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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 37v, page id 00068217:0076
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 38r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068217&page=76
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 72 lines, status machine
# Lines: 72 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.
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# After the first blank line: the recognised lines in reading order, one per line.

 X aequ. a.
y aequ ab.
Z aequ. abc.
X aequ. 9. a aequ. X - 2y. 
1
eo aequ. abcd. 258 16
8
 a+ a b aqu. Xa. . Ergo per 5. fier a + ab ae qu. X- 2Xy
96
19.
96
Rursus q. ab +3Z aequ: xy. seu aeb aequ. Xy - 3Z. Ergo a aequ. X - 2Xy - xy + 3Z
Ergo a aequ. X - 3Xy + 37.
(12)
abc aqu. XZ - 4c0 aeb + 2 a b + 6 co aequ. y. Ergo aeb aequ. y + 2c0 - 2XZ
s
V-A
2XZ - 8c0
6 36+Z  3t
(14)
ab + aebc Coqu. ya  aequ.  Xy - 2y. Ergo ab aqu. Xy - X7 -2y +4co
+(16)
x7- 400
156
12
96 - 1 - g2 + X
a + 2a V (aequ. a, a) aequ. X- 4X 7 + 47. Ergo a aqu. X - pXy + 4XZ + 2 y - 9c0
na
2y 14c0 4r2
A 256 384+61 +72 4
pernuntur ex Tabula formarum in se invicem
ductarum modum autem probandi, sumsimus ex labula exemplorum cujusque
fforimae, ponendo, quodlibet exemplum 1.C
Hinc patet posse omnes formas resolvi in X. y. Z O. et ex
his facta
a CX equ. a + a b. aequ. X = 4X y+ 4X Z 1 2Y. quo
Hinc jam si sit aequalio aliqua ut X a b aequab a - ab c
A5XCo - 5γX
 a aequ. X - 5 Xy + 3 XZ + 5Xy 2yZ 1 5 H.)
c
v a3S ac b3
Ier abe2
i
ad b3
be a
rgo a b aequy, a- ab. bd a3
cd a3
set abe aequ. abc a = abed d 13
abeaequ. Z a = Co X
Ergo 4)
a bequ y a - 7 a + COX
a
dc
ab ego Xy. 22 ) +CX
3VZ
64 14
8
c
5
8 aequ ∞0. 8
14
A
(Ergo aequ. X - 4Xy + 4XZ + 2X y - 4XW
-Xyt s 1
X
+3Xyt, 2 -5yZ
= XCo
In a aq ss exy aexrin Xco sy
o
7
d
X aequ.