# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068191:0256
# Permalink to this reading: https://leibnizlegible.com/page/00068191:0256?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 256, page id 00068191:0256
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068191&page=256
# Source image: https://digitale-sammlungen.gwlb.de/content/00068191/jpgs/default/00000256.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.90
# 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.

sint pondera aequalia A et B unum
HR
elevatum suprahorzeutem pedibus tribus
AH, alterum pedibus duobus 1BR, ajo
esse potentiam ipsius aA ad potentiam
ipsius B, ut 3 ad 2. Nam sxo
sugmtoriq cleatio dondus pedist super
1A 
Si suprae herizontem si ex CA 2A4.
atqei
 Zueber
unius pedis amidit potentiam quana
est elevatum esse altitudine unius
eid
H R
pedis super horizontem. Et descenteutr pona Dende preat
tantundem
denique
semel et descendendo, pur 3AH tertium.
tunc autem amisit omnem. Itaque ter habet
potentiam elevationis super ad unum
pedem. Eandem B habet bis, sunt ergo
pet at
pedem
eorum potentiae ut 3 ad 2. (per prop. 2. hic) seu ut
ut elevationes. Idem est in numeris quibuscunque
imo et in proportionibus incommensurabilibus,
quia ussmmi possnt ab is commensurabiles tam parum ab ipsis
parum quam volumus differentes. Ita et error
sit dato minor.
Familiarus enuntiando: potentiae
ea
e
e
librae elevatae ad duos pedes
supra
horizontem dupla est librae elevato
ad unum pedem supra horizontem
+sed retinet ad huc
potentiam descendendi