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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 67v, page id 00068193:0136
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Seit. I. Cap. 4. De Motu simul aequid. et unif.
vandouna
Prop. 17.
per cursa à mobilibus longitudo ex esse
censitur quae ab aliquo poncto est porcursa, et veloctas quae
ejusdem, puneti, et motus mobilium sunt uniformes; tunc
longitudines, percursae sunt in ratione composita temporum et
velocitatum.
Nam in punctio sunt tales (por praeced:) et hoc loco idem
-
etse intellisitur motus mobilis qui punctis perinde ac si motu
aequidittributo secundum hujus, puncti motum moveretur.
Ut (Fig. 29.) si sphaera AB, cujus centrum A provol
vatur super linea LM N, solet sphaerae attribui motus cen
tri A perinde ac si in punctum reducta per currerit lineam
A2A3 A (par allelam, ipsi LM N) vel per inde ac si motu aequi–
tione moveretur, quo caru etiam longi
fudo motus sphaerae eadem censerctur quae puncti in ea ut A,
per def. 3. Cap. praeced.) neglecta scilicet rotatione puncti B
Cycloidem quandam des cribentis.
Prop. 8.
In praeductis mobilibus (propositionis 6 vel 7) unifor
miter motis velocitates sunt in ratione compositâ ea longitu
rum dinum directa et temporum reciproca
e a
in figura propontionis b. hicssive Fig. 28) ajo ette ve
C
locitates L ad V in ratione composita ea ratione longitu
dinum 1B3
JE nversa, seu esse Lad V in ratione composita ea 1B3C
ad 1A2 A et TE ad M6.
pa
Eit enim (per prop. 6. suc) 1833
ad A2 A et mratione composita ex L ad V, et  M  ad FE;
Ego
hercursa
s
M
fut
t
pa
m
rer
e
A
nu
0)