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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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CAP. TII. Analysis Infiutorum.
quae (appellata A P: d, aequiralebunt termi
no ab(oluto
bbcd
2r.
5. 15. TIuic rectangulo A P F B inscriptum
lic triangulum A P F, vocatiIquC AR: X,
RX: y, SR intinitesima: c, erit triansuli pro-
prietatem exprimens aeguatio b x = dy, COn-
ltabitque hoc triangulum juxta C ap. PEXC. 5. 4.
X
omnib. y e= omnib. d hoc est infinitis rectan-
sulIS SR X Z: haec autem omnia rectangula
Peu triansulum AP F, S Circa aXeS(IOS SR
CONVeKtantUE, generabUINE COnU A F MI inNuI-
meris cxlindeulis hisce constantem; quorum
Cslindrulorum ralor analrcicus ex S. PEXC. CA =
Cy y e Cb b X X C
2Y = 2r d d ; UndC COHUS A F. ML Xqui-
cb b ∞ X C
valet omnibus 2r dd, Ceu (juxta C ap. II.
C b∞ X3
5. 23.) abColutae quantitari ordd. QuX, Po-
(ITa X IaXIMI = d = AP, tranSIE in HanC
Bbd
Onde patEE COHUIM A F. ML eNc ad cxlindrum
cbbd cbb d
circum seriptum B F N ML, Ut 6r ad 2r
adcoque utL ad 3.
Malui hoc in eacu, methodi prarid, Fixuras circum-
SCriptaS