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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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2
Analysis Infinitorum.
recti _R ipII
C AD. II
Derpetuo ac respective adaequa-
recur unde, si C=O R duca Forec in termins
aeguationis cueVX AD E proximis, obtinCFCTUI
intentum, juxta C ap. L, 5. 93, ex leg9. Modihoc
inquirendi rarii C ap. L. 95. ec. videri DONunE.
Duibushunc adjungo; cum referat omnium
subnormalium ad currastum scometricas, qua
per (olaS x ex y: tum ec alias, guxe per curram
quocunque modo cHeruntur, pertinentium ter-
AMINOS PTOXIIOS.
FiacZ + f + g + b + d + h + k +m =
O.
AC terminorum quorum libet summa, in quibus sub
quibuscunque sienis, invenieur porestas quaeliber ip.
tIuS X delIBHCCUIE Pex Z, ip sIuIS y DeF f, iPAUS C PCF
S. cum iptarum x _ y per b, iptarum X C c per d.
iplatumy e=c per h, omnium denique x&y d c perk;
aecerminaci rermini vocentur m. cum licrera quamcunque
cerminorum seriem in singulis cerminis per exponencesres
pectiros iphius x musciplicans dicatur A; qua hoc idem
in omnibusratione ipsiusy praestar, sic B; quae racione ipsius
c appellerur D: NB. Hlasterminorum series per A, B, D, Qc.
hoc est in lingulis cerminis per ejuldem indecerminaex ex-
ponemres respectiros mulciplicacas, aue dirisas, in poste-
rum subcansencialiter mulciplicatas ane divisas appellab0.
Sequitur T. omnes currarum detienataS XQUATIONCS Pex
modoproposicam exprimi; uri cuilIBCTPALCE; CII OMMIS
Peneris de mulcicudiniscerminos inrolrac.
TI. Hanc juxra repulam 5. 35. C ap. P. tractaram om-
nium currarum, cum geomerricarum, cum c conrinen-
tium, subnormales l, generali hac xequatione extibere;
junca denorationem 8. 96. Cap. P. 2deoque lequabitur, (+ 113
(B() in ex - (D8)- (Dd
(DB) = (DK) IISX