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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 62r, page id 00068193:0125
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ter m
icun
Mori
eibur
ifor
et a
Mrep
 Mo
hant
de
prio.
sed
ribat
res
II.
les
is
a
impo-
ni
ormis
ja
Sert. 11. Cap. 3. De Delocitate in Motu eto
s
n qta aquandus temporibus DE, Et, spatia describuntur
7
naequalia, 2. AdA et dA4 A; idemque ett in Sd; L. E. propositum.
CAP. III.
ECLOCISASE IX MosY AE QVIDISFLIBVTO.
Ai
Vo
Sef. 1. MMoSV AQALIFER DISSR 1BVYO MovE-
e
suae, cujus punctum lineam describit linea à quovis ejusdem
mobilis puncto eodem tempore descriptae aequalem. Diamus
C
et rM AE, QViDISF NBVTVM.
Veluti si
Fig. 18.) Mobile ABCD transferatur ex loco
1B1C1D per 2A2B2C2D in 3 A3B3C3D, et punetum ejus D
describat lineam 2B2B3B; tunc. si motus sit aqualiter dictri-
batus, aliudque ejusdem mobilis punctum quodcunque C describat
lineam 1CL C3C, aequales erunt linea 1B2B3B, et 1C2C3C.
Et vicissim si aequales reperientur panitorum mobilis quorum cunque
linee eodem tempore descripta, motus erit aequaliter disrri-
butus.
Def. 2. DELociTAS IX MosY AE QVALITEK DIS-
3.
S1BYTO est affectio mobilis quae proportionalis ett linea
quam describeret punctum mobilis, si motus per datae magni-
mahnis tempus hac endem mobilis affectione retenta conti-
s
nuaretur. Eadem autem manet, si idem punitum aqualibus
temporibus aequalia describat spatia
sit (frg. 19.) mobile AB, cujus motus 1A1B3 3 A383 sit
in
aequidistributus, ita ut lineae 1A2A3A, et 1C2 C 3C a duobus, pun-
etis quibus canqu mobilis A et C deseripta eodem tempore s sint
pepa
inter se aequales. Et velocitas mobilis AB dum transit per lo-
eu vertigium) 1ArB sit V. Hanc ita actimabimus:
= formolis, seu ex solo molu in existens.
cum