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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 97r, page id 00068193:0195
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De VELOC15A5E IN VrIVe SIM
Defin. J. V2LocisAs IX MosV evOCVXQVE est
affectio mobilis quae ett, proportionalis longitudini quam per
sn a
curreret, si motus, per data magnitudinis tempus hac eadem
motilis affectione retenta contmuaretur. Eadem autem
manoret, si aequalibus temporibus aequales porcurrer et longitu
d
dines, quo casu ModV dicitur AQVIELOX.
ples C
Hactenus non egeramus niri de velocitate Motus aequi-
distributi, ubi omnia corporis puncta aequali velocitate moven-
tur. Operae tamen pretium fuit notionem altins nunc attol-
lere, et generatius conupere velocitatem, ut curcunque mobili
attritur porit, etiamn ejus puncta divensas habeant celerita-
C
tes, nempo n eau similaris corporis, Velocitas pmus erit me-
dia arithmetica inter omnium punctorum velocitates, qua
in mobile similare ducta idem prodit impetus, ac si singulo-
rum punctorum celeritates mobili ordinatim assignavitemut.
Et quidem, homnu punita tendant ad eaedem partes, Veloeitas
mobilis erit ipsa velocitas contri gravitatis, ut suo loco pate
bit distinctius infra.
Quemadmodum autem supra di-
menti sumus velocitatem aequidittributam per longitudinum
motus aequivelocis, ita nuhe metimur velocitatem quamvis
per eandem longitudinem motus aquivelocis, sed elevata
vel exattata notionis ad motum etiam non aequidistributum
ut cap. detraituert explicatum, seu longitudinem tractus, quae
rendo scilicit pro longitudine percursa a mobili, longitudinum
mediam arithmeticam inter omnium punctorum longitudme
simut