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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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11.
CAP. VII.
Analysis Infinitorum.
nulciplicaris componi aequationem ad valo.
rem extremum iplius y determinaram.
Quod exhibita modo exempla hoc ritu teac
candomnorescit. Demonsiratio ex C ap. L. 8. 17.
ex 35. hrauxienda.
Schol. Cum aurem Nob. Fuddenii extremorum Ceu maximi
_ minimi mectiodus, cum hic, cum aliistactenus postip-
tam invencis, non paucis in catibus, larius pateatac ma-
s comprehensira exictac; eam quidem ob causam, quod
Plis indecerminatarum porestatibus non adsricta, anum-
ta qualiberproprestione arichmetica, incencum assequatuT
cum primario, quod hujus ope terminus quicunque per
erphram mulciplicari, adeoque ex daca aequarione rolI
Pollit; unde hine promanantes problematum soluriones
Beneraliores mutco acnuis quaudo que catibus sufticien-
CCS CVadLLIE.
Sic Ver B. Or. Zquatio ad circulum 27 ~ = X X = yy,
cujus applicatarum maxima expericur; habebicur ex prace-
denei 2r∞ = 2 X X = 0 e r= x; quod d ex methodo
Euddeniana, uri norum, consequitur: Si vero alia juxra
eandem mechodum astumarur propressio, aCTerminUs 2r X
per cyptram musciplicetur, obtincbieur MOX Yy = X X
LCu ) = X.
Quod maximum in circulo sine relatione ad ipsius diame-
trum, adeoque de locum, ad quem Fururx sune infinicorum
circulorum eodem verrice descriptorum applicatx maxi-
mae, prima instancid determinat. Operx precium mihi
facturus videor, si methodi modocradiex, cum admiran.
d0 canri Viri invento conrenienciaur, insimulq. ipsius hoc
fundamenco innicencem demonstracionem aperiam.
ccy x x td +b =O; OpOrteL
olo
3.
Sit in eum finem aequatio; X5 = B~