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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 Infinitorum.
C AP. I.
B: Z: : c: 1 quarc 1 = 3; Tertio r: y: : W: e, ec hinc
ub
y sjam veco ex euerarum relatione p: g: : 2 - 7: 6,
leu g2- gy = pc; et quoque juxta Expius in
Linnatagi -g4 = p et; Guaproptei AlOCO, 1, a, W
susficiantur modo inventi valores, ordinaca x-
quatione Aetg+Zy = ghyy =i prhF; Factoque
972
gy FI, (quiat: y: : y: b) exit B = pr + g1.
60. Ouod s Curra A L O sic Crclois primarta
X AB C huic respondens semicircuius, crit p  g.
_ Br + Bb = yZ.
6r. Ouomodo aurem generaliori modo pos-
Cne inquiri similium currarum eangentes, posica
relatione p: 9 : . 2 -y:c ex praecedentibus
guiris colliset.
62. Sit PIZ. XVIP. CUPVA ACD, rCCEEque A
D Dpoutionedata; item alia curra AFD ad
priorem ita relata, ut ductis duabus rectis P. MI ad
1O
D, ec FB ad 9 A Pacallelis, Cemper habcat in-
cercepta AM ad curram AB rationem datam, ut
padg; liner PFK C CBFI tangant curraS, dica
curque BII: B, VM: F, AM: X, MIF. Y, CuEra AB: 6,
infinicesimae BR: NL: I, CR: FO: a MP: F. G: C,
BC: H; CxIE FP: y F a AP: X + e, CUEVA AC: 6 F H;
u daca tangemte HI B: h, quaritur ILM: F, qua
canentem currae A FD determinat; cR igitur
c
p.J.: C: a unde a
mus
secundo h.J:: Wia, (CI B, = a