Gassendi, Pierre, De motu impresso a motore translato epistulae duae, 1642

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1quædam angulo oppoſitæ, DE, FG, HI, KL, &
plures
, ſi velis; itemque diuiſa in totidem parteis
KL
, ducantur parallelæ DM, FN, HO; & EO,
GN
, IM: diſpeſcetur ſpatium in eos, quos vides
triangulos
, inter ſeſe omninò pareis.
Concipe iam
lineas
ab angulo incipientes repræſentare tempus ab
aliquo
puncto æquabiliter fluens, & parteis linearum
æqualeis
repræſentare æqualeis parteis, ſiue mo­
menta
temporis.
Concipe rurſùs interuallum vnifor­
miter
creſcens repræſentare velocitatem vniformi­
ter
increſcentem, & quos pareis triangulos vides,
totidem
gradus velocitatis, & conſequenter parteis
ſpatij
, quod graue decidens percurrit.
Tunc agnoſ­
ces
ſanè, cùm in primo momento ſit vnus gradus
impetus
, ſeu velocitatis, acquiri in ſecundo treis, in
tertio
quinque, in quarto ſeptem, qui progreſſus eſt
numerorum
ab vnitate imparium.
Et aliunde, ſi du­
cas
lineam, quæ diuiſa in ſexdecim parteis referat
orgyiarum
ſexdecim altitudinem; agnoſces cur gra­
ue
in fine primi momenti deſcenderit vnam orgyiam,
in
fine ſecundi quatuor, in fine tertij nouem, in fine
quarti
ſexdecim: quia nempe ita ſe habere aggre­
gando
intelliguntur memorati trianguli in fine
cuiuſque
repræſentati momenti.
Agnoſces quoque,
cur
idem graue ſurſùm projectum ſecundum ean­
dem
lineam tanto tempore aſcendat, quanto deſ­
cendit
, & velocitas motus eius eadem ratione aſcen­
dendo
decreſcat, qua deſcendendo increſcit Quia
ſi
ſupponas vim proiectricem indidiſſe illi ſeptem ve­
locitatis
gradus, vt ſunt ſeptem trianguli ad infi-

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