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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 66v, page id 00068193:0134
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Seit. 11. Cap. 4. Do Mota simul aequid. et unif.
Quod si denique sumto quocunque tempore motus ipius A, ut JM,
a C
et ipius C, ut 85, sint longitudines ut tempora; erunt veloc
tates mobilium A et C aequales semper sibi et inter se; sibis
quidem, ut ortendimus ob motum unifornim; inter se vero
nam si temporibus JM et PS per currantur longitudines 1A2 A,
l
et 2CDC, situ amper 1 2A ad 2C3C, ut SM ad PS; itai ii
O
e
tempora SM, Is sint aequalia, crunt et longitudines 1A 2 A et
2C3C aquales. Sed temporibus aequalibus velocitates sunt ut lon
par5
gitudines (per prop. 4. hic). Ergo iptorum A et C velocitates sun
aequales.
Nempo si AB et CD moveantur mo-
tibus uniformibus et aequidistributis, et sint velacitates eorum
aequales, sitque Es tempus motui impensum a CD multiplum
e
impet
si a mobili AB; erit IC3C longitudo a CD percursa simili
ter aequimultipla (ut dupla, tripla, setquialtera) ipsius 1t 3A long
tudinis ab AB percursae.
Prop. 6.
e motibus uniformibus punctorum vel aequidis tri–
s
bute motorum, longitudines percursae sunt m ratione compo
sit p temporum et velocitatum.
s
Sint (frg. 28.) Mobilia uniformiter et aequidistribute mu
ta A et B, et A percurrat tempore FE velocitate Y longi
fudinim 1A2 A, similiterB tempore MS vel MP, relocitati
L, longitudirum 1B2
v BB in ratione composita V ad L et SE ad MB, vel 1A2
ad 183B in ratione composita V ad L et SE ad MP. Nam st
dem
im
13
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