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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 171, page id 00068192:0171
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ratione composita vosuminum
AB ad C D et vehocitarum G Hl ad
LM et cemporum Tad P. Sint hon
gitudines percursae ab AB quidem
GR, a CD vero L. N, Spatia . A2B
81C 2D sunt in ratione composi-
carosuminum ABad CD& Lon
gitudinum GR ad L. N (per des. 2
cap. de spatio percurso). Sed Lon-
gitudines (per prop. b. hic) in
casu velocitatum conscantium
sunt in ratione composita tem
porum T ad P, P relocitatum GHL
ad L. M. ergo in casu resocitatum
constantium sunt in ratione con
posita voluminum temporum
relocitatum.
PrOp. 8.
In motu ulcunque acceseraio
conseruato aut recardato Longi-
tudines a mobisibus percursae
sunt ut facta ex relocitatibus
intempus ordinacim ductis.
Spatia percursa seutractus, in
ratione composita horumfac
corum, Et voLuminum.
83ACB; Longitudines 3C 4C3C5C
jam (per propositionem. G. cap. De
dunforni
resocitate aequidistributa) Longitudo hC 4. C est ad
nonquudinem ZCSC ut tempora
impensa Te, ad TP. Ergo eodem
y8t
modo erunt Longitudines 1C2C
(aequatis ipsi ZC AC) ad 1C3C
(ae quatem ipsi 3CSC) adeoque &
spatia, quippe ibidem vet aequa
Le volumine mobite sunt (per def. 3
cap. de spatio percurso) in ratione
Longitudinum idem que Y vicissim.
Locum hrabet, quia  dicca prop.5
Cap. citati conversam adjectam habet.
GS
LrOp. 6.
Si diuersa mobilia moreantur
unum quodque motu aequiveloce (seu
constantis relocitatis) Longitudi-
nes aequalibus temporibus per-
cursae erunt reLocitatibus impensis
proporcionales, inaequalibus per
cursae erunt in racione composita
temporum e refocitatum. Ouod si
aequalia sint mobilium rolumina
idem erit de spatiis quod de Longi-
tudinibus: et ricissim si talia Lo-
cum hrabeant, mobitia retinebunt suas
redocitates.