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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 166, page id 1032977698:0188
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166
Analysis Insinitorum.
C Ap. TI.
Bi, TU +a = ye, _ jUXta S. PEXC. F. X. IV.
ne ni = +0, ejectis infinicesimis Ret B=
N X y 4 n t y
+C- 11
Nec ulteriori discursu adsruere opus videtr,
Porse h ad quastibet rectas quibuslibet infinite
simis crelcentes applicari; modo intiniresima
rum eliminatio, juxta ea guae in S. PPaeC. tum
e 5. 3T. tradidimus, legitime adhibeatur: (ic
enim ty poterit supponi = omnia he in curvili
neo AZP; tum omnia ha in curvilinco
AF , item = omnia hi in curvilinco A F B.
necnOn = omn. ho in currilineo 30, 15, 17, V
e Sic inAniris miodis.
5. 39. Neque semper necessarium est, uE
rectilineum, cui alia figura curvilinca aequalis
GuaeritE, SIC inteE rectaS ad CuEVam AD F (DCC-
tantes consticutum; quinimo generaliter solvi
porest problema, ac inveniei relatio, quam
3 AI
currilinei A 3 arca semper lic aequalis rectan
sulo quarumcunque applicatarum 4 dx 15.
Factisenim 94 = f, e 25 = 2, Tubtangen-
tibusoue, Q= b:  18, = d, ac infinire
TImIS, 6, 14, = , 7, 79, = 
Cum ex lypochesi (int omniahe = f2; crunt
 +. Zo termini infinitesimales ex rectangulo f2
Ociundi, qui s fant he; erunt omnia hc=