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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 39r, page id 00068124:0077
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Duoq mobilih, aequalium, idem spatium motu uniformi
percurrentium, actiones esse ut velocitates, seu
ee
ecrproce ut tempora.
Hoc ut demonstretur
d
tot sin Colu Casum, qui ad incomparabilter
Hypothesin
hema (ivec
parva redactus desinit tandem in casum hujus propositionis.
asumam ti
ostendamque in illa Hypothesi Actiones esse ut velocitatet
sunto Esto totum AB compositum ex duabus partibus A et B
mobile
seu minuta,
tempus autem sit divisum in partes aequales , 13,24, 34)5,
e
to
 orer
Of1L, 112L, 212L etc. Tenu minuto  r
l
transferatur A ex e A in 2A per patium et 2L, teo pars B quidscat in loco
equales
1
1
parte quiescat in loco 1B vel B
minuto vera 23 transferatur B ex CB in 3B e
23,  pars A quiescat in 2A3A, et pars B transferatur ex 2BB vel 2B in 3B per dictum intervallum oL 1L
16 transferatur ex  A in 2A per intervallum DLIL. Minuto vero
un 3B. Rursus minuto 34 pars B quiescat in 3B4B, et pars A transferatur
ava
sed
ex 2A vel 3A in 4Avel SA. Minuto vero 45 pars A quiescat in 4Avel SA
et pars B transferatur ex ZB vel +B in 5B vel SB, Et ita porro,
alternand semper quietem et motum inter partes A et B,
sit vero mobile C, equale duobus A et B simul, quod quod totum
moveatur continue eadem celeritate qua moventur A et B
tunc cum moventur. Patet mo celeritatem ipsias C duplam esse
cileritatis ipsius AB, nam cum AB pervenit in 3A3B,  quod fit momento 3,
alt
+per intervallum 1L2C.
per idem intervallum 1L2L
quod spatium duplum est ipsus absoluto spationest olit
Re
itunque C pervenit) in j2.L
uod duplum est spatis otati Quod s jam intervalla temporis
pervenis
prcio e d
BAL
1BL AB
et
oE
2d 5et 64
L
5L
il
id est in , absoluto
oL 1t