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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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C AP. I.
Analysis Infinitorum.
SchinCW = F; CCd relatiO CUEVX p: g:: X: C.
90
B
sCH, q V = pc, quare etiam pu= Undet = g.
63. Duod sI Curra ABCD sE quadrans circu-
li, cajusradiusr, peripheria d; Clatuaturque ra-
tiop adg eadem, quaer ad d; cric t=d.
64. Nec opus hc adiicere comprehentiram
maxis relationis hypochesin; qua (2(IT: p i: g5:: X l: 51
5Xh
exItF =C: unde Tublata c per aequationem da
cam ipta+ per lincas rectas exprimerui.
65. SinE FIE. XTV. AUX CUIEVX ABCDXFF6L,
ita relatx, uc a puncto quoxiam projecta quaris
recta OBF, CempeFO B ad Chrram F F cationem
habeat constantem, ut p adq: tansanE SB _ IEF
currasrelpectiras, litq: KOnormalis OB, duca-
tuEOC, UE vides, aC vocetuEOB: Z, RF: f, OF: y,
IEO: h,SO: F, CuEra P F: C; InAnItCLIMA VETO FB: M,
FF: 0, BL: C, C. L: a. Quaeritus SO (euF; PrimO (PCF
Lemm. 38 et 39,) Fiz:: eia,   2; secundo ob
20
+a
Patallelas PY e BL, 2: 0::7: 0, Unde y = Z, HINC
+va B2
+fya
225, quia f: h:: v: D; ad eoque B22 Wt; I2I
vero ex relatione p: g:: Z:6; duxe proportio 2d in-
ga tFra
Tinitesimas redacra datw p b72, unde +fpy
93∞Z, Teu (quia 92 =: pC.) +
BCZ
2. o