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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 12r, page id 00068194:0023
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=23
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000023.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.69
# 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.

Ex his apparet ipsas Z non esse Geometricae progressionie, s Y. autem est quantitas constans, at o
assimita. Pond 12 Y  (2 ey, ((2 y. es y  (2 y et  +Y N+Z y.
ergo 24y
Py
=C2) + y CZ
sed quoniam inordinatarum verarum et realium ratione  est quantitas infirate parvi,
AZD. adeoque ordinatae
hinc potest y haberi pro 0: adeoque reapse fieri _2)
hdius fignae eua in serie contimua Geonelica. sive figura erit loganttunra 22 (Z
5L g2 + v2
6 + X28 - v
gr
est Kgr-
ov+ inr=1X
ont L6= LL
geb  g + v L X
 + vy a L
L
)
9(d + vD) X
1+
LL
+,1 -7 +  V 9 p
=
1
+ a d  L
11
a- x
 p H X
A Cot sst s H X