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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 74r, page id 00068193:0149
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2
formali
Sert. M. Cap. 1. De Actione motus et Effectu.
per longitudirum oAt 2 A, et materia B ei aequalio (etiam unius
librae) translata per longitudinem oB3B, et men sura longitudi-
num communis sit pes, resoluta numirum longitudine oA 2 A
in pedes quotcunque verb gr. duos, oA 1 A, 1A2 A; et retolut â lon-
C
gitudine oB3B in pedes quotcunque ut tres, oBitd, 1B2B, 2333B;
s
BZ
et unusquisq pedum absolvatur eadem velocitate nempe tempore
aequali ipsi tempori F, velut tempore minuti, si placet. His
positis mensura Actionum formalium erit actio movendi ma-
teriam unius libre per longitudinum, pedis unius tempore mi-
pa
nuti (per def. 3. hic.) et ad transferendano libram A per duos
pedes, transfertur libra A per pedeno unum ost A tempore mi-
nati, et rursus transfertur libra A per pedem unum 1A2 A
tempore minuti. Itaque actio transferendi libram Aper oA2 A
duos pedes, continet mensuram actionis totres, quatues longi-
tudo eAt2 A continet pedem seu mensuram longitudinis, nempe
bis. Similiter actio transferendi libram B per oB3B; pedes tres
continet menturam actionis quotus longitudo oB3B continet
mensuram longitudnis sive pedem, nempo ter. Jam quantitates
sunt ut numeri posito mensuram etse unitatem (per deff. 1.)
es
= a.
Itaque quantitates actionum sunt ut quantitates longitudinum.
Idem est de quantitatibus effectuum, etiam si velocitates non
fuissent aequales (per def. 2. huc).. Quod si longitudines sint
incommensurabiles, possunt pro ipsis substitur commensura
biles ab ipris differentes minus differentia quavis data. Velu-
at
ti si mensure quantitas dita differentia tanto minor assu-
matur, ut error etiam prodeat minor errore quovis dato, id
est nullus.
ccopontio familiariter ita enuntiari ortendiuse potest:
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