Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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dimidia pars, & tertia, & quarta, ac deinceps cæteræ, inci
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piendo diuiſiones iſtas omneis ab infimo eiuſdem primæ par
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tis puncto, donec totidem deſignatæ ſint, quot in reliquo ſpatio
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partes æquales acceptæ fuerint: tum ſingulæ partes huiuſmo
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di æquales tanto præcisè tempore à corpore graui
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deſcendente percurrantur, quanto partes ipſis analo
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gæ, ac respondentes in ſuprema parte
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(ſeu infe
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riore eius dimidio)
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ab eodem corpore graui de
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curſæ fuerint.
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<
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S
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it ſpatium
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AB (in ſchemate hoc)
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per quod
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corpus graue deſcendat, in parteis exempli gratiâ
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ſex æqualeis diuiſum in
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C, D, E, F, & G:
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primæ
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que, ac ſupremæ partis
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AC,
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ex infimo eius pun
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cto
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C
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deſignetur primùm media pars
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CH,
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dein
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de tertia
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CI,
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& quarta
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CK,
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itemque quinta, &
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ſexta
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CL,
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&
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CM.
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Dico corpus graue deſcen
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dens per
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AB
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tanto præcisè tempore pertranſire ſe
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cundam partem
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CD,
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quanto dimidiam primæ par
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tis
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HC,
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antè pertranſiuit; & ſimiliter pari, atque
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æquali tempore partem
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DE,
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quæ ordine tertia est,
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& tertiam primę partis, nempe
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IC
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ab eodem cor
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pore deſcendente tranſcurri, & ita de cęteris.
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<
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autem pergis.
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Et quidem de ſecunda parte
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CD,
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eam non longiore tempore decurri, quàm quo primę
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partis posterior dimidia pars tranſiniſſa fuerit, iam
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paulò antè oſtenſum est, nec maiore negotio idem
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de cęteris quoque partibus concludetur. </
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enim
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CN,
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&c.
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<
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cæteras fiat, conſiſtendum eſt in hac prima; cùm </
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