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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 93v, page id 00068197:0186
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 94r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=186
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000186.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 119 lines, status machine
# Lines: 119 recognised, mean confidence 0.68
# 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.

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4amV +V qdiea 4amVIT + 4 aa dd ) + aaddr = qarbc
AamVE=M,  +
Aaadd )Y
aaddrn
= aaadd, d4
V. 44
6. f2,
odees
  at. 5+
44
AH
af
 rddeet
Dargu
si esset fg- ad fireut fg. f =a5
A
an +E tumoaddM el add
gag
et f: g +5: aX
r
4aem 3d0s 4 8aa dtee adt + +aem ddee + rand e t
44
sit 4am
aa
aau
c
a
suad
+21oD bicue
ca tt = 403 a +b.  a actq + + act 10V = 49 + 50 +245 8107
aiia a A + b. 4 + de7h,
F.
F 2acZ F)
na ffth + 4aass0 D + bess 48 t acH 4= 4a ht + AM ee G  +440
It  fa C D
ner
va
l
nsed
Atq- raalita
2149 =4 4anh 4ae h
eeq
aa(ff - gaa) titur + befs - faaeC) Y. + a (5f. - 4a0) ZH.  ff (ff. - 4 a1) C. D = 0
et sit aatitu + actus  si compendii causa ff- 4aa sit am et bcff- 4a e = an
fiet 44  an 88 +  auem Z + am hZ - amts C D = 0 jan 5 - F- C
LC
fit an 4 + aatm  +amth-amfs etit amsseo
aat
etfint YC + en est, + eemintt teemme G. E a muss  antsdc
M
an F
aaanu
ergo debet esueent - 4
 +aaan.
a
VL ejue
seu-m, 4an  3
deeam L+
 li
acann
ffh0 + Aansf 86) a quari quadrato
ati
+aaun Jh
-m GB
Aaan 
- t +00 = quadrato
1(it
si esset f- e foret m= 4a, et a2 = 4ee
et erit 3 eB  26 (4 20 24 E
2an 1t du 2
m
a
4am 48 aadd et lle = 4a 1bc
-1O+ (D. nx - G+io, nerat   u- Er . 102+ L
17
na
+C
eaec
+ e4qqe + 20de4  Aaadde + aad
= aadd. 8++
oode
n
1
+
ac
ree C
des
nee
e Peem + +a an = nf
seu Peem + 4an = anf
seu eaaee aueead + Aua bess - 1 gaa taa ee = bc 5+- (4 aaeef f
2bc l2.
ed  BC
3ec + 4bc +, 3 ees L 4bc
f
 lti blicle +.11424 aebl. ()
Qodic
ge C. +) +bbe 124 (1-i) ecte)
2
fiet f+-  au (3 eet 4bc) f + a que 3ee tab) - age + abstbu td. 24 vcec q ca ee
et fiat fS. - aa (3cerbe) = jaa  ((3ec = 4bc) +bbec
2bc
tontfa   3ec (141) 4+ 4bc (1 4+ 1)
a
sod onder  esset f -a fore F= Lna D e soet ac H + +otin Adaa + Bar tGE aera ZG
ee lL
sed mitus res reducatu a una qualiatem h: C ad e inpotesinte extrahibitatas
ego ergo servato f, debet esse, ee am + 4 cen =
u u
12
ganff.
Abbce
2bc
ff= aa (3e 3 aa
et
et
ul
Aam Fraado gfs