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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 133r, page id 00068195:0265
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 134v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=265
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

aa + Xx aequ. yy.
XX XXF 1X (. B aep V2 2ay B
y+ 9
360600
173
77
Ergo + X ax aequ y dy (et rursus dy aequ. + fxpx
et iterimus aa + ra qu. g. seu ag aequ. aadly exader 2fclys
37
Var +x
TaX AE aequ a. AB, X. BC,y
yy aego 2ax + x + da e
I dy a
y sit aequi e+ fX + g XX + h. X + K X . du aequ. f + 29X + 3hXX + 4 KX eto
ydy aequ. fe +HX + fgXX + fh X + fK X ec
+ge + 2X +2ggX+ rgh X +  K X
aequ. +3AEX +fGC +  + 3th X + 3h K X
+aFex +AKfX +GKGX +AKhX + AKK X
fe aequ. a. seu faqu. a. et aa + 290 aequ. 4 1. seu 9 aequ 4 e 28
A. a7.
a
et
212
rce
2C
13 aec +2a K aequ. 4. 3. a e + a + 2 e 4ceaaFa
4
205
16
seu firt. K aequ. 2. A +  a + 3. 4 a C f 3 aaee + 3. 4. a0+ 
206
AC. CB. Bd aequales si AF FEd ciculum langant
erit AF aequ. AE
Traxrqua
sit AG aequ. X.  AC aequ. a. sit: AG AG. ravegua
x aqu
fier AE aequ S2ax, et GEaequ Trax - XX
jam AF:  AD:: EG: GD. seu AF aequ. AD. EG
G7
Ergo AF aequ. 3a Vrax-. Accedente jam
3a = X
tangentum proprietate: est DG: GE:: GE: + X + a seu 
seu DG aequ. _ 2 aX - XX. Et AF aequ 3a, +X - a
X = a
srapux
equando duos ipsius AF valores, fiet: rax (=XX ee qu 3 a X - J aa fXY
et 2a Xaqu3aa. Et X aeqo 3 a quod verum est
+a x
Tentemus in idem accommodari possit ad Hyperbolam
F AFaqu AD. EG aequ 3a Y 2ax + XX
Gd
.3aH +X
ya xta
aequ
sract
Ergo (aXtXXeqo (3 a X + 3 a a (F XD + ax. seu X aequ 2 a
se
L
EGaequara + 9 reqo E L2 ga AErgo Zaa + 2L aa
se AE aequ : a (30; et ACaqu. 43a t21 , 3a + 2a
seu AF aequ. a sed inde oritur impossibile, fit
Cum EGaeqe a Y23a +gaa sunde
patet nullam ex d posse duci tangenter ad Hypertolam, quod
est et verum est
X