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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 14
# Folio 5v, page id 00068167:0010
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jam SB: BF:: sB+ BH  = =. sit SB. F = 3B. BF + BF. Ba Ergo fiet 
SB = BF. BH : CF-BF seu SB = SBC + CF2. BH : CF = SBC+ CF2. ubi BC mtdi l
incognitam nam BC = BH + CH et CH = yC: g - 4. ipsa autem BI datur quam
vocabimus t porrodatur BE quam vocabimus . fiet ergo ut BE seut ad BF ita BN ad se
Engue pN = 5B. : BF. javit datur BL seu BH v L, - HL seu l Ergo BL = h - l
seu BR = BHC: CF - BF
6, et, fiet
13H = y + 6 - b. porro datur UL, quam vocemus l fiet BL = y + C - b = l et fiet
NL = yacab BN - BL = y + c - b C: CF_SH, +C (SBC+ CF seu) - SBN + CH ECF
- 7+ c - b -  seu NL = y + c - bC:  r - 1y + c - b + yc: q - q + rY - y + c - b - l
jam LB est ad NL ut pondus et in E quod vocabimus P.  est ad pondus in E et
pondus globi quod vocabimus  simul, seu LP ad NL ut  p ad p+ g
landem fet LP = y + c-b e9. r- sytc b t yc. q- q +rr -yte bel P. Br
Et AP=  7 +c- bC: r- Sytc - b + yc: 9 - q + rr - y + c - b - l p0 p19 = y+ C-
quae AP debet esse omnium possibilium minima vel maxima
ensb Quoniam autem compenidii causa multa possumus assumere
pro arbituro. ut magnibudine in ipsius AB seu rectae b, iem ipsius BE, seu
rectae e, ilem ipsius radiu Y hinc formula ircationalis reddi potent
extrahibilis Generaliter pro _ytc substituatur  v = AH et
pro yc: qponatur B- C c: g. ita formito extrahenda erit
v= 20b +bb + v = 2BC +cC c: g - 2v - c c + 99+1. seu
VD + -2b - 20:49 - 2C: 1 + Cc: 9q V + bb + c: qq + reC + 44 trY : 1 + CC: 99
quae ut fiat extrahibilis _si bcomparemus cum vV 2kP + KX debet ess
(8b + c.49 + C: 1 + cc:g9 = bb + ct: 9q + 2cc + 99+ rr : 1 + Cc: 99
cl