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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. IV. Analysis Insinitorum.
5. 9. Verum ec alius cxlindrica superficiciva-
los hoc pacto inveltisatur, non contemmendiulus
in hoc calculi genere. Cxlindeus, FiG. L XXII. CK
rectangulo AOFB circa AO POtatO COnStAE
infinitis cxlindeulis ex O P F D circa OP,
unde superticies crlindei majoris ex infiniris su
perticieculis cylindricis ex D F CirCa OP FO
tata genitis: talis aurem superticiecula, Facta
PF: P, _ DE: e infinitesIa FCCtX BF ICu AO,
c
aequabitur, Polita radii ad circumferen
tiam ratione ut rad c; unde rota extindri Cuper-
pe
Ticies exit xgnalis omnibus tam secundum
conrertionem intcoram, quam partialem.
5. 10. Conoides Fig. LTX. ex Figura AFO
CIrCa AO FOTaTa, juXta 17. C ap. PERC:, INFI
nitis constat conistruncatis, ex traperiis ODPF
circa OP volutis; quorum singulorum super-
ficiecula efficiuntur respectiris rectulis D F
circa candem OP FOtatIS; UNdC PALCE OMHCS
has Conorum trumcatorum superficieculas SImIII
lumtas aguare superficiem conoidicam ex om-
nibus rectulis AD, DF, F F XC. HOC CA CX
INFCOTA CUEVa AD F F Circa AO FOtATA.
S. TT. TSF vero inveniatur ejus modi (uper-
ticiecula valor, factis DO: Y, TD: 5, cui
tonsenti sic normalis D R: k, TUM EZL: a3
DE: W