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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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10
10
CAD. VII. Analysis Infinitorum.
nientis (in qua nimirum determinanda ad ex-
tremum guantitas applicata vicem suctinet,
natuTa procuentem considerandam eNC; Cujus
curra subcansentialis aequatio ex supra traditis
resulis est inguirenda, ac ipla subtangens sup-
Ponenda aequalis cuidam insinito: unde juxta
Schol. General. N. XII. extremi guxliti leu
maximi aut minimi decerminatio seguetuE.
5. 3. Sint, ut exemplis hoc illusremUS, V
IntEECCPEa, tum Z, 7, f, ad candem applicata;
currarum que hinc genitarum subtangentes rel-
pectirae, l, F, n. ita UE L 2d Z, + ad y, n adf
rCFCEatT; d, b, c, r, 5, sint quantitates determi-
natx: exrremum per applicacam y perpetuo de
NOLCEUE.
I. Cacus, cum termini alcebraiei extremum
aliquod designantes non nisi unam nicornitan
quantitatem continent.
SiC rr ∞3 = ∞5 + bbcCX = alicui extremo,
rocetur lioc qvelrry autbbccrsimilivemo-
dO, GuO DONTIEXQLALIONEI CUEVX LCPEXSCNEAFC;
habebitur curram hanc exprimens aequatio,
rYX = X  = bbCC∞= y5, cujus aequario (uD-
cansentialis juxra praecedentia, cA, 3YY N XF
5 X F + bbcC+ = 5 y; In qua SI Y PONAFUE
omniassienabili major seu infinita, juxta Scholii
General. No. XIP omnes termini infinito vacui,
ac 5y, cranescent: unde, exteris pers divi
s1.