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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 3v, page id 00068049:0006
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Datur Sra  = Sx co  a
ergo aco  sit  = Ex + bb Sart exis: X+g datur sei dx per
quadraturam rationalem. Ergo datur et Saedco. Quae ratur valor
ipsius X per co, fit aa coco hh XX + 2 hbbX + b, JXX + CX Af = X 129X rgg. Coco
expere mvsi
si sit g = 0. et ehh + 2hbb_ = 0. et 2 hbbff + bt e = 0, fiet eh = - 2bb
unde ex praecedenti fit B Chh = etnff et e = +2f
et aa coed = hAXXF ebsipt echh, XX + ex + _ ec: 4, fil
q
hh X (Cchh XX + 1 ehih = XX con X coco aa
+Petih
+ eetti
unde utrobiis extrahi potest redio rihilque
lucramur.
sed si pro X+9 scubamus X + gX, fid in aeg. 1. loco X+ g. fiet
h_ RXX - = eeh = X + grCo, sed nihil hinc
sit X + thXX + g =bx +C co, et fiet
X = GhX  AB- 2hlibCoq q +h- at hb C + bb co co
gt +eC3 +
bcX Hocobb
2tht c + bb coco
14c3cd
Huius ergo formulae
datur summa
Sit data formula gentralis X= suv   pV. fiat
D =  bco: p. e. fiet  in 5, X V=  F L abco + L psup  nacb co + bblito
fit  - htia et p = a
naat
Nct ibee + Ebpe C0
et mmaa B nahh(t H) = (hF) seu n  mma: sis
et immaa hh EbAH) = (= 2btb) + 4C3 seu vel tih = mma: n
nab
cu fiet c c3- nab et fit
X = Omma
2H
+Lb Co +: na +rigmaatim ed + bb coa
+ nab.
Haec autem fomuta comparari potest generalidatae s aus 
Sit scilicet px = D+ Saamm taari +ppoV isis mn, si modo
se e id unum observetur, ut sit in data r= p
Itaque jam formulum Assumamus jam formutam
e   p ab Z= bx + 12+ siam altrm v
= Y bx + 12 + SbbxX + 23x + 24 = Sbxtnt sit, debet
debet 14= bb pX + 23X +24 aequari quadrato, bb XX P 2bX y + ccyy
et fit, X= cc yy - 24,:, 23 + 2bc9. et fe 14
et fit 14  bb c y - 2bb cc 24 yy + bb. 24. 24 8
+ 23. 23CC y9 8- 23. 23. 24) 83 2
F4. bbcC 24yy 24 23. 23
(7, 2bCyF23
23. 23Ccyy - 2323.29
23. 2bCC9= 23. 2bc 14)
+26C. 23yC- 2bcB2y 24. 23. 23 +24. g. 23. ky
sentia q de Abcc yy + 23cy + 24b,:, abcy + 13
debet esse +  altorvio evantsceret indeterminatas
64)
+4b023. 24)
+b ec y + 23Cy + 24b
+
Y 2bC12Y
=24 u+ bbccqy
:9 2bcy+23
2baC S,  4317y + 34yt 3,:, a + H fiet Posito 20 =1
Sbc 43 - 13bC et 32 c et 39 = 23. b fit c = 3t et 23: 2b + 12 = 39. seu 12 = 37- 25. 30
et eb 24: C + 12. 23: 2bc = 34. sel apt 2 et. +bb + 12 23 2b = 34. 4bbc
(9 seu 24: c + 32. 23:2bC, = 23, 23: 4bbc = 33 seu 424bb + 2b.3223 = 23, 23 = 4603) in 
seu _ C = 4. 24 blet 2b. 32. 23 -23. 23, :96633 = 21 41. 2. Ergo
23: 412b
 u ulum  sueanium et, vie ntren cilica
ita videtur haberi Eddsirum aequaturus 14 summandam reduximus dimensionem cuvarum colicaram