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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)
# Folio 244, page id 1032977698:0266
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244
Analysis Insinitorum.
CAP. V.
InFinitesia O F = W, Crit C I = F HI = a;
adcoque EI = y t a, e curvilincum MIF =
omnia pu; cum autem sic ex hypoches, a: W.
y: 5. Cei TO: G N:: N O: OC, erit OC hujuS
cuerx tansentem dererminans eequalis ipsi OC
= DZ IN LXXVT Figura, SCuS, _ BC = 2
adcOqHC BF, FIG. LXXVL _E LXXVII. qua
tansens est in cuerâ AD F, crit subtangens in
curra secunda MI NI, 2C MF = omnia v =
CHEVa ADF; X B M = omnia a; unde, A
Porret inveniri relatio cuera ML N P ad qXC
MF, ex data appliCAtA NO = y, _ TUBTAN.
senti CO = 5, quae lincae TD curvam A D F
ransenti aequalis est; inventa eNet recta MIP
aqualIS CIEVE AD F.
Ouare omnis curvarum mentura ad metho.
dum tangentium inverlam, seu ad hoc proble.
mareducitur: data FIZ. LXXVII. curra axpli-
Cata NO e Subrangenti CO, invenire xqua-
tionem, qua curra MI NL mediance applicata
adaxem Cuum MO FCFCPtUE.
Schol. I. Ouomodo autem tangentium in-
verla methodus cum fructu in geometria tractari
queat, si CO in terminis proximis data (II,
Cap. de cans. 5. 93. ec scg9. octensum est; unde
hoc solum ad currarum rectificationem re-
Cat, ut valor lincae CO, datus in terminis ap-
plicatam y respicientibus. scuremoris, ad ter-
minOd