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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 63r, page id 00068193:0127
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cita
ndme
bile
B, sed
e dati
C13C
ado
Sint
quale
etur
ite
relo-
M
mma
iai
tit.
de do
mota
es vi
d con
ecto-
am
Arc
fore
etum
iptiis
Sert. 11. Cap. 3. De Velocitate in Motu et.
iptius AB, et quadlibit punctum iprius AB aequales tempore
es
quovis F lincas describit. id est (per def. 1.) CD motum habet
aequaliter distributum.
Prop. 2.
Quae msunt mobili motum habenti aequidistribatum,
eorum velocitates simul caistentes sunt aequales; et vicistim,
si eorum quae mobili mtunt velocitates simut eaistentes ant
aequales, motus est aequaltor distributus (scu aequidutributus)
sit (Fig. 21.) Mobile AB, cujus motus aequidistribatus;
s
et sint in mobili duo quaecunqe ut CD et Et; Ago corum velo-
Od-
citates eairtentes eodim instanti F, ette aequales. Ponatur m-
bile motu aequidutributo latum, eundem aequivclociter continu–
are per tempus T5, eoque timpore transferri ea 1A1B m2A2B,
51.
et punita C et E lineas describere 1C2C, 1Ent; jam quia AB
movetur motu aequaliter distributo, etiam CD et E Si moventur
unum quodque motu aequaliter distributo (per prop. 1.) Ergo (per def. 2)
1.
d
s
velocitas ipsius CD est ad velocitatem ipnus EF, ut iC2C adiErt;
Sed, C2C et 1E2E sunt linea aequales, (per def. J.) ergo et aeloci-
-- 5
tat ipiius CD velocitati iptrus eti aequalis ett. Vicittim, sive-
D
locitates iptorum CD et Et sunt equales, erunt et linea iliC
et 1E2E aequales (per def. 2.) quod cum de quiburvis ipmus mo-
bilis AB punctis dici possit, utique (per def. 1.) motus eut aequi
distribatus (scu aequaliter distributus.)
Prop. 3.
Aiqualis ett Velocitas mobilis et puncti m eo sumti,
si motus mobilis sit aequidistributus.
Nam (Figs 22.) et punctum. C, et iptum mobile AB, mo-
bili AB intunt. Ergo (per prop. 2.) aequalis et t eorum velocitas.
(per defin. 1. hic), ergo et quodlibet vunctum ipsivo cD, aqualet Erp.
tempore quovis s lincar descibit;