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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 99r, page id 00068193:0199
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De Velocitate m universum.
moveantur, velocitatibus suis V et E retentis; et percurrant
C
spatia 1A2B, 1L2 M; Ajo ette gatia, 1A2 1d ad 1L2 M, mra
C
tione composita voluminum, AB ad LM, et velocitatum. V ad E.
sint longitudines percursae 1C2C, 1N2M: contrat (per defin2
cap. de tractu) etse spatia 1A2d ad 1L2 M, in ratione compo-
sita voluminum AB ad LM, et longitudinum per cursarum
IC2 C ad sN2N; sed longitudines percursae in motibus aequive
loci
as aequalium temporum sunt ut velocitates (per prop. tsic)
Prop. 5.
motu esutdem mobilis aequiveloce vel duorumo mobilo
s
um volumina aequalia et constantes velocitates habentium
longitudines percursae, itemque spatia percursa sunt ut tem
pora impensa, et vicissim si talia sint, velocitas ett con
ans seu motus aquivetor.
Mobile AB
fig.) mota ae quiveloce, tempore TE
percurrat longitudinem IC2C, et spatium 1A2B; et idem seu
aequale tempore J P longitudinum LBC, spatiumue 1A38
d
es c
Ao ete 1C2C ad IC3C vel 1A2B ad 1A3B, ut 5E ads s
C
sint motus aequidistributi ejurdem vel aequalis volumine mo-
bilis, ejurdemu; cum prioritus velocitatis, ac proinde (per prop.
dp.
3. hic) ant hi motus percursis intra aequalia respective
p
tempora longitudinibus et spatiis aequales, adeoque (per prop.
e.
a
3. cap. de veloatate uniformi et aequidistributa uniformet,
a
quorum spatia 3A 4 B, et 3A5 B; longitudines 3(4C, 5C5C.
Jam (per prop. 5. cap. de veloc. aequidistr. et unit.) longitudo 3C4C
ec
est ad longitudinem 3CSC, ut tempora impenta 3badS s
ln
Ergo eodem modo erunt et longitudines 1C2C (aequalis ipti 3tC)
ave
e
aat
CM.
es,
lio
2A.
eobo
3A
M
Cn
e
lum
A,
de
uto
L
es