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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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s
C AP: I.
Analysis Infinitorum.
in aeguatione sd tangentem repetendi crunt,
quo facto illi, qui unam indeterminatam conri-
nenc, semel; qui duas, bis; GHIETES, FCF CONCUE.
rene ad aequationem tansentis inguisitioni ser-
vientem eFormandam, sIC termInUS f Z Y
propter tres indeterminatas, f, 2, Y, tres aqua-
tioni ad tangentem terminos suppeditabit,
EfZ y ubi (0l2 f, 3 f 2 y ubi (0la 2, e
f2 y ubi sola y Consideratur, ∞ SiC in Cx
TerIS.
II. Obi indeterminata applicatam denOtanS
consideratur, per omnes aliarum currarum sub-
rangentes, propriam subtansentem omittendo,
mulciplicetur terminus.
TTI. Obi indererminata curvam Cgniticans
consideratur; unica per dirisionem dempta;
eig: Longenti hujus currae substiura, e hic pei
omnes aliarum currarum subtansentes, pro-
priam subtangentem omitrendo, multiplicetur
TErmINUIS.
IV. Dbi indereeminata axem (cu interceptam
referens consideratur, unica demptâ divisionis
opc per omnes omnium currarum subtansentes,
hullam subeansentem omietendo, mulciplice
EUE TerMTInUS.
V. Circa srnorum notationem obterretur.
rerminos omines orroshis in casibus iildem signis
intisniendos esse, quibustermini, unde orisi-
nCI