# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0534
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0534?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 267v, page id 00068201:0534
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 268r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=534
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000534.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine
# Lines: 99 recognised, mean confidence 0.82
# 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.

3
4 1
5 mnm
mv m
6muv fie
2, m
5EX
compendiosissime resolvamus,
alias ad similes aliis multi
plicando attollemus. Quaresi
aequatio Z multiplicetur per X. (tametsi
etiam multiplicari posset per X + C. sumta e. pro
arbitrio, sed tunc in aequationibus habebimus formulas
impares demta X, quod non dum facere utile puto,
attoque G 7CK =, 6 muv X - DL C∞ .15 H
-4d. + 4, 10. ... + 4, 9.
quas aequationes, ut quam
et an opus sit, ab eventu discam) fier:
14)
+6mno X  CX, five
SH +O5L + (2) muvX
35
+4,8-
si
10
adeoque collatis duobus ipsius G vatoribus
ex aeq. 4, et 3. fiet
mult
Cui aequationi in qua absunt G et D, ut rursus similem, struamus, faciemus= multiplicabimus
aequationem 1. per (C, fier 2 BsC + 3(C2)
 bC) et ope aequatio num 5 et 6. habebimus
2H + 2D 3L + 93P
nempe addendo aequationi 5, hanc
e7 5bC)
44, 8
aequationem in qua etrum aberit H.
17, 5  mur X +7, 53L (4 7, 5, ZH 7) aequsi multiplicata per +7, 5 addatur aequationi
+7, 4 13
4, st
+7, 4.. + 7, 4
4,8. 418..S
2,7CX, - 7.6 muv X - 2, 16 L (2Y, 5 H
2, - 4d - 795
+2, +, 9
= 2,7,4
4, 8
sro addatur
1,8
aequationi E multiplicatae per, fiet aeg. 7 in
quae aberit .
Jam aequationem 1. multipli comus per X, ut inde struatur aequatio similis aequationi 2,
(8
fier 2BX +3(C)X, A bX. quam per 4 multiplicatam, addamus aequationi r per  2 Multiplicatue
2D + 2E 3E + B3F
Demque mnultiplicetur aequatio, 1. per B. fier
2B3
3BC)
25142 iL 3H+3P.
(10)
fier (47, 4, D +4, 4E +04, 3F - 4 bX ∞ 7 (9)
24D) - 2,5 E = 2.6. F  + 2C
e
HVBB. quam aequationemt mustiplicando per 2, ejue addendo ngutrim l. multiplica
tam per - b. fiet. Multiplicetur haec aequatio per 7. eique alia
addatur aeq. 3; multiplicata per- 2. fiet:  fieit aequatio sine G, nempe
+7.ZG) +9. 22L +7,3. H, + 7, 3P = 7bB 7 H Quam per 2 multiplicatam, addendo aequationi 6pe
2,7. = 2, 9. =2, 8 - + 2, 10. +2.d
XL..
218, 23 multiplicatae, fiet aequatio sine H,
cui si addatur aeq. 1. multiplicata
per +218, habebitur aequatio
(137
713
sine B, nempe:
10. Habemus erg tres aequationes 7, 9, 13.
loco datarum, 1. 2. 3. ita ut invents
abscut termini absoluti, B.D. G. et ex affectis
is qui absolutis proximus est, nempe H.
compendii ergo causa loco aequationis 2 scribemus: 11 bsC) +1 P + 13L + fX H0 et proaeg. 9
ae
14E + 15 F - 4b X + 2CFjo  16L +17 D + 18(C) + 19b fi23
n
8 mum
mo m
no
4 DX
+G + 4H
20
L (2
(12)
9mn
v2
.- -. B
a
H) i.
1omnv X
W A
1 2. 82. b(C)
la