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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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+82
Analysis Infinitorum.
E Et
CAP. II.
5: W1: : F: C; WHdC s= e, AIEHOC  r exit et
Sh: Quare In Figura LTL. DOMEa curvE involutd
B2 on in directum, ut rd in utraque lcaqualis
un applicetur e inrlinca r A = h, erit A Y + B
= hu, _ BD B d= omnia hu; quod spatium
Bi
divisum perr dabit omnia; = omnia e, seu
Ponsicudinem axis AF in Fig. L. Facta nimi-
rum EC in Fis. Z. aequali ar. eAque, uti p2-
tet, (PaE. AB H6 in Fig. L. Spatii  Bn in F18.
LT. Crolutum.
5. 53. Ouin _ hinc nalcitur aliis jam excy-
ta ex involuta erolutam describendi methodus.
Radio quolibet P scu r delcribatur Fig. L. I.
arcus PO; cujus infiniresima, inter ux de s
productas intercCpta O) R CIT: 0, exit, obra-
dios arcubus proporrionales, ux: Yn :: X R:
R 9. CCuy: e:: r: 0, unde r = e. POTItO CrgO
aecui OR  P in directum, Fig. L TII. appli-
cetur in puncto R linea RL = n y = y, Crit
YR QK = 70, eC O9 KHI = Omnia y o; quod
spatium dirisum per r dabic omnia r= omnia
c= AF in croluta Fig. L. WbI F C = X Y = RL
 Y, e Cueva BD = CurVX Bd.
Coroll. T. Sit Fig. XIVIII. cadem Spiralis 5. 49.
ec SI. i CoroII. tractata DVSP, Factâ cir-
Ci