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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 71r, page id 00068198:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=141
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

sit
2XZ-29 = q2v0: aa. fit  2aaX = a aZ = ZvV seu Z= 2aa X:, an + vV
L
22
adeoque g  (ax + ZV) + Yax - Z0) et explicando Z fit  fit 
y = 6 = Ra (aX HX VV + 2AaXV, :, aat vo) + ((aX + cL X vV = 2AAXB,, atvv)
superest ut )  fariamus aX + ∞X VY(+) 2AAXV,, aat e (1 extt _: Aa it fiet
P ave (+) 2t V 8. aaX tt + vexHt adeoque X = (9) a + a vr(+
sed hoc non procedit pro partilius ambabus
1 (ax + a 1 (3XZ. 18)) = co. Ergo ax = a Y(2XZ 27) = c0c.
et
a42 Zaa XZ aa ZZ = C0 - 2 a XCdW + a a XX. si fiat = a a ZZ = c04
2acoco r.I
quamquam id imaginarium, firt a 2aC00 = aet X
sit  Seax + a  (2XZ - 72)) = co s  seu aX + a (ExZ 22) = gcW, seu
Sit
per 3 fit ax + ZV = coco seu aX + 2aaX (, a a+ vV) = CoWd
seu X = 9 = cdcd:  a + 2 a d(: ,aa + v) sit  Cax = a Y (2XZ-2 G = Y, fiet
et ax = ZV = (, et explicato Z per 4
aX = a X C2XZ- 2Z) =  (11) = 1 y
fint ax 2aaxV (i, aatWV)  = pi. et X = VIP:, a - 2a a v(:, aa t vV)
Cded  2aX Notandum esse caCo + Y  = 2aX _  = aa, XX(D 2XZ + ZG
a
sea 2 et 2c1p = La (x = Z) a a a + a vv = 2aaV,:, a a + vV, sib
t
a
 aa..
a: fx +9 et a+ avo + 2aav:, aa t or sit = a:, lx tam
2a a0 = a seu - 2a aV = a =a. et fi et tna v
d’esset X =
(at VV)
fxtag aa + VV fx + a9
veas aa, a4 - 2aa fX = 2aG + ffxX + 2fagX + aagq
aat vx
esset
2aaxV _xt a (2 (ffxX + 2fag x + aagg)
aa + Wo 
a9tapgro
siet 2aax VG a5X + at g + Wasx + vvaagu, seu X = AE
et fiet ax = fX = aag = Y
ax, aa FvV = 2aV, ax = 1 1
2aav8-f- AfvV
et fit 2 - = (a -v) X(aX:, aa + vV)
et ed = (a + V) Y(ax: aa + vD)
Cd + I 2xZ - ZZ 2Z2vV: aa 2Xaa:, aa + vV Z Z
Coco +) ax +  ZV su  Ergo per 4 fit oCo = aX + 2aa X (:, aa t vv) seu coco = ax; aa t vo+ 2av,:, aat vy
= a -V, Y(a X:, aa + vY)
aa + vo
a e ax: aa + vv = tt: aa seu X  aa Ht+ WuEt: a
fict jam
seu  H- az
ex 4 et d est tt  a B axz:, aat vo = 21+ =  aZ et fit  co= at v, t: a
10)
et y = Y( (aa + vo, (1+: 4a) (2+1))  2tt,
en y = S(2aat+ tvr H (+ aatB+ vrte Baa H) = E, Y((2 +1) aa  + (2 +1) vv)
et 2L a - v, t: a
et Z= 2ff: a,