# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068125:0047
# Permalink to this reading: https://leibnizlegible.com/page/00068125:0047?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 1
# Folio 24r, page id 00068125:0047
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 25v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068125&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/00068125/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.92
# 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.

V commotio eo acrius
cogitaoni praesenti incubiturum appar-
rebat e LrBINIANV S: quod faelise faustumq sit charine nobio
prabeo demonsirationem propositionis guae uubgo uo principium
u surpatur nempe potentius attollendi aeguales esse si pondera
L
ce
pondera sintaltitudinibus ad quas attolli debent recipro
pro portionalia et ratio cinandifforma nonnihil im mutata sic
potuiso eo Logui geometrarum styeo ostenderas potentiam
aC
attollendi unam fibram ad tres pedes esoe triplam potentia
attollendi unam (ibram ad unum pedem Cartic. 1. hic) et poten =-
tiam attollendi tres (ibras ad unum pedem esse etiam triplam
potentiae atollendi unam pedetto Libram ad unumnedem perartic.
2. Jam quae ejuodem ag3 mueriplasunt aequalia  unt: itaqe3
aequale suno potentia attollendi unam Libram ad tres
redes V attollendi tres Libras ad unum pedem ) CHA)
 potenuiam
agnoscodgitur quarto aequalis quoqe potentiae esse alta
Lendi tressibras ad duospedes e potentiam attollendi sex
Libras ad unum pedem nam potentia attollendi bres fibras
ad unum pedem uocetur F. patet esse e D duplanoipois
E per articulum & Rursuo duplam ipoius e Derartic.
2.) 90 C 8 05 aequales sunt. F. IVB) praeclare F CHIA
guin porro hino quinro sequitur polentiam aMollendi Tres Libras ad
pedes duos, etporenriam asollendi
attollendi duas Libras ad
pedeo tres eose aequaleo, servaro enim ut an ut ante paret(perarti–
culum praeced.) aeguari 9.  D, ilemque 8 V D ergo aequanur Q Y 6 imo
sivocerur 8 potenria anollendi sex Libras ad pedes duos  8 po-
renria anollendi qualuor Libras ad pedes rreo D porenria
anollendi duodecim Libras ad pedem unum eadem ratiocinario-
concluoioque erit nempo quia 8. -5  9 - 6 erit 8 = 6. L.VB.
nimirum pro demonsirata jam haberi porest generalio propositio haec-
:potenrias eleuandi aequateo fore cum eleuatio. C. est ad eleuationem
aliaal e naequroae an peadas. p. e poai co tspt) sie eut caqus C. alet