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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 249, page id 1032977698:0271
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# Lines: 36 recognised, mean confidence 0.84
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C AP. V.
Y X
exit r = 27:
Cmerget +=
analysis Infinitorum.
2 Y ∞ = 2 X X
24
Y = 2 X .. 8: 5:: ∞: F:: f: y; undc
2Y X  2 X X 2 + f = 2 x 
ee
aut, loco f lurrosato ipsius modo invento va-
Lore, cub. r = X in 4 X = pr y y.
Tandem, cum sit T A + A 9 = QF, CCV
X =n = F, erit, ralore ipsiuS t rePOStO,
YX = 2 X X = r p, Quarc per inrentas duas halce
aequationeS r X - 2 X X = rn C cub. r X in
4X = rrgy ejectox, emerset (Talvo calcu10) X
quatio lequens n + 2rn. - 8 rY n n + 2 yy n n
=6ryy n + y 4 = O. OMX CUEVE ADF rela
tionem ad axem 1  seu n, mediance 4p.
plicata 9D Icu y, exprimie.
Hinc jam quomodo tansens BF inveniatur
plus quam cognitum est: uE de hanc CurVaM
AD F Xquari tangenti BF -
genti BF = omnia .
+ X
Or, Ccutan.
Ouo pacto vero in aliis currarum ADF d
ALN positionibus res hxec tractanda SF, hOC Pet-
cepto quilibet intelliget.
Coroll. T. qu’a ergoratione ex quoris curvi-
linco quadrabili curra inveniri quear, cui recta
aqualis extriberi porest, ex corollario praesreso
Patet, Scd ex 5. 28. Cap. II. aliisque, ex quavis
cuera scometric a innumera currilinea quadratu.
raIS