Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

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1dimidia pars, & tertia, & quarta, ac deinceps cæteræ, inci­
piendo diuiſiones iſtas omneis ab infimo eiuſdem primæ par­
tis puncto, donec totidem deſignatæ ſint, quot in reliquo ſpatio
partes æquales acceptæ fuerint: tum ſingulæ partes huiuſmo­
di æquales tanto præcisè tempore à corpore graui
20[Figure 20]
deſcendente percurrantur, quanto partes ipſis analo­
gæ, ac respondentes in ſuprema parte (ſeu infe­
riore eius dimidio) ab eodem corpore graui de­
curſæ fuerint.
Rem conſequenter ita declaras;
Sit ſpatium AB (in ſchemate hoc) per quod
corpus graue deſcendat, in parteis exempli gratiâ
ſex æqualeis diuiſum in C, D, E, F, & G: primæ­
que, ac ſupremæ partis AC, ex infimo eius pun­
cto C deſignetur primùm media pars CH, dein­
de tertia CI, & quarta CK, itemque quinta, &
ſexta CL, & CM. Dico corpus graue deſcen­
dens per AB tanto præcisè tempore pertranſire ſe­
cundam partem CD, quanto dimidiam primæ par­
tis HC, antè pertranſiuit; & ſimiliter pari, atque
æquali tempore partem DE, quæ ordine tertia est,
& tertiam primę partis, nempe IC ab eodem cor­
pore deſcendente tranſcurri, & ita de cęteris.
Tunc
autem pergis. Et quidem de ſecunda parte CD,
eam non longiore tempore decurri, quàm quo primę
partis posterior dimidia pars tranſiniſſa fuerit, iam
paulò antè oſtenſum est, nec maiore negotio idem
de cęteris quoque partibus concludetur.
Sumpto
enim CN, &c.
XXXV. Verùm priuſquàm gradus ad
cæteras fiat, conſiſtendum eſt in hac prima; cùm

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