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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 22r, page id 00068200:0043
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=43
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 110 lines, status machine
# Lines: 110 recognised, mean confidence 0.84
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

X
ex praefixa u du dujus
VIII
(3120 151) Cpo
E119 (919,1B (9131Z O116 (713,5 (2 1, 12 13, 13
(14 15  14,14
B0,b dib 2
uad 11, 19
1319 13  13, 17
s
a it,
1s6
, 15
13+ V2 +11
+13 12 +1
11, 13 4 1512, 11
(2s3 +12,12 + 1912
414, 3 119 11311
B 16+15 +14 + 13 ∞ 12 + 115
+ 16+ 15 + 14 + 13 + 12 + 1
91,6 (341 C V =(D1B3 13 11, 12
30,6 (14
Vy (16 + 15 +14 +d
VI
V. IV
i 36 Du5 Dusa
DiE1 (3 1 (910, 5 (3)1314 (D12, 1.
12, 16
13 15
13,8
Dup
E, t
binarius
semai
3) ternari
nam pro
12
scribemus in
sequenti column
11, 12. sive
enim sit1, sive
sem
 trausfer
potest in sequente
nam si esto
nil nocet, si
est
tunc sidieri.
ergo pertinet
ad sequente
charactere
11, 12 + 12 1 22.
 11, 13, vel 11, 13 + 11, 12 + 12 p 23. quia si quidem
si quidem 11, 12 + 12 aequ. (D tunc 11, 13 ⊓ 23.
sed si u,ir +, 12 ( 0 vel 3 tunc 11, 13 + 11712 + 12 1. 23
Habenus ergo duas aequationes:
+11, 13-23 B0
+11, 1 + 12 = 23 70
quas duas aquationes in se invicem ducendo fier: + 11, 13,  +12 = 23
ergo fiet 23.
+ 11, 13 = 23
11,1 3,3 = 12 23 + 23
YI 2 + 11, 13 +y, 12, 3 - 7, 13 3
11, 12 = 11, 13
911, 13 + 12 - D
dabit B + 61
seu 11, 13-(211, 13, 15+ 234,
 + 11, 12, 13 = 12, 231
ubi si nominato sit 0. semper et numera
tor erit 0.
nihilo minores
hic nihilis aequiparantur; imo
verbi gratia  aequ. 0. non potest hic prodire
quantitates
quantitas negativa
Brevius potlamus hoc modo:
et 2377
11, 13 + 11, 13, 22
+(2) 1, 13 + 11, 13, 22 -(D
  11, 13- 2310 vel 11, 13+ 22 - 2370.
11, 13 = 23 + 22
11, 13 = 23
11, 13 + 23. (3)u, 13, 23 = 11,.3 2 2  - 1, 13, 12, 23.
et 25
ec.
Eodem modo inveniemus et valorem ae24.
Vicissim ex datis 21. 22. 23. poterimus investigare H. 12. 13.
id eAt dato numero radicem; et in ferie infinita, incipierum
invertendi sunt valores, characteres , vel si placet ad huc semel
sumendi gero repetendusque calculus anctis pluribus semper clara
oteribus utendo, adhibito Theoremate de radicis ivestigatione semet
anvento nisi malimus potius semel in uni versum calculane, e
Quanqua et hoc hectema
incipere ab initro extru rendo radicem
quo inveniimus I. 12. 13, etc. ex 21. 2E. 23. erc. serviet
nimorum ve quaeremus primum 16per 13. 12. 11. per 23. 22. 21. dende
deinde 15. 14. 13 12. I1. per 25. 24. 23. 21.
et ita porro et quicquid in hoc calculo commune est, provalore erit primi
autem aliquid commune
ponendo sequente,
inquir indari funamentu
14, 13. 12. I1. per, 24. 23, 2l. 21. et
termini. Necesse in infinitum procedente. Est
in infinitum, quia semper ex sequenti fit antera sens
aequales intulo qued estrarum proqressionis
il 21
11- 21
b + 12. bp 13- 23
6per
E