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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 62v, page id 00068193:0126
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Sect. I1. Cap. 3. De Veloeitate in Motu et
Si mobile durante motu. 11 B3A3B retinet eandem velocita
tem, hoc ipto motuatemur, ut sequitur. Si non netinet eandem
velocitatem, fingamus eandim velocitatem retinere, seu mobile
AB. ex 11E porro propredi, non mota proposito 1A1B3A3B, sed
C
alio aequiveloces et aequiditributo 1 A B13A 13B, et tempore data
magnitadinis puncto aliquo suo C percurrore rectam 1C12C13C;
hanc posumus sumere pro mensura velocitatis, ita ut longitudo
sujus linea repraesentet velocitatem V, hoc est, ut velocitates sint
hujusmodi rectis proportionales. Quorum diversa puncta maequales
simul lineas describunt, ut fit verbi gr. eum corpus movetur
pa 15
circa suum auem; de sus subitari potett, an aliquam habe
ant certam velocitatem; possumus tamen et tali corpori velo-
atatom quandam ascribere mediam, qua si ponatur motum
mobile motu uniformiter
C.
podeat secundum certum aertimandi modum.
Def. 3. LoNGIsroO Mors AQVA DIS
si est longitudo lineae quam aliquod motilis punctum describit.
Ut 1C2C3C
+
C
(FIg. 19.) est longitudo lineae motus aequaliten dis
L1. ~
tubuti 1A1B3A3B. Interim; si linea quaedam mdveretur mota
inaequaliter distrituto, ita ut diversa puncta simul imaequales vi
as deseribant, poterit etiam longitudo quaedem totius motus con
cipi, quae ut media cirto modo inter omnes singulorum puncto–
rum vias, ita ut idem n suma prodeat.
C
-
PMop. 1.
vicquid est in mobili, motum aequaliter distributum
habente, id iptum motu aequaliter distributo movetur.
sit (Fig. 20.) AB eujus motus 1AeB2 A2B aequaliter distri-
batus et in ipto AB sit CD; Ajo et hujus motum Cre fore
aequaliter distiburum. Nam quod libet punctum iptius CD est punctum
iptius
6
S
qui
eq
st
Cq
bile
B
2