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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 133r, page id 00068193:0267
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Mst
Vort
sis
at
2)N
etfr
reM
A)
alio
r
lon
De granslatione s. Efectu motus form.
R0sRAesio seu EL CMExSVM SR AeTVS, seu EXFENsio
eresus.
Nam (ea def. 2. de spatio juncte def. 1.) idem est factum
ea longitudinitus simul percursis singulorum mobilis pun-
corum in volumen ordinatim duitis et factum ea longitu
dine à mobili simul percursa m volumen (absolute) ducta
sed velocitates sunt ut longitudines percursae dato tempore
A
in casu motus aequivelocis, (per def. 1. hic); ergo etiam idem
l
et factum ea velocitatibas singulorum mobilis puncto-
um in volumen ordinatim ductis, et velocitate mobilis
in volumen (absoluto) duct a.
Voco autem protractionem etiam Elementum tractus
quia mox ostendetur ex protractionibus tempori applicatio
in unum additis, fieri spatium percurrum seu tractum.
cuid autem sit protractio, ita intelligetur m exemplo;
Ponatur (Fig.
mobilem rectano AB in plano mo-
vori circa extremum imotum. A, et punctorum B velo-
litates esco ut 1B2P, seu ut rectas 2BD ipri As A2B
ad angulos rectos applicatas, seu m A2 B ordinatim duitas
et triangulum AD 2B apraerentabit factum ea velocitatibus
in volumen, seu protractionem volumims, sive promotionem
clementarim ejus, quam et repraesentabit rectangulum
AGF2B aequalo hmo figurae AD 2 B, factum ea 2CE. velo-
citate mobilis (quae inter omnes punctorum velocitates sem
per arithmetice media est) ducta in volumen AB; pro-
ractio autem coincidit cum impetu, quando moles mobilis
coinudit cum volumine, seu cum nullo hatetur ratio den
ntatis. Itaque protractionem voco et eatensionem veloci
ut
s
salicet per volumen, item impetum rettrutum
adem
Im
ett
n
eat
vet
rest
qu.
cir
ita
Mo.
re
billa
ex
173