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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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t
st
Ct
A
12
93
CAP. I.
Analusis Infinitorum.
mox inrenta, qua aequatione ordinatâ, et lub-
Situto locox x ip (O Z y, aC pFO L x iplOy y cmer-
Fet + = 3 y + 2Z = L R. Juae constructionem om-
nium, nitallor, expedicissimam admirtie, su-
mendonimirum, R C aqualeM = D  F = 9 N.
32. FIoc etiam Fonce mranat lingularis ac urilis-
fima mechodus tangentes ducendi, quae nec
quantitares Curdas guomodolibet compositas,
HCC FraCHIONeS MMOTATUI.
EX: Or: SIL FIC. XP. CVEra ADE, Cujus inter-
CepEa A9: X, applicata D 9: y, ec aequatio hujus
proprietatem exprimens errxty = Vrr +XX =y.
_c huic tanzens lic delignand2.
Onem infinem qualibet quantitas Curda la-
tuatur xequalis alceri cuidam aNumex, Fiatque
Verratus fec VrrtXX = Z, Quaerocentur id-
circo aequationes assumtae, Concipianturque tori-
dem CUEra, ACC, ANK, ad cundem axem A~
esse delcripea, guarum applicatae line astumtis
quantitatibus aquales; nimirum C 9 - f, ec
N = 2; Unde aquatio CuEVa exPOSEX AD L
CxItf = ~ = y, quX VOCetuE aequatio ex assumtis
orta. Tandem cuilibet indeterminatae cua tribua-
cur intinicesima, ponendo loco A 9: x, ipsam
AP: X + e; l0cO D Q: y, iP(aM F. P: y + a;
l0CO C _: f, iplaM 6 P: f + 0; deni-
IHC IOCO  N: 2, ip(aM PX: 2 + 1 5
ext