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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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CAP. TI.
Analysis Infinitorum.
erit C, 14 = e + i, vocatâque hujus subtangen-
ei OY = n, Aet N: F:: c: e Fi, unde
tC = n e
= = Z adcoque Z = 1 -n, hinc, data curra
ADF, datur Z seu currilinei BF A relatio
3I. Sic ex assumtis quibuslibet hrpothesibus.
per quastibet infinitesimas designatis, ultima in-
determinatarum post rejectas intinitesimas (cxere-
ris ex arbitrio ad quassibet curras determinatis)
innotelcet.
Verb: Or: Rat het do = zi tg, quomodo
hinc intinitelimae ejiciantur, sequenti paradis-
mate patebit. Ingenere, Re in suxposita aequa-
tione reperiatur, illa ad curram AD F perti-
nenslinca, quae per infinitesimam, quam cjice-
reconamur, crescit, 2d cundem axem A P ap -
Plicetur; currae que hinc enatx Tubtansens repe-
riatur, habebiturque aequatio, qua exvolitam in-
Finitelimam tollere poterimus.
Sic T. ad ipsam o tollendam, cum (ubnOr-
malem spectet, juxta 5. 24. Fac currilincum
AGP tale, ut O 4 aquetur ipE OR, Crit
6 14, =0 = e; adcoque rocatâ subrangenti
c  b
27 = b, est b: l:: e: 0 - c, unde 0 = b
TI. ad i tollendam, cum specter subransentem
concipiatur cadem 9+ esc = ZG = 1
ejusque Tubtansens Y = n, CTIEN: t:: e: e + i,
unde