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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 126v, page id 00068193:0254
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De Translatione s. Effectu Motus forno.
5
2E1E =1E1L. Jam 12 est aequal. 10 = + 9 -7 =. Ergo 1K 2 K
aequal 12, adeoque 1G2G aequal. 1k2K. Idem succedit n aliis
su
exemplis quibuscunqe. Et quidem si mobilo non sit aequalis
1C
c
ubique densitatis, non adhibendum est centrum voluminis, sed
molis; qua melius intelligentur adjunctis quae diximus ad prist
5. capitis de Impetu. Et quoniam longitudo translationis a
longitudine percursa non differt, nisi quod in illa aestimanda
es
et
qua
e
IA2
etiam denritatis in mobili ratio habetur, ideo longitudotrut libus
lationis etiam à me vocatur longitudo percursa eaaltata,
ut translatio ipsa est spatium eaaltatum.
Pgrop. 1.
rotibus aequidicributis aequalium molium tran
lationes sunt ut longitudmes percursae.
Smit (Fig.
 fe
iod et s
tibus aequidistritutis 1A3B et 1C +D; Ajo translationes seu
ag
effectus formales ette ut longitudines nt 2A3 A, et 12d
C2C3 C+C; mentura longitudinum communis, si commensu
rabiles sint, sit 162E, quam longitudo 1o2 A3 A contineat 1
placet bis, et 1C2C3C4C ter, et longitudinem 1E2E aequidi
stritute percurrat mobite Et aequale ipsis AB vel CD. Pam
per def. 1. Sio) potert translatio 122F accipi pro mensura
1
communi. Eaque toties continetur in translatione ut 3B vel
e
1C4 quoties longitudines continent mensuram, nempe in 1 A3)
bis, et m 1C4D ter. Ergo translationes sunt ut longitudines
si longitudines unt incommensurabiles, possunt pro ipris
atsumi commensurabiles su, ut error sit minor quovis du
fo. Atqe adeo error ett nullus.
).
pop. 2
In motibus aequidutributis aequalium longitudnum
per
C2
naor
one
pe
ess
142
IC2
Erit
et
-
Tunus
nem
gui
S
lonus
At
Arat