velori convenientis aequationem.
Duos autem terminos aequationis proximos
axpellem, exemplo potius manifestabitur: (II
Fic. XXII. TC:F, AQ: X, QD, y, TD: 5, CUPZ
ya AD: Z, CujuS aGuatiOy + fy y =  X + Y XX,
CFIE jUXTa 5. 17 auE35, subtangeHS TC ICu
293 d2 fyy
F= 3Xx F LrX; hos terminos Tubtangentis va
lorem exprimentes proximos dico, liguidem ex
requatione curvae proxime dimanantes; s vers
hic subtangentis ralor per applicationem aequa-
rionis cuere immutetur, Fxemp: Girat: POnen
do
37 = 3X + 3r X X = 3 fyy. adcoque
X 3 + ZY X X - fy
3X x.  2rx 3 HoS vocOterminOS remo
105. Idem in cxeteris casibUS judicinm FICE.
Jam vero ne subrangentis valore dato, du:
Dium circa hanc terminorum distinctionem obo
riatur, sequens exsurgit ex superioribusterini-
norum proximorum dianolis; Palerque.
L. Sub.