# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068153:0001
# Permalink to this reading: https://leibnizlegible.com/page/00068153:0001?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 28
# Folio 1r, page id 00068153:0001
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068153&page=1
# Source image: https://digitale-sammlungen.gwlb.de/content/00068153/jpgs/default/00000001.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.96
# 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.

Ostendendum est, ejusdem esse
potentiae elevare unam libram ad
elevare
duos pedes, et duat libram ad unum pedem
Hanc propositionem non admittunt
tantum sed et diserte adhibent, et pro
principio habent Cartesius in Epistolis,
et brevi tractatu Mechanico, qui tum
Epistolis insertus, tum etiam separatim
editus habetur. Pascalius in tractatu
de aequilibrio liquorum; samvel Morlandus Anglus
inventor Tubae stentoreae) in tractatu
Hydraulico nuper edito; et Cartesianus
satis percepta
Sed non, intellectae
quidam qui meae demonstrationi Anti-Cartesianae alis nescio quibus effugiis quaesitis
eruditus
respondere voluit in Novellis Reipublicae
literariae apud Batavos egitis; ut alios Cartesiagos non minus
quam cciteres philosophos alterius sentensiae philosophos taceam.
Eandem propositionem verum confirmat
confirmant quinque principia Mechanica
potentiae vulgo celebratae vectis, axis
in peritrochlca, trochlea, cineus et
cochlea, ubique enim reperietur
veram esse postram propositionem.
ilibu ect Nunc autem
brevitatis causa sufficiet rem solo
vectis exemplo ostendere; vel squod
eodem redit) ex nostra regula deducere
esse
reciprocam proportionem distantiarum
in aequilibrio posstorum
a sutro  et ponderum ponamus
enim AC esse duplam BC, et pondus B
duplum ponderis A, ajo A et B esse in
aequilibrio. Ponamus enim alterutrum praeponderare ut
 atqita A descendere in (A), et B ascendere in (B)
demittantur ex (A) et (B) perpendiculares in AB
nempe (A) D et (B) E patet si A DA) sit unis
pedis R(B) E du fore (B) E duorum pedum, ergo
dita
Contra
ocs onra ad revincerar
si una librans descendant ad altitudinem Lomum unius pedis
tan
vedum alteram duas unam ascendere ad altitudinem duorum
pedum sataue adeo cum haec duo aequivaleant, nihil acquiri, praindeque nec fieri
Cat desianorum Naturae
adhiberi poturt
Legem tuto a uem