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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 165, page id 1032977698:0187
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C AP. II.
Analysis Infsinitorum.
Per, 4= F, Orit 6, 14, =: e + i, _ vocata
hujus lubtangenti OT = n, CA n C + nI = L. e, CX
Fy + n y
qua cum priori combinata emeroit h= n
V. Rursum sinc omnia he = r t = rectangulo
exrdeterminata in Z, erit juxta modo emo-
FaTa be = r et ri, Tum n e + n1 = te, 2de0
que B = n.
YI. Sine Omnia he = (+ = rectangulo ex
TD in OT. CrUnE, juXta 5. 24, u t  ipsiUSs.
aC e+ i ipsius t insinitelimae; adeoque infini-
telimales termini ex (+ oriundi, juxta 5. 13.
Schol. FW + + d + sC + sI; qui SI FANE = BC, CrUnE
Omnia hc = omnia 1 u + +2 + (C+ (1 = Y5 CX
5. 13...: Quomodo jam hinC inFINITCNIMX COI
lendae (inE, ut ipsius h valor inveniatur, jam
5. 31. in genere okentum ele; e exemplis pia-
cedentibus rite intellectis latis liguido apparet.
5. 38. HIOCnOtetur, necessario non requiri,
ut h seu 93 perpetuo ad A D applicetur; unde
currilineum AZ P per omnia he explicatur,
seu per h ex infinitelimam e, qua  TCu X
crelcit, verum d ad alias quascunque rectaS ip-
Pam h ordinari posse.
Sic enim 7 8, = h, erit curvilincum
BF A = Omnia hi; SIE hoc aequale ipAI X y sCU
Omnibus x a F ye, adeoquecum (IE X a F y e =
165