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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 134r, page id 00068193:0269
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De Translatione s. Effecta motus form.
EF velocitates EG quas durante tempore EE habuit, media
(
ossel est BC, talis nempo, quae ducta in tempus 1E3E seu As3
et
t so
facit rectangulum At Bed aequalo ipsi figurae 181G3G3E;
5
adeoque longitudo quam per curreret mobile et, conttanti ve-
locitate AD vel BC, quae est ut rectangulum ABCs, erit
C
aequalis longitudini quam percurreret ef variatis veloetta
tibus CG; et rectangulum 3FBC sub velocitate media BC
oa
et volumino mobilis EF contentum erit, ut impetus restri-
ctus medins seu medium ex omnibus tractus seu spafy ele
mentis, et hoc rectangulum protractionem mediam reprae
tentans duitum in tempus 183E seu AB, dabit rectangulum
folidum ABeDLF aequale ipri solido 181FrHG3G3H 3C
pro satium repraesentanti.
S.
hc in motu uniformiten
accelerato qcelocitas media, qua constanter motum mobile
eandem longitudinem percurreret, ett ultimae acquisitre
dimidia. Nam (Figs.
tempore existente AEB, velveo
tatibus eg, longitudines percuroae sunt ut triangula AEG;
et tota longitudo percursa ut triangulum AB
le est rectangulum ABe repraesentans longitudinem tem
pore AB conttante velocitate media M. N percursam.
Prop. 71.
elocitas media item impetus restrutus medius est
Medium arithmeticum inter omnes mobili intra tempus
pr
hositum competentes velocitates aut impetus rectrictos
tempore uniformiter crescente ordno assumtos.
Nam Velocitas (protractio) media duita in tempus (ab-
tolute) idem produut, quod omnes durante tempore existin-
tes mobilis velocitatis in tempas ordinatim ductae sper
def. 3. hic); Ergo est velocitas attoluta in tempore retut
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