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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 38, page id 1032977698:0060
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Analysis Insinitorum.
C M P. L
nocetur hoc in catu, qui2 = = 22, lineas
6
8, ec _F, AD S dC N F SInE respectivis
currisnormales, in uteaque ese aequales.
27. Sic ex data currarum relatione rectansu-
Jum D e N aequale quadeato lincaer, Ccu y Z
rr. quae aequatio per intnicesimrs exprecta da-
Bicy Z F y 0 F aZ + a0= Yr, HOC CH peF S. 6, _E7.
0
a
i  +1za
y IUxta 8. 25, CCu K = = F. CX
quo signo negatiro apparet k ec + ad dirersis ap-
plicatae N o Partibus Carui oportere, e cui-
vam AN KC invertendam. Ouod hic, ne f-
Suras mulciplicaremus, nos negleximus; Ec
quiris, ubi cilus hoc requirie, in sequeneibus
ex calculo Cacile supplebic.
Locetur, Si y ponatur ad quamlibee parabo.
Laim, UEliE pP = rP 1X 4, Focc Z ad quamlibce
lxperbolam, cujus aguatio Z P X I E rP + 9.
28. Detur rurlus currarum relatioy 3 = p p-921
crit aequatione ad infinicelimas redueta deleril-
que delendis 5. 6, e7, p a yp- 1 = gr P 4Z 4- 10
quae ducta in y Z dabune p a y PZ =  9rP - 42 1 y0
e dirisis DeF y P = r P. 4Z4, CeiE:
juxta 5. 25, adcoque k = 2
omnt
a 0 mut a
23. Flinc, si omnis generis CiRoidalium tan-
sentes quis desideret, hat currarum relatio,