# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/859264114:0022
# Permalink to this reading: https://leibnizlegible.com/page/859264114:0022?run=74
# Title: Lectures De Potentia Restitutiva, Or Of Spring (shelfmarks Leibn. Marg. 105, Stück 1; Leibn. Marg. 105)
# Folio 16, page id 859264114:0022
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=859264114&page=22
# Source image: https://digitale-sammlungen.gwlb.de/content/859264114/jpgs/default/00000022.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.93
# 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.

excecdinq small, its motion (to makre its ballance wich
the rest ot the carthy bodies) is exccedins Cwitt, and
its Vibratire Spaces exccedins large, comparatire to
the Vibratire Spaces oF other terrestrial bodies.
Cuppose that oF the Air next the Farth in its natural
Cate max bc8000. times greater than that oF Stecl,
andabore a thouland times greater thanthat ot com-
monrater, and proportionablr I suppole that its mo-
tion mustbe cioht chouland times Crilter chanthe FOr-
mer. and above a chouland cimes Cwilter thanthe la-
ter. TF chcretore a quantier of this bodp be inclosed
braColid bodr, and that bc lo contrived as to com-
prelsit into lels room, the morion thereot (supposins
cheheacthe Came) will continue the lame, and con-
sequenty thevibrations and Occurtions will be in-
ercaled in reciprocal proportion, that is, it ic bc
Condenscd into hale the space the Vibrations and
Occurtions will be double in number: IF into a quar-
ter the Vibrations and Occursions will bc qua-
druple, esc.
Again IF the conteining Vessel be s0 contrived a5
toleare it more space, the lenothof che Vibrations
ill be proportionably inlarged, and the number ot
Vibrations and Occursions willbe reciprocally dimi-
nistred, that is, it it be suffered to extend cotmice its
Former dimensions, its Vibrations Will be trrice a5
lonr and the number of its Vibrations and Occurs-
ons will De terver by halF, and consequener its indea-
vours ontmard willbe alomeatter by haIF.
Thele Explanations will serve mulatis mutandis For
explainins che Sprins oF any otter Body Whaclo.
ever.
Tenom remains, that I Pem how the constitutions
oF sprinoy bodies beins Tuch, the Vibrations oF a
Spring, or a Body moved by a Spring, cqually and
unitormiy Mall bc oE equal duration hecher they be
greater Ox lels.