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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 118r, page id 00068193:0237
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DE A N31S ATE Mosvs
seu )MPEFV.
defin. 1. LVANF13AS MosrS seu Po DEr Vs es
facium ea velocitatibus in quantitatem materia seu mo-
lem ordinatim ductis.
Ut si (fig.) in mobili eandem ubiu quantitatem
materiae in volumine aequali seu denutatem conttantem
habente punctim cujusqi ut C velocitas sit ut CE, rectae
AB mobile repraesentanti ad angulos rectas applicata;
impetus, seu quantitas motus repraesentabitur per figuram
AED B, et quidem si ACB sit recta, et veloeitates sint ut
distantiae ab A, impetus ipsius AC erit ad impetum ipsius
AB, in duplieata ratione mobilium AC. AB, seu ut qua
c
dratum AC ad quadratum AB, nempe ut area ACE ad
aream ABD. Quod si mobilis diversa sit denutas m diver-
.p.
ns partibus, tota motus quantitas similiter collisetur.
Sit (Figs.
recta AS uniformiter mota errea cen-
trum immotum A punctis suis, ut C, D, describens ar
cas 1C2C, +B= B, velocitatibus punctorum proportionales, et
ponatur praeteres mobile ette gravius seu dennus versus B
n ratione dirtantiae ab A; repraesentabitur tota moles seu
quantitas materiae, per triangulum rectangulum As3F,
cnjus basi 8F parallela seu ordinatim applicata CG sit
ad basim est, ut denritas in C ad denuitatem in B. Tirt
jam aliud fr
malio plano ad prius recto, nempe triangulum ABD, or
e
dinatis suis CE repraesentans velocitates respondentes, seu
ut CE sit ad AD, ut velocitas il2C ad velocitatim 1B2 dS;
tunc