# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/964/text
# Catalogue record: 964 — [Aufz. zur Umformung rationaler Ausdrücke]
# Incipit: bv + a³/v = [Sonne][Sonne] v = [lx+am]/[x+n]
# Date: 1695-12
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=964&katnr=58545
# Work: https://leibnizlegible.com/work/00068049
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folios: Bl. 90r (from the shelfmark LH 35, 6, 4 Bl. 90r°): 1 page, canvas 181, page ids 00068049:0181 to 00068049:0181
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=181
# Lines: 71 recognised on 1 of 1 pages, mean confidence 0.66
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 90r — 00068049:0181
# Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000181.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 71 lines, status machine
X +2nX + nn
1X qam
ex +2In Lx AInn
e
e
la
tzamgtam F D bv + a = 6O
e
1
 bv+ a00
ox
b = XXLM
X + 1
1b0 + av- v suobta
an
+am 2emnX
av
sit bl+ al= 0 seu H = - 8: b
seut = a1- a: b
4. Ebllam, ba H blani
e
20 In emn
atnc
q
darne
mu
sit bam tamn = 0. fit
mm ann: b et M = n F. dib
restat 3an L. aib +2
sit ox _ - 3a m XX +3aM
+2a nr a: b..
+aM
E blxtabm a x+ en
d
X+n
Ex +am
5= b. 1x + am + a. XFn Co
e
∞0
8
2
X+n, Ex +am
E db lxtam + a n + batab xen lxram
e = coco + 2a Yab, xin extam
2fit
extam sb +xtriata=
C ∞ e B Ex+n. Ex tam Yco co + 2alab
 F. 5 00 f ratab= W
ec d
x+n, extam
b ltX Extam XIn + a XAn Extam = WW W = Xtn, Extam 
fit blxtam + aXtn = 98, Xtn, ltam
2
bxtan +~xon +easib Cxtn, lxtam = 88 + 2a tab, Xtn, Extam
N
3
b (x + ZblamX + 3blamX + bam
d
e-
D+ aB quad sit v = 10X + uX F 12 filto v) = 103X6 + 3. 18 F 11X = 310 14
u
alx +2aInX + alnnX + a m
e
e
abv
3. 10. 46. 1. 11. 12X + 3. 10. 1LX
a 113
+ 7.1.12 +3. 1I. IIX + 12
+ab 10 + ab. 11 rab 12
 L tam
Elhrx ahnxis