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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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C Ap. II.
Analysis Infinitorum.
AD N P Pcu D 5T P, duplum crilinci lyper-
bolici SDF.
Lego spatium LC N aequale duplotrilinco
SD F, demto rectangulo GD P N; cui spatio
AG N jam invento si addatur sparium A NB,
seu illi aequale seomentum circulare A HG, ex
modo datis emersit spatium conchoidale AG B
aequale duplotrilinco hrperbolico sDF, una
cum segmento circulari AGF, demtorectan-
ulo GDP N.
5. 37. Repetantur (ymbola 5. 24. 2Numta, aC
schema ZLII. oportet curvilineum A = P de
scribere, quod aequale est rectilinco cuicunque
inter quastibet rectas, curvam AD F. Spectan-
tC5, CHormato.
Dicatur currilinei quaeluti applicata 3: B,
crit AZ P = omnia he; jam quaritur h, A
I. Sine omnia Be = 2: Peu area A 93
semiquadeato in OD. HaeC X sequentia Cx 5. 23.
Tolutionem admitcunt. Cat enim he Cemper xqua-
le terminorum infinitesi alIUM (UMIMIX CX FCC.
tilinco dato. Cen hoc in Calu ex Z Ortum ducen-
tium, erit he = ya; adcoque juxta 5. 13. IEa-
dita, omnia he=Omn: Y a = 2, IaM Per Xqua-
tIOnCS Ex CuEra A D F. conquisitaS eliminenEE
I1