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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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CaP. IV.
Analysis Infinitorum.
B: k: : C: 0, eAt 0 = h; tum ctiam cst y a = le,
adcoque
b = be de l = B = n.
Onde hric consequitur canon: Si duarum
CuEVarum AD F _ ANK, ad cundem AXCM
AP Ordinatarum, ca sit relatio, ut illius sub-
 S hujus normali NS perpCTHO
adaquetUE, Crit SuPerFicieS ex hujuIS CHIEVX
AAK FOtationCCITCAaXeM AP GenIta, SCM-
per xqualis circulo, qui applicata D  alte.
riuscurrae, tanquam radio, describitur.
Coroil. L. Sit Q N ad circulum, cujus
eQuatiO 2r ~ = ~  = s5; e OD ad parabO.
lam, cujus aequatio 2 r x = YV; Cxit PaES CUPeI
ficiei sphaericae semper xequalis circulo, qui ap-
plicata parabolae in eodem axis puncto q, tan-
9 y 6
quam eadio, descriptus est (Cu = 2r = CX;
unde POSItO X = 2r crit integra superticies =
2rC= Guadruplum circuli maximi in sphaera, cu-
jusradius r, peripheria: c; cum inter circulum
hunc e parabolam requisita relatio obtincat.
Coroll. TT. Patet hinc, data methodo (ubnOr-
malium inversa, dari omnium superticierum
conoidicarum ad circulos reductionem.
COr. ZII. PoNet e hoc principio subnormalem
NS Per x expresam in seriem relolrendonon
PaII