# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0340
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0340?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 170v, page id 00068198:0340
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=340
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000340.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 176 lines, status machine
# Lines: 176 recognised, mean confidence 0.68
# 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.

X2+1. (92. XDB= B V
ag +4a XX 2 + 92 = X0BM aB = erut
cA+A2+AC =BdB un es)
AtaE+ aG2D, n + n392 - 49 =
1
 omun titr b
e
det nh =h9+ tih p (dd +perha + erntti (0d + sihg +, h: 3.)a
den terhiti = 9 + h ry Bd +) dohk 2 F n3b (dd + teh9. + h 2) B D _ + tha + AA + 
2201
-
3E. 19  er pen 2Z = 99
usninci
t es
u + a7- ta 3E + Eaar + A, 22a 7 )+ a EtABt ga = a9 + s _
gurveh gunant nen ni 0=) r) etiq
2291
Atbg. 9 = gy 3 po), e12. (5 + 9939 = e2. y99 = mu 9 2. 4 = W Y) P, a v l∞ n espichis agnon
vyf + Zyef2 + Z2ef +
+
qu
EcuvB F Z uvg + ZBB, ZVX 1 u F Z Cmmnad a ot surque d9 +, AVp q rue nommi) nol
9Fnc V p r a. d2 = g. (9+ is vp  a d2 = h. C9Thop hp etum  A = h B
1- d2
149 L L qquq +
aos ap a.1 +D-h. C9 rxplip An a =hi A: 9+ d Dp aP p a B- t.lq itrrp six atque
1+d2= 
1+
plx Anv, silus a = hqus
I+av apaaE = itho)
a7 + a0s apE =
atai argE = .. + a. ) a pda E A quis. apaa E - lip X a = h Lx: .. abae. + Bti. p
h gus. h . 1.. + h.+ tit.. s tungurmen tergonenu in rgost
tungurmat in tengne ax hX et)
1 +h02au
Cun olio anteen uggonegnt
Xp hX qu peni furgu lop X  8) Dhor
nthoq
. s h12. 2 + tih 12 + no tih . . 7) N) alurgst. hx d huro vorh ress
Cnges  guum 
Ko2- 17
Eptix 1
11. + Lor. 1 u tho2
 1p hx
..p ex ata trp X Et er angimer las 
tpkiXE
anuorm min imeis f
ph e ingirmsra tpX ataq
XEI ∞ L21 ex angimera in 1 sp XS  FK
vusvront 1ng03. ale bta
ingn ungcant 3) v ta 1d kp hX sp  mvc
taaoE B: A. F B. + A. p apa E-=Xex A. o X 1.)
Ees
hor-11
11 :  21 -.. . p h12. 2 g  h + h.. + th. = kp. Y mvi
h0r-11
en-d2 Vetaz. hp
22.
CApEH Aph
 22. 11. V
EtH, o2 E1. + -. 22oct+)
1d
aa B = h jis. i thor -: 21 - hDC+ _ Y + A1221. 2 = hk, 12t  reo 181 = X
01o1. +
o1. 21: C11 - 21. 01. b - 11 p = X
et
11. 11 + X  + X 0 = 2Y + XH +, X o1 85 491
h22 - . H2 - her-
0 = E) + X 21 + XXII L
re h = 22 + 12 + YVoE: E, + XH + XXN ~ BRX N9Fo Y XX FdX XA
9Y
12 = 11 + 01
urgus nns
0
9
s
a9+ dv p apas = sa: 19+ av s ap, a5 = h: c9+hrp tx atius e = h ps
ia
-
s
227 + 21p = a : qu. 2 70 1 as E. b0 dd 1
b
22.2p2 + 2 s = a 16) 2221 p2 = 2t -aa 1) 9 p 5 do duit
22212-
22
221 + a4 21. 2= a qu 91d5 ag ataque 22. 2it= Ehhh t rs 211 d
E. ag - Z.2B 7 JS. 2.1 ardt b L. aa = Zhc + EZ + hk a = E + k
7523
731
u st lit
minxq.
X. + bX + Cx Fe aequ. quaduato s fiat x = in tnus + atry
10 X + 11X + 12 X + 13 aeq. quadhato fial X = 28 21 9y + 229 + 23, :9 30yy + 2. 30. 31y + 31. 31 fit 0041 AD +12BD 1
( 21 y + 2. 31. 2297 + 2. 21. 23G)
+ 22. 22 G2 + 222, 23y +23
LP. 1 + 3. 21. 22y+ 3. 212. 23y
7- 36. yt + 4. 30. 91y + 630. 3 1y +43 91 
+3. 21. 232 y +6. 21. 22.23y+ 3. 21. 231)
+ 223 2 + 3. 22. 23y + 3. 22. 23 9 + 2
q2
30y +6.38.311 + 15. 30. 312y +2138319 + 15. 30. 31416. 30. 317
1C D = 21.30 15 +2121. 22. 30)+2.1a330 3
+22. 22.30 +2. 22. 23. 307+23. 30G y
=2. 212 3031 +921. 21. 30 31 + 4. 21. 2330.31 +9.2277077
+2. 21. 22. 3031 + 4. 22. 25. 1. 31 +2. 23,30.311
+21. 31 +2.2. 22. 312 + 2.21. 23. 31. 
+ 22.4731. +2. 22, 23, 31y +23.31
12, 6) = 21. 36) +4. 21. 30.31 +641. 30. 31 +43,0. 313. +21. 314 8.
+22. 30 +4. 22. 38.31 +6. 22. 35.3 +4. 22. 30. 31 +22. 314
+23. 30 +4. 23. 30.31 +6. 23. 30.37 +4. 23. 30. 3
50y +5IY, + 52y + 53y -F 54y4 +55y +5b
et haberemus fierit 50 =330 et 51 = 13(6. 38. 31 + 12. 22. 30
15
21 = 4. 22 - 4
30= 2, et 3
52= 13. (15) 38.31 + 11. 22.36+12.4) 22. 33. 31 + 12. 23. 30t
53= 18. 222+ 11. (2) 22. 23,20 + 12. (6)2. 10. 2
2) 23. 30.31. (4)h3. 30.3,
54 = 10(3)22. 23 + 13. (15) 302. 31 + +23 30 12 (4) 15 30 31
C
C
A)2). 25,. 30. 3) (6) 23,38. 31
11.
. 22. hi
6
55 = 10(3)22. 232 +13 (5). 30. 313 + 11. (3 283 Eo. 31 = 17. 22. 516
2
CC
+23.51
 Sit 1i = -13 X = 1~y
su 21 et 90 esset =B fieret 0 er
C
93
 (2) 22. 29. 3(2 )23 30.31
56 = 16. 237 + 13, 316 + 11. 28. 35 + 18. 27.314
a1
a
It
lipari qu
nen ay eut
 = 21 egser
pi n
01. 01 b
or b - H 11
1i
731
aeqto
30y + 3. 3031y13. 3031y
+a
+31
30. 317
30y 16.36. 51) +638. 319
118303r 9, (430.57
+9.303
50
un 2
to
3031, + 318
Vy +415 +429+ 43
40 +2. 40. 41) +2. 4042y
+ 41. 4114
42. 40. 431)
42. 4]42. +3.H. 43)
 ag. 142 p  1)
) 1gb. Gyt g 9 rast)
ea
1. 559 +46
40 =150 A1 =51 : 2 850
43 = 156 42 34: 2156
Z. 55055 : X 156 + 51: 450
X. 51: X +50 (5b + 55: 456
SL
2 (50.56 +71. 55
5.
2150. 56
143