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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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Analysis Insinitorum.
C ar. I.
cati, ac rursum per infinitam se divisi Fiunt hoc
iplo determinabiles; unde, per ejusdem Schol.
F. XII, cum omnibus cateris terminis deter-
minabilibus 2 fxF, Z X Xt, rejecti aquario
nem hanc reliquam Faciunt: 2 ft n F 2. Z X t n
n 2 fyy m aut reDOsITIS PrO feC Z ValoribuS
geer, ac reducta aequatione, qrF + 2 r Xt
= 2 977. Quae aequatio est ad tansentem hyper-
bolx Apolloniana, cujus xquatio: qr X LY X X
9y7.
Porset e haecresressio alio modofieri, divi,
dendo omnes terminos per utramque intinitam
kn. unde ex ejuldem Scholii General: PEXcepris
idem proreniret.
Coroll. Hlinc maximi ac minimi jam plurimis
ulicata methodus demonstrationem luam hau-
rIE; tum ex altiorum quoque praduum curra-
rum in plano descripriones Facillimo Fortan mo-
do deducuntur; qua, cum hujusnon sintloci.
uri ec plucima alia hinc orixinem ducencia; la
tius hoc traccatunon prosequeur.
40. Hloc addam, methodum huic consequi
qud si determinatx cujuldam currX, Verb: Or:
Ciroidis tangens expetatur, possir hac ratione
aequatio extriberi, non modo Cirloidis ex cii-
culo aliisre curris infinitis oriundae, verum ee
aliarum insimul currarum, ac latis prima fron-
te a Cinoide dissentiri apparentium tangentes
2I