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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 191r, page id 00068193:0387
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c
Sect. V. Cap. 2. De Motus directione M.
,adest apparent distinetius; contiderandum est, omnem motum concit
umo pro
An
bus Db
posse ut compositum ea parallelis ad datas rectas, duas quidem
n plano, tres autem in solido, ita ut composito exittente uni
formi et componentes uniformes etse possint; Et si quidem m
on po. pluribus motibus inter se collati secundu componentes paralle
nibus
deter
ter qua
e at
copus
Aro
Eut
=fIM
sertu
n el
bento
oble
Care
mom
motur
nitos
MMa
et
no
reri
et
los ad eandem rectam, discerni hypotheses non possunt, omnimo
discerni non posse, quia ipti motus por parallelos componentes
determinantur. Et quoniam jam ottendimus, si tria quae vis
pancta servant servant endem phaenomena, inter se servari
phaenomena omnia; superest tantum ut ostendamus in tribus
motibus uniformibus parallelis phaenomina discerni non posse.
Sint (Fig. 25.) trium punctorum A, B, C, motus par-
alleli AA, BB, CC, et in rectam. AAt ex punctis B, C, agantur
e
normales β, K; junganturque AB, Ac. Ajo quocunque motu
uniformi assignato ipsti puncto A, assignam etiam posse mo-
tus uniformes competentes punctis B et C, ut eadem phreno-
mena prodeant. Nam qui motus assignantur punetis (3 et
K, assignabuntur et punctis A et B; Jam manifertum ett,
utcunqe moveatur aut quiescat punctum A, tales motus uni-
formes assignari posse punctis β et K, in eadem rectâ posi-
tis, ut eadem prodeant celeritates respectivae seu distantia
X
momento eadem prodibunt magnitudines rectarum Aß, AK,
3K, ut pro uno momento 1A1B, 1AIK, 1BIK; et pro alio
momento 2A2B, 2A2K, 252K. Eadem ergo dato momenta
(quacunque facta hypothesi) dato momento prodeunte magni
fudine recta 2A2 (, et manente semper ob parallelismum
rectâ B2B, idem pradibit angulus 2B2 Auit, et iomiliter
etta
appo
angu