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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 186v, page id 00068193:0378
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Sect. V. Cap. 2. De Motiis directione eto
ad 2C3C, ut 1A2 A ad 2A3 A, vel ut 1B2B ad 253F, ab tria
gula similia G1B2B, GuCrC, G1A2 A; itemqe similia G2.
S
G2C3C, G2. t3A. Porro quod de punctis duobus A, B, verum
MH, id verum ett de punctis quotcunque ut A; B, D; eodem argu
mento, si pro duobus A, B, centrum eorum commune C subti
fuatur, quod cum moveatur in linea rectâ ipsis lineis AA,
BB, parallela (ex demonstratis) et moventum praeteret puncta
C
.2
novum dm linea rectâ iptis parallela, utique centrum gravr
.1.
tatis commune punctorum c et  povebitur m linea recta iu
parallela, ideit centrum commune gravitatis punctorum A, i
et ita porno argumentum provucetur ad puncta quatcunque re
e
itas parallelas describentia. Etiamn quiescat centrum qual
tatis, quod fit cum utrinque contrarus punctorum motus comfocti
santur, tamen intelligsi potest centrum gravitatis moveri secu
dum leges proporitionis, motu licet ma scignabiti seu summe 
do. Unde generaliter verum est, punctis motis m rectis paralle
lis velocitatitus punctorum propontionalibus, etiam contrumq
vitatis su moveri.
Prop. 12
Si puncta quotcunque cujus cunque gravitatis moveantur
. M rectis parallelis, describetur a centro gravitatis commu
1V
recta, que duita in pondus aggregatum omnium punctoru
 aequatur summa ea vus rectis singulorum punctorum m 
rum punctorum pondera ductis, siquidem omnu puncta fet
dant m easdem partes; quod si aliquod tendat m partes con
 frarias, ejus via in pondus puncti ducta non addenda sed
henda ert. Et si viam puncti in pondus ductum vocemus 
:GReSsIM, tunc progretus ponderis integri secundum ce
ad
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