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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 106v, page id 00068193:0214
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De motu difformi seuaccel vel retard.
numeri indices seu eaponentes mulriplicationis rationum non
ant integri sed fracti. Hinc generaliter solvitur problema sequent.
S
pop. 8. Problema.
Si ea his tritus: tempora impensa, velocitates acquisite
longitudines percursae; unum utcunq a minimo crescere dien
m ratione alterius multiplicata, (vel submultiplicata, vel multo
plicata submultiplicata); definire, secundum quam rationis mu
tiplicationem tertium erescat, et qua sit velocitas media ariti
metica, seu aequivalins uniformis.
Condantur Tabulae sequentes ope prop. 5. et 7. ampliatara
juata Scholion subjertum propositioni 7. quarum prima orten
dit, data ratione velocitatum multiplicata rationus temporum
quomodo ratio longitudinum percursarum sit multiplicata rat
ons temporum; et item qua sit velocitatis media quantitat.
(5)
5B5: 1.
5
Tempora.
Longitu
dines per
cursa m
multipli–
cata ra
tione
tempo-
pum.
gitu
sint
meri
Velo
ad in
Simo
et n
Spyn
dent
sas
3
e
e
hoc
tem
L.
cat
ni
ruM
cur
erde
sae in multi
mporum.
suo Tabulae praecedentis: dato in qua ratione temporum s
dcroritates vel contra, invenirem qua ratione temporum sin
gitudi