# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068220:0005
# Permalink to this reading: https://leibnizlegible.com/page/00068220:0005?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 7
# Folio 3r, page id 00068220:0005
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068220&page=5
# Source image: https://digitale-sammlungen.gwlb.de/content/00068220/jpgs/default/00000005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.73
# 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 XE - a aeg. 0. ergo dividendo per X - a firt X + X a + X a + xa + a aequ.o
jam aequatio qutica X tollatur secundus terminus pro X ponendo V.a: 4. prodibit:
- 4 a.V +64y - 4a
at
+a
256
+ a y3 - 3ay +3a y -a
64
6-162 +aayy -2a) + a
et 4 12-32+64 aqu 5
Cst
(7 -4 + 1b -b442562
256
X
29b
+a3y - a
Lacy + 5 ay
∞
6
S
e
205a
256
ei
JX Eaay +2 ay + 205 a aeg. 0.
256
Unde reduetur ad cubicam tatem
q2
+ 5 aa  + 25 a7 - 25aq0
0
 69 64
- 205 a.
64
et pro a ponendo 16b fiet:
2 + 20bb 7  25 = 25. 49b
2 -205
yb + 20b6 7- 180F87- 1600 aequ
ab
y
vel pro b ponendo Aec fict: + 1ocCZ- 45 7 - 200C49. 0.
usoris ullum termini sunt: 2r5. -1. 2. 4. 5. 8. 10, 16, 20. 32,40.50. 64. 8a.  1 a 18.160is
lum
cui si addas 14 10=45 (C. 34, suo Z ponendo v+1 fiet ullimque terminus =234. cujus divisores
sunt 2. 3.9. 1. 13. 18527. 36. 39. 52.5F
72 78. si ses 11714 156 1B2
nutdemne . restar: deverent e vular s ipsius B quibu addendo 1. fierent valores ipsius 2.
3eta tog 2. 9. 7. 10.14. 19. 27. 28 57 40153.5s. 73. 79. 82, cog. 119. 145. 157. 163
1 2 5 ∞ 12 1y 1526. 35. de
quaeum soli 4. 10. 40.  consentiantcum cum praecedente, itaque si aequatio
+ 10CCs etc est divisibilis per yqe + incc, debet dividi
96
posse per Z + 2 vel Z + 5 vel Z2 + 8 vel Z+ 5o
si ad _ ad 0200 adda (34, it = 166 cujus divisores  et 53, quibus deme 1
restant 1. 82 quorum nulliun sentiunl porcedentibus. Ergo aequatio Q 1ocCZ ecr
dividi non potest per rationabem
ponas aezuae = 1. debet - 1 + 10+ 45 seu 54 addi ad 200, sit
= l46 cujus divsoris sunt 2. 73 quibus demendo 1. fit. 1 et p
e
quorum nullus consentit cum ipsis 4. 10. 40. Ergo divisie non procedit
69
bd
b
256
6
27
C
20
205)
2st
st
256F
4 11
Sd
c
16 00
180
ti
2
e
146
83.