Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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Et conſequenter, vt pergas probate tempus per
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quartam partem EF æquale eſſe tempori per
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KC quadrantem primæ,
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Similiter,
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inquis,
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di
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uiſa bifariàm
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CD
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in
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O,
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ſumptoque quadr inte
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DP
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æquali ipſi
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KC,
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tota
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AE
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diuiſa erit in par
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teis quatuor æqualeis
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AK KO, OP, PE;
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ideó
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que velocitas in
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E
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erit quadrupla velocitatis in
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K,
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vt
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tota
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AE
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quadrupla eſt ipſius
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AK.
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At velocitas
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quoque in
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F
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ob eandem rationem quadrupla etiam eſt
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velocitatis in
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C;
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velocitas igitur per totam
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EF
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quadrupla eſt velocitatis per totam
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KC,
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ſicut tota
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EF
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quadrupla eſt ipſius
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KC.
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Percurrentur igitur
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KC,
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&
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EF
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æquali tempore.
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<
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Ea
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dem autem etiam ratio eſt cæterarum omnium par
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tium, vt facilè quilibet ex iſtis per ſe intelliget.
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<
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cludis,
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Si ſpatium igitur, per quod corpus quodcum
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que graue deſcendit, ea, qua dictum eſt, ratione diui
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ſum intelligatur, ſingulæ partes huiuſmodi æquales tanto
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præcisè tempore à corpore graui deſcendente percur
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rentur, quantò partes ipſis analogæ ac reſpondentes
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in ſuprema parte
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(aut inferiore eius dimidio)
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deſi
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gnatæ ab eodem corpore graui decurſæ fuerint, vt est
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propoſitum.
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<
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claras te adſcripſiſſe fini cuiuſque ſex partium
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numerum integrum, incipiendo ab vnitate,
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ad deſignandum velocitatis gradus illeic acquiſitos, &
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ex æquo factos cum decurſis partibus; adſcripſiſſe au
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tem mediis interuallis ſecundæ, & ſequentium partium
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fractos numeros, ad deſignandum tempora, ſiue fra
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ctiones temporis primi, quibus vnumquodque ſpa-</
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