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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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+20 Analysis Infinitorum.
CAP. II.
unica opera obtineri; cum enim, juxta hanc redu-
etionem, AaFyP = bPCQX = 4, CFIE INFELCCPEX
exponens hic negatirus, adcoque guxlita ratio
juxta parabolae leges ur pad p - gk; ec seguituI
utilissimus hicce canon urrique casui congruens:
in indasanda ratione omnium y e ad omnia b l, in
trperboloide pariter ac paraboliformi, primo, (I
OpuS SIF, aequatio co reducatur, uExeC y ab OpPOSI-
tis aequationis partibus conspiciantur, hoc cst, ue
parabolitormom repexsentet; crirque, ut dioni
tatis applicatarum, ac dignitaris interceptarum
per quaesitam porectarem mulciplicata summa:
D +gk; ad dignitatem applicatarum p, ita om
Mab: 2domnia y l.
Esc autem intercepex in paraboloide pore
ctatem in g in hyperboloide  -q Pos redu-
ctionem latis appacet. Nocotur iplum e ad quos
vis, tum Fractos, cum neratiros, exPOMENTES
extendi ponc. Exempla his calibus infervientia
EranEIIIO.
Coroll. V. Deducitur hinc celebratissima C)
nallisci Arith: Infirit: DEOP. LXIY, cum SIC
pad p F 9k, ut unitas ad unIEateM F p J S enim
curvarum aeguationes ad quaelia yL eeducan-
tur, emerger pro parabolâ Ccu feric directa
Y
0k
a
X qk
p; Pro hyperbola veroseulc.
ric InVECCay E = B  C 2 X = 2E
P; Quare, (1xO.
EC1Ia5