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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 186r, page id 00068193:0377
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eut
suit
N N
liguit
nunit
qua
6o
H, it
G,1
F paY
equal
1
21
e et
DA
Dt
Sect. V. Cap. 2. De Motus Directione etc.
erit et recta 1E2E rectae 1D2D aequalis; itaqe congruero pos-
sunt puncta 16, 26, ipsis. 18, 2D, et punctum quoque aliud quod
cunque ut A puncto respondenti G simul congruete poterit,
ad eoque linea lineae. 
Prop. 17.
Si puncta quoteunque moveantur nrectis parallelis
etiam centrum gravitatis eorum (nisi quiescat) movebitur
M2
i
ecta ipus parallela; et, si motus punitorum sit praterea
unitormis vel momnibus proportionaliter acceleratus autr
datus; tunc etiam motus centri gravitatis erit talis
Funitum A (Fig. 15.) feratur m recta AA, et punctum B
C
im recta BB priori parallela; Ajo et centrum gravitatis eo-
lad
rum Cferri in recta Cen eaque prioritus parallela.
Ut si eodem tempore respective sint A n 1A, 2A, 3A, et
il
S in 1323, 3B, et C in 1C, 2C, 3C, sitque AA A et BBB recta,
erit et CCC recta. Patet ea eo, quod recta CC parallela duabus
AA et BB secat quascunque rectas AB inter has duas interce
-
ptas, ut 1A1B, 2A 2B, 343 B in eadem ratione datu. Ducantun
enim per B parallelae inter se BE, hae utiue secantur a recta
a
CF in eadem ratione data in H; jam per leandem rectam es
secatur A
D
mC, ut AE in H; Ergo ut omnes BE secantur n
eadem ratione m F, ita et omnes AB. secantur in eadem ratione
mC. Jam centrum gravitatis C secat AB etiam m eadem rati
one, cadit ergo in rectam CC parallelam iptis AA et BB.
L
Quod s (Fig. 16. et 17.) puncta A et B moveantur motu
uniformi vel saltem proportionaliter erescente, seu sit 1A2 A
ad 1A3A, ut 1B2B ad 1B3B, tunc ductae rectae AB (ut 1A cd,
2A2
33
3o 31) concurrent in puncto G; ett igitur et 1C2C
s
ibi
gido
ne
n
mgu
tes
D
aMo
Cd
E
exit
161.