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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 68v, page id 00068193:0138
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Sect. 11. Cap. 4: De Motu imul aequid. et unif.
proce proportionales.
Patet  prop. 8. vel 9.
Nam (Fig. 30.) quia velocitates
2
a
(3) et (2) sunt mratione composta ea directa longitudinum
6 et 6, et reuproca temporum (2) et (3), (per prop. 8. hic), et
longitudines nunc sunt aequales ex hypotheti; Itaque demtara
tione aequalitatis erunt velocitates (3) et (2) reciproce ut tem
es
pora (2) et (3), seu erit velocitas (3) ad velocitatem (2). ut
tempus ((3)) ad tempus (2)), idemque succedit et vicinsim.
Non mutile erit indiculum subjicere positionum m his
quae demonstravimus, contentarum, et si bi quaedam bis diver-
so habitu occurrant:
nMobilibus motis aequidistribute, aliisque
s
omnibus quorum motum aestrmamus motu
+
sint uniformes, tunc
1.)7
es
semporibus impensis aequalibus Velocitates
sunt ut Longitudines percursae. Veluti si eodem
tempore percurratur Longitudo dupla erit velocitas
dupla. (per prop. 4.)
2.) Longitudinibus percursis aequalibus velo-
citates sunt reuproce ut tempora. Teluti si longi
tudo aequalis percurratur tempore duplo, velocitas et
nit.
e
3.) Velocitates ualiu sunt m ratione compo-
sita ea longitudinum directa, et temporum reciproca.
Velutr
d
V.
e
tat
Co
st
u
ht
tu
M