# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068049:0159
# Permalink to this reading: https://leibnizlegible.com/page/00068049:0159?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 80r, page id 00068049:0159
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 79v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=159
# Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000159.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 126 lines, status machine
# Lines: 126 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.
# 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.

X+1OXH2 =D X-
11. 10. 22. 22 +12. 12., 20. 20] + 10. 12. 21. 21 + 11. 11. 20, 22
15. 13+
2.5. 12.790
+790
10. 11. 21. 22
1 - 3. 11 - 17 - 5. 12
=15 4790
+ 16 . 1 3  1. 1
-2. 16,556. 1,
+556 4
+ 12. I1. 21. 20
216. 1 3.H 17 1
1556
 16 +1 4 556 +3.5. 11. 12. 12
16. 17. 17. 1F
+556. 17. 17
bis
(40. 12. 20, 22
21b1 1 - 5. 12
4556 1790
= 3. 790. 1F
G.. 15, 12. 12
= 15. 790
H 221
410. 12. 2022
ibis 1
A55B
xplicando efficiendo reapse multiplicaves
a a
dis. 162
= 5. 12. 1517 + 15. 790. 17- B x 3. 5, r2. , + 3. 11. 790.17
3. 16. 17. 11 +3, 55617. 11 - 15 :16 17. I1 + 15. 17,556
l + bis 156.790 - bis 790. 16. 11 - bis 5.55b. 12 4 bis 5. 16. 1. 12
b. siet R
C + 1622
+5. 3+ 11)1I
- 162
(0  3.790
151 - 3. 16. 17
+ 45. 12
-17∞. 11
seu
eg
- 205942
+ b6.3. 5. 15. 12
Oa 3,5. 157. 12
o+ b 5. 1b. 132
VN + bis 16, 556
B X 16. 172
O = lif. 3. 15. 790
V_ + 3. 17. 790
1  + 3. 17. 556
11Z = 15, 16. 1)
1_ = b15 16.790
O
seu 355. 12∞9398, 11
Seu 158942 A
+CB
=b.B. 37
+79∞)
+856
4(6.17)
4
bis. 7
P: 5. 15. 12
145. 15. 17. 12
04.
93
+(935.7. -08,: leis
assi
pam 253000
205942
458942
15. 17,55b
bi5 55b. 790
15, 12 - 219012449960
453100
25. 122
+5 15. 12- B. 9
-5. 5. 1. 2 - 23.5. 5. 11. 12 (5. 12-790
Hinc Calculus probus
1152. 790
+290
3.790. 11 +27903. 15.11+15.790
-5. 15. N
5. 12  at 129012
-b9 F. 90. 12
172 556
bi5 5. 556. 1212 15. 17.790
Jam si per compendrum sit aequ O. scribatur:
7. 11 + 68. 11 = 935 fier 
I1 =
r
 Ergo ut scianus an in 08 + quater Y. 935 subsustat an evanescat 2
in quo tobius hujus calculi cardo situs est, (nam si evanescit nihil
actum est) patet in 08. fore bis 3. 5. 15- 5. 5.17 + bis 5. 16 12
3511. et L S. 11790
et in quater 7.975 habetur 5Z. 5 126 +5.5 (b17. 5. 73 0t 5. 15 + 5. 13.1 15. 556 - 5 1b 13.1903 t 
I 8 7 per compend. vocetur 5. 3. 12 ∞ 050, et 08 scubatur 03. 12 +0004 et 4q
935 scubatur 5. 12 +02012 + 89 et (08  qualer 3. 935 = (5. 3. 14 + 5. 3, 020 12 15. 5. 8G112 150049
( ut lollatur 12 potest poin 320, vel 5=0 vel 650. 679 +0747=0 1
etram 1 nan fit =5l. 050 + a3t -  N pinquis 5116. 124
=5 050  - 020. 656..
+03.. +b103.0q. +54
121=
3. 11 + 15
15. 12. 15 =15.790
V. II-556
3. 11 + E5
F3. 16. 15 - 3,516. 11
+(5, 16. 11 -15.55b
55b - 1b. 1
90- 51
356. 790 -290. 16. 11
5. 55b.  5. 16. 11. 12
SlC
= 5. 15. 12 3.312731179515
3. 11
+ 15
3.5. 15I2 - 35. I.N 13. 113 t3i5i
=515. 12- 3.5. 1512 +357 1. 1g0
3. I + 2. 3. 15. 11 + 152
790 - 5. 12
+790.3. 11 +2790315. 1 + 15. 790
= 5. 5.1I. 12 -2. 3,51511. 15- 5. 12. 15