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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 141r, page id 00068193:0283
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Specimen Calculi Analyt. pro Phorometria.
tantundem tractus per propositum tempus efficer et, quantum
nunc velocitate variata, eam novam velocitatem mediam po-
terimus vocare (V)
(30) Et sict r = e (V) + = esat V = satsdev, ubi D signifi-
eat quamlibet velocitatem, quam quae vio mobilis particula ha
bet in quovis temporis elemento, adeoque velocitates numero m
finities infinitas; at (V) significat velocitatem inter infinitas
mediam, omnibus particularum mobilis velocitatibus coexisten
ibus aequivalentem; et proinde continet velocitates totius mobi-
ls infinitas pro infinitis temporis momentis; Cenigs (V) con-
tnet velocitatame unicam, niter varietate infinitas V. adeoque
inter infinities infinitas varietates v mediam, mobili attri
utam, aequivatentem reliquis omnibus et in qualibet mobilis
parte, et im quovis temporis momento variantibus.
31.) Exemplo melius res intelligetur: Sit (Fiu.
)recta
AB movenda in eodem plano circa centrum A; itaque veloeita
ted punctorum seu elementorum ipnus rectae Ass iul co
sentes sunt majores in proportione distantiarum a centro.
sonamus jam praeterea vertignis hujus velocitatem enescere
es
uniformiter à quiete, seu aqualibas per aequalia tempora mere-
Si 
mentis; unde mobili reprresentato per AB, velocitate puncti
alicujus B per BC; velocitates omnes simul eaictentes mobilis
S
elementis epective applicatae, exhibebuntur (Fiu. ) per tri-
angulum rectangulum ABC; fiat parallelogrammum rectanm
pC.
rum EA B hucc triangulo aequale, eritque AE velocitas mobilis
media. Pursus sit tempus BD angulo iB recto, et pyramis
ectangula DABC representabit omnes velocitates infinitus
tr
infinitas cujusque puncti in unoquoque instanti, et ut rectangulum
ABC
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