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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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Analrsis Infinitorum.
C A P V T TI.
Canorum Curvilineorum
dimensionibus:
1X lerrim. 26 _x27, Curra ABCDEF
 sFiZ. X X VT. rectulis ConCtaF; angulOS
In B, C, D, E, _C. Facientibus; unde (p2
tium A FO (cujus angulum AOF hiC rCC.
cum supponimus) polrsonum est; quod poly
gonum A lineis ipsi FO parallelis EP, DQ:
CR _C. Partelque axis intinite (smas aquales
aUE inaequales P 9, OR, R S XC. INterCI-
PientibuS, dividaCnE erapeZIA D OPE, CRD L
e similia; exic omiuni crapeziorum summa ex
Cicometriae legibus aequale spacio infinice poly:
sono seu currilinco ABCD FFO A.
2. Idem Constat; ( planum in trapezia FGID
ope linearum ixs A O aequidistantium dividatur.
Ouibiis principiis ominis fere currilincorun
mentura hactenus noca ablolvitur:
3: Rd invenienduM erBOtapCZIIDO PFVX
IOreH, SIF D O: y. D F PCU O P: C IHANITESIa;
uE _ E HI: d; quare FP: y + a; unde trape
ZIUM D OP E aguatuE FactO ex DO. + PF
IM 3 P. Peut 29c t 1c; et delero (iuxra lemm.
2
10.) intinicesimarum rectansulo ae, erie tra-
Perium
EA P. II.