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# Title: LBr. 705 · Overbeck
# Folio 117v, page id DE-611-HS-861255:0234
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 113r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=234
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000234.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 97 lines, status machine
# Lines: 97 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

a
ay =s(aX + a X) si y = lo2 + 20V et X - 50Z 16ov isba
40V
40v
=aagus dececagus = = 10. 10. 40 2Z V , 10. 20. 40 Z vb 20, 20. 40 = 2. 10. 12. 49 47 p = 2. 20.12. 40 a ∞v - 56.56. 40 V
)3. 50.56aZ
3.50. 565643q
56344
+3.30. bo b0 a ZoV +60. 60. 60 aV +6. 10 5 bo6o a a ZV + 3. 60. 60. 36 a a vV Au 56. 5060 a V
+3. 5050. 60 47.
 S0  +o az vv + 6a 40. 40a1.
itoque ut tollatur V et vo, fiet ob V, 20. 20. 40 = 68 + 40. qu. 60, el permu
ob Z0V,
ob a V,
X=
t
+56.40. 40 aa vv
60.6d- 20. 20.20 + 20.40. 40
2. 1020. 40 = 3, 50. 60. 58 + 40. 40. 50 (taudo  2. 50 40. 60 = 3. 10. D. D +. 10. 40. 40
2. 12. 2040 = 3. 6. 60. 60 +40. 40.561
2.56. 40.60 = 3. 12. 20 20 4 12. 40.40
18 = 3. 20. 20 + 40. 40 - 
2.4060
y = 502 + 600 +56 a quos valores substituendo in aeq. fiet
(13
aagy = = 40. 60. 60 v. - 2.40. 50.60ZV = 2. 40.56. 60 aWV - = 40. 50.50 27 V - 2. 4. 5 56 azV
40u
+1025
ay = Haxt aX) sit x = 1oX + 20B +12a
+ 20. 20. 20 V +3. 10. 20. 20 ZVB + 3. 1. 20. 20 avv +3. 10. 10. 207.V + 6. 10. p2 29 a ZV + (+ 3. 10 1012 a57
+0
+ 20.40. 40 v3
+104040 = VV + 12. 4040 avv
ec
et otr
+a X 150Z
pmendi
50,5006
(13.1012.12a02
(12.12. 12 a
X=
+ aax =
1 = n -a
pel ca -da +CC sn cem AaaC= 8a BCC a seu ac = 4aa + cC
CC sit d= Za = n, fint Zaac = 8 a3 + Z acC seu 2ac = a a + 4cC
n = ((9 + ccg, : c) CC VE- nn C a Hgg gu
4cc + 2C. a + gaa = L aa - aq
c
ita
= un L. se n - 4) si est _ _ rg = nn nn = 299 firiet c = 2  = 9
 sit
a
n= a12
cnn = q+CC,9
9299 = G+ E
=, +2: 1= p. hUC = pM: q quod non licet
se
Cnn = g + CCg
29
29
M: F = 49g: 29912
un +29g = fgg Ag X(rs 12n- rg = sHt sit s= 1 fiet nn-
nn -gg = gg +StE, seu n + g, neg, = g9 + st t e ntg, n - g = Vrs - nn + SFt
C
5(TI+H) = AN = sintg A -g sit 9 = s, fiet n
nn +99 = rrs - gq
nn - gg = stt + gg
nag, n- G
m= n 2 et g = + fit n = 3 et g - r, fiet AE Y81 -64)
p = 4 et 923, 256 = 2
E
n- 923 fit nB-
16-7. 8) - 16 - 81 = 16- 20 4
= 625 - 324 = 301
d - _ Z
4 n = 2
pn = 9 + cCg sa c = 29 fit c = 29 et g- 1 sit 1 + 4 .  = 29, ( un = E. san - 3
1 = l = 9= 2 1 - 
m: f = p.h = 9, 3+ 4, :. 499110 217:, rto
pn = gc +C9
19+CC et gc quadrati 4+ CC = sIY gc = stb s s 9 Et c =  t
99 +Cc = YY gc = CH
9 + Y, g. rdd cc. C = SBp frit, 9+Y g. + = 55L+
49 +CCF gYY dd r - cC
39 + cc = mm gc = nn _ mm -gg = A cc s sit CC - ppqo C = pq
d0
fint mm=gg Z ppha  opq = nn
mtu = p99 m - 9 = P . eP = g9 = p m +g = g9
fint m = 99 +94, : 2 g = 4g-94: 2, sed rlacoanesit g
gg + cc - 2gc = mm-2hn
an 2cc- mm g = np: c. fit 3)
do
ce
a mm-ce, mmt
m- g = 99
n cE = mm seu n  = mm cC
Ec