Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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cenſus non tantum per totam primam partem
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AC (in nu
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pero ſchemate)
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ſed etiam ſeorſum per
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AH,
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& per
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HC;
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quod multò difficilius eſſe arbitreris, quàm
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G
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alileo videatur;
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at cognitis, aut præſuppoſitis temporibus illis, facilè deinceps
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totum tempus totius deſcenſus per quamcumque deſignatam
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altitudinem determinari:
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id quod
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postmodum te ostenſu
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rum recipis.
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<
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diutiùs, quid ſis dicturus de
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Ratione, qua ſe ha
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bent ſpatia æquali tempore emenſa,
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ſic infis,
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Aio
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verò æqualibus temporibus ſpatia decurri maiora
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ſemper, ac maiora in Ratione dupla. </
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<
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spatio
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AB,
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per quod ſupponitur fieri deſcenſus, in
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parteis quotcumque æqualeis in
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C, D, E, F,
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&c. </
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<
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ostenſum est partem ſecundam
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CD,
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& primæ par
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tis dimidiam partem inferiorem
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NC
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æquali tempore
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percurri; & ob eam quidem cauſſam, quòd, vt pars
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CD
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dupla eſt partis
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NC,
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ita velocitas quoque per
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totam
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CD
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dupla ſit velocitatis per totam
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NC.
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At
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ſimili ratione etiam efficitur, velocitatem per totam
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DF
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duplam eſſe velocitatis eius, quæ habetur per
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totam
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CD;
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ſicut tota
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DF
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dupla eſt ipſius
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CD.
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Æ
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quali igitur tempore
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CD,
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&
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DF
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decurruntur;
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eademque omninò ratio eſt ipſarum
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DF,
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&
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FK,
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cæterarumque omnium ſe pariter in ratione dupla ſu
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perantium; vt ſatis manifeſtum eſt.
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S
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patia igitur
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æqualibus temporibus emenſa, & velocitates iiſdem
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temporibus æqualibus acquiſitæ ſemper augentur in
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continua ratione dupla.
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<
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">XL. Cæterùm, cùm iſte habeatur quaſi
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prouentus quidam eximius totius tuæ Diſſertationis; </
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