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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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s
CAP. II. Analysis Infinitorum.
oruis inveniendis regula. ANumto quolibetter-
mino, exponens iplius Z multiplicetur per geni-
curam ejusdem termini; ac productum divida-
cur per numerum loci, quem assumtus terminus
in Ordinc porestatis obtinet; ec habebitur geni-
cura termini sequentis.
Ex: Or: Z L f sic attollendum ad potectarem
aquadeatam: exie L Z TerminUS L5 Tum + PCF X
multiplicetur, ac productum diritum per X.
(Cum terminus (IE Ordine primus) erit sequentis
termini genitura = 4, adeoque 4fZ termi-
nuS LI. hic denno multiplicato 3 per 4 Fiet pro-
ductum 12, quod dirisum per 2 (cum terminus
Ec ordine sccundus) dabit sequentis scu tertii ge-
nituram 6, qui idcirco ACF = 6 ffZZ: ∞ AC
pergendo obtinebitur leri operà binomii cujus-
cunque quaelibet porettas. Ouare (I Z + felc-
vanda sic ad dignitarem p, erit terminorum hanc
componentium series ca, quae lequituF. LF
Genitura termini
i.
TId
1II
CV
1. P In
 A.. IN Z D
=B.. In fZP = L
C... I ffZP = 2
D.. I f ZP = 2
I 4 = L.. IA)
n 4.