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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 92r, page id 00068193:0185
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103
DE FRACSU ser SBAS WPER MosYM
ABSdLVFD.
Def. 1. Sattesrs iesirs MoBiL IS YEL SASM AB so
LVSYM SIE PERNR SIM, est factum ex viis angulorum Mo-
1.Se
C
balis punctorum hmul descriptis, in mobile ordinatim ductis.
Ut si Fit) mobilis cujurm punctum ponatur gravi–
. e
titem speuficam accipire proportionatem viae; pondus tetius
.
l
mobilis erit ut suma omnium viarum n mobite ordinatum du
ctarum, hoc est, ut spatium, percursum seu traitus. Ita si
Fig.
)recta AB angulo ad 1B3B recto moveatur e Ut
1B in 3 A3B, sparium motu dimensum seu tractus est rectangu
lum 1A3B; et idem hoc loco est spatium mota depgnatum seu ve
stigium motus. Sed a rectangulum planum AB CD, intra rectas
1A 1D, 1BIC continuatas motum, transferatur ea 1A 1 B1CID
m 3 A3B3 C3D, vertigium motus seu via simpleae ett rectangu
luno planum 2A3C; Via autem plena seu tractus est faction
ex rectangulo AB eD ducto in rectam 1A3 A aequalem lnea
motus seuviae vel tractui eujuq puncti, (in punctis enim coinci-
dant semper via et tractus) hioc ett, ut rectangulum olidum
ACE, cujus baris est rectangulum planum ABCD, altitudo vero
(Fig. 1.
AB, aequalis ipsi 1A3 A vel etiam; parallelepipedum; nam ad tra-
. p. 1.l
etus quantitatem aertimandam, nihil interett, quo angulo appli-
eetur via puncti ad mobile; modo enim m omnibus tractibus m
ter se comparandis idem observetur angulus, eadem manet pro-
portio; paaettat tamen constanter ubi angulo recto. Quod si di-
versa motilis, puncta diverse magnitudinis lineas describant,
etiam tractus inveniri possunt; ut si (Fiu.
) radius LM