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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 22v, page id 00068193:0044
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tpili assignanda, seu media Arithmetrca
inter gravitates specificas aequalium elemen
nempe G, est = 8 S8 de: e
torum,
C
seu summae omnium rectangulorum sub q et
se divisae per e. Nam posito elementa
de esse aequalia inter se, tuoc numerus summam eorum, e
nempe ipsam totam extensionem exprimens,
ductus in 6 mediam arithmeticam gravitatem
dat sam motem aequalem summaqe gnravitatum
specificarum. Sed quoniam Elementa
non semper aequalia sunt, nos adhibitis signis
differentialibus calculum generaliter instituimus
13)
ractus seu aparium quod percurrendo metitur mobile vocetur
fuetus  est factem vocetur a
tratius est factum ex velocitate in
volumen seu ev. u
quod si diversa voluminis Elementa diversas
habeant velocitates,
u Protractio seu progressio mobilis, est
tractus se
incrementum
os
nobilis
ine et velocitate ut si linea aliqua moveatur non tratios tecatum
voluntas
pontur ex eue
atq ita be  ede ap et fit neve de
saje est
Nimirum protractim ista  est momentaneum
ipsa
tractus incrementum undo H volumine  progredente, ac progregus
compositis
name etium velocitas
momentanea est seu in quovis momento locum habet,
 et momenfaneum progressum
efficit; cum motus inde tempor Iudigeat tempore
itaque dr = ve et
15)
epe UProgressio ipsa
mobilis oritur ex tractu in  Quodsi
ementa
diversa mobilis puncta diversas habeant
velocitates i et cujusque elementi velocitas
totius
sit V, fiet qs mobilis protractio 
vde dt
(16) At pro aestimando mobilis tractu integro
sr =
per aliquot tempus; oportet singulorum
volumini elementorum velocitates per tolum
illud tempus competentes in unum adri et
sit a fac at V Svde dt = Y
17)  Et si mobili assignetur Velocitas V
(media media (ita ut sit V= sude: e
fit  protractio mobilis VC; et rursus si
toto tempore pro velocitas mobili constans
issignet (V) aequalis ipsi
perficiemt
elibat, ea
er erit
quo velocior
tanto magis
crescet, quanto
et relociot
motus et
longior linea