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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 151, page id 00068191:0151
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DEVELOCITATE IN MOTVVIIEORM
A VNIFOR M1
Ebefeecum
pesp. 1.
in ematie unisorgu vetolitas
usteut tuea motus
def. 2
Moto
in Mai
VEFOCITAS est afsectio mailis
in motu positi
s
praepe quae lineae em motus
continuatione uniformi intra datae
magnitudinis describendae propor=
qu proportionalis  lineae motus
quae describenda esset, si ille per datae
magnitudinis tempus uniformiter
continuaretur.
prop. 1.
Sid quactane moncatare motu uniformi
in motuunisormi si mobilium mots aniformiter
esi auorum mobiliam aequales sint continuaturo aequales futura essent
aequalibus temporibus lineae motis, jan nunc descripta lb uno descriptae ab altero
velocitates sunt aequales; et vicissim
sit mobile A  ejusque veloci-
tas talis, ut si uniformiter continuaret
motam, tempore aequali ipsi T descripturui
esset lineam L  et aliud
sit mobile B ejusque velocitas talis ut
si uniformirer continuaret motum
tempore aequali ipsi  descripturum
eet lineam M. CCajui velocitat
aqualem ipsi L. ajo velocitates A
et B esse aequales. Nam (per def. 72)
velocirates sunt ut lineae L et M,
similitur si velocitates ut aequales erunt lineae Let M aequales
quae sunt
prop. 2.
Rebilium aenifotmeterentotorum
quo si mobilium unum quodque uniformiter
uniformi motu moveatur et aequalibus
temporibus aequales sint linea motus descripta ab uno
descriptae ab altero, etiam velocitates sunt
aequales. Et vicissim.
. 1.
EINEA MoTus est via
eti gravitatis quam durante
motu describit mobilis centrum
gravitatis.
I conferatur def. 3. de Tractu,
cum propositioibus aliquot
sequentibus rari autem tale
punctum in omni mobili, et
viam ejus lliciceus in
mobile ductam semper spatium
a  a mobili absolitum
produori,  ostenditur
peculiari capite de centro
gravitatis
C.