# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068193:0157
# Permalink to this reading: https://leibnizlegible.com/page/00068193:0157?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 78r, page id 00068193:0157
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=157
# Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000157.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.85
# 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.

ra
5.
eniste
ums
uit
leu
V
a
s
e,
ce
e-
n
quod
ep
1)
ti
eita
eim.
2.
fermali
Sect. HI. Cap. 1. De Actione Motus et Efseitu
simpliciter in ratione velocitatum, seu ob eandeme longitudinem
per prop. 8. cap. 4. ut. 2) in ratione temporum recisroca.
Hanc propositionem ita pro captu omnium facilius enun-
trabimus:
Transferre librum per unum pedem intra um
poris minutum duplo (triplo) major actio est quam transfer–
re unam libram per unum redem intra duo (tria) minuta.
dq tanquam axioma atsumere poteram, quod js sufficere
potest qui vim ratiocinationis Gcometrica smofundioris non
satis faule attingunt. Volui tamten ad augendam autem
s
rationis m utum Geometrarum ortendere, quomodo in prae-
sentr nateria ea solo axiomate smpliciore assumto, quod
nempe majus sit efficere idem minore tempore, consequatur
actionem motus formalem etse praecite m ea proportione majo-
rem in qua minus eet tempus; quemadmodum Archimedes atsu–
mons majus esse pomentum ea majore distantia tandeme (licet
n
alia methodo, demonstravit esse momenta ut distantias.
Prop. 8.
Si aequales sunt effectus, quantitates materiae sunt reci–
proce ut longitudines motus; idemqi ett, si aequales imt
actiones et motuum tempora seu velocitates. Et vcissim
dequantitates materiae sint reuproce ut longitudines, effectus
vet aequalibus simul velocitatibus et actiones sunt aequales
Luonam enim effectus vel in cam aequalium temporum
actiones sunt in ratione composita et quantitatum materiae
et longitudinum (per prop. 3. hio). Ideo si effectus vel actiones
sint aequales, funt (per elementa) quantitates materia longi-
tudinibus reciproce proportionales. Et contra, si reciproce pro-
por
85.