# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068215:0074
# Permalink to this reading: https://leibnizlegible.com/page/00068215:0074?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2
# Folio 37v, page id 00068215:0074
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068215&page=74
# Source image: https://digitale-sammlungen.gwlb.de/content/00068215/jpgs/default/00000074.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.81
# 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.

hl+ hm + hn + lm + ln + masi p.
hlm + hln + hm n + Cm 2 B q
lumn r tollendae literae sunt h. et l. quaentur optimaratio tollendi.
Follantur primam hI, fiet hl aecqu
 et
hl aegu. 9- h ma-emm. h laegu. p- hon- tin -  lamma
in + n
et fict s n asgun-h mn et r aqu prun = hmnm Cd-mn quarum duarum
aequationum ope Folletur h+ l. ex aequatione, rentra restante. similiter ex 6 ex 7 fint. 10. ope
10 soptima olletur ht
si prius cepissemus dillere hlm, fuisjet hlmago Y. aequ. q hin-hmm- lam sed quin non vocum,
lollere m, sed tantum h. et l. ideo id inutile mac quidem
Habita aequatione at quq solum super sunt (h in et n, scut autur duae in quibus simililer
tantum l et M, itam let n.
b
1
m
+Clm aequ. g. ita maltiplicari debit ut destrucsis omi bu restet tantum 1mt
mn
 adlm  t eImn Z +f CM B +9 12 m + Hc iam omass.3
in
Q
Aliterarum, denique omnes  2 literaarum denique temunu n
et
tu
forum plus semel erit adeoque destinibilite.. Excepta tamen sumua, nan + fit 18, cui tbil oppo
nitur
Quemadmodum supponendo X + in n
e in se invirem ducendo, fit X3+ 1 X + lm Xelu
et comparando cum hac
p X + 9X +1
ft u t in venicatur dentue n, fit n  p X + 9X _- Y
quod in antecessum odicere possumus, ita quid si alias
vistimamus muctiplicationes:
X + al +b B+ cV +d l
l-mt + l - n aequ. a
1- n + l-n aequ b.
M n+ + m - n aequ. c
n +n aegu M + m = c p 12+ n- b
Ergo intam aequ 1+= b aequ H 14 l. a
X, + N( n l + mn l
X + m + M3 FIa m
X + YY FI n H In B
pro (4+ m l + mn l + scribenda
simbenda est fornula talis, ut si pro aequatione
umatur. resolvi possit non
His in se invicem ductis fiet formula
fortatalis excogitanda ex aquatio, cujus caput
incognilo ex cognita ex in, praeter ut tinam,
ut qualiscunque sit ultima semper fieri possit
resolutio aequationns et ut m. n. non
ingrediantur ultimu teminum 1+ ml+  e
vel l’4 n l’ mul + e
(+ = m 13 + mal + et
(+ s
smn
1+ n1+
+ ef
consierato licet X seu termino ullimo, fusn es epu
quales formulae sun illae, quarum resolutionem generalem fmo
5
per binonia alibi dedii iss in se invicem ductis, itque ita inn patet variegatis, habebitur
cormula tandem simils productitiae et comparando
Alitai etiam variagatio ista poterit obtineri, si pro 9 scribatur
a
alia pro sp, _ ponendo 20 +A, fier cd + 4 A + 6 Ed N + 40 d + AI + 9. sit
itaque g aequ A aequ.  co idem qod l et A, idem quod in+n et fiet:
X + 1+ + (gl 4n 1 + 6 mt I + 4 vi l + m Sed tum in eo difficultas
14
nin
Singulis, itaque remedium hoc adhibendum videtur, ut sint
Emm m
quod eodem re
+mn n modo prodicet in
6M N
l+m Adn.. H Am An. dl+ m + IB. et unoquoque ad gradum quo opus exaltato ducenido
in se ivicem, habebitur aequalio. Unde comparando redibunt tandem redorent songulae, itaque
quare factitia aequatio ad eundem re ducenda est formam