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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)
# Folio 292, page id 1032977698:0314
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292
Analysis Infinitorum.
C AP. XO
infinitesimam alias insuper indeterminatas sed
ad intinitesimam neuriquam relariras, conci
nCaE, UE Y Y X X ya, 2 ffX X C:
Ec hactenus tancum responderi posse videtur,
per Cupra tradita nec has nec ullum terminuM
infiniresimalem alienum. Ei Tolushocmodo ex
ponatur, reducibiles exictere; ac non nisi ipsum
eot comitentur termini inCimitesimales, quOt jux
ta Schol. C ap. II. 5. 23. Tubjunctum requiruntur.
5. 4. Er vero, expolita terminorum infini
telimalium mulcicudine, vecb. Gratia, ffx x a t
5ffx y C t 2 X X y fi, disnolci PosinE, qui
nam sine seducibiles: Cumatur quilibet exhisce
terminis 2 X X y fi, Cujus parS FI, (quae, FI I-
determinatis aliis juneta non Forer, intinitest
malem proprium constitueret) inctar termini in-
Finitesimalis proprii iuxta 5. 2. hujus reduCatU
in 2ff, 2c loco fi Cubcticuatur, habebitur
x y ffi; qui redactus juxca praecedentia ad inft.
virelimasdabIE, 2. X N y f1 + 2 ff y X e + ff X X a i
unde patet coram terminorum expoliam mutri
TUdInCM, CXCCPEO 3ffx y C, ad InACTCEMLIMAEII
x xy ff eslereducibilem.
Demonstratio praecedentium elocis lat multis
ec C ap. II. 5. 23. Scholio peti Porck
5. 5. Coonitojam, quinam sine cermini infi
nitelimales ad consruos indeterminatos reduci
biles, habebicur eo ipso ommium aequationum