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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 132r, page id 00068193:0265
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2
rotra
Aum
ee mo
Syno
aptore
Nrit
lonie
e M
slato
grim
van
2M
et d
hibe
estat
da
c
set
rec
fua
f sdt
tangi
M
ra
De Franslatione s. Effecta motus form.
tum ett (7.) quantitas translationis seu quantitas effectus
formatis a motu; quod solidum etiam productur ducendo
molem Et in figuram 121G3G36, qua repraesentat factum
ex velocitatibus EG tempori EE ordinatim applicatio, hoc
est (6) longitudinem tranglationis seu longitudinem percur-
cam exattatam. Et cum endem longitudo translationis
etiam exhibeatur per rectangulum BCD factum ea ductu
temporis AEB in BC (4) velocitatem exattatam mediam
temporis seu intentionem motus mediam; hinc etdam solu
dum translationis seu quantitas efectus producitur duitu mo-
.
lis EF in ABCD factum ea ductu temporis AEB in veloci-
tatem exaltatam mediam BC, undo nascitur solidum rectan-
putum ABCPL, F3 F, imo idem solidum rectangulum seu et
umquantitas effertas fit duitu temporis AB in rectangulum
E DL1F
(5) impetum medium temporis exprimens, qui fit
l
=
exaltatam
ea mole Es in velocitatem mediam 12D ducta.
Si vero in eadem figura omnibus retentio lineis ductis
- i
intummodo et significet (1) volumen, remota scilicet con-
e
nderatione densitatis, ivc quod nulla sit n natura (si rem
ad rigorem philotophicum revocemus) sive quod ubique no
C
materis occurrat endemo densitas, ita ut molis et volumi-
mo notio concidat, tunc EG non hpnificabit velocitatem
mobilis exaltatam, seu inter omnium materiae signorum
sive quati punctorum pro variis denutatitus in eodem puncto
iptam nempo simplium seu absolute sic dictam inter pan-
torum mobilis velocitates mediam; et cessante denritate
coinudet velocitas mobilis cum intensione motus seu viyore,
et rectangulum EFGH non significabit factum ea velocita
C
te exattati EG m Et molem, sed (3) petum protractio-
nem
intl
itis d