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

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            <p type="main">
              <s id="s.000715">
                <pb pagenum="73" xlink:href="028/01/113.jpg"/>
                <emph type="italics"/>
              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,
                <emph type="italics"/>
              & per
                <emph.end type="italics"/>
              HC;
                <lb/>
                <emph type="italics"/>
              quod multò difficilius eſſe arbitreris, quàm
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alileo videatur;
                <lb/>
              at cognitis, aut præſuppoſitis temporibus illis, facilè deinceps
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              totum tempus totius deſcenſus per quamcumque deſignatam
                <lb/>
              altitudinem determinari:
                <emph.end type="italics"/>
              id quod
                <emph type="italics"/>
              postmodum te ostenſu­
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              rum recipis.
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              </s>
              <s id="s.000716"> Tum ſupponens me exſpectare
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                <figure id="id.028.01.113.1.jpg" xlink:href="028/01/113/1.jpg" number="23"/>
                <lb/>
              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. </s>
              <s id="s.000717">Diuiſo enim
                <lb/>
              spatio
                <emph.end type="italics"/>
              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,
                <emph type="italics"/>
              &c. </s>
              <s id="s.000718">iam
                <lb/>
              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
                <emph.end type="italics"/>
                <lb/>
              CD
                <emph type="italics"/>
              dupla eſt partis
                <emph.end type="italics"/>
              NC,
                <emph type="italics"/>
              ita velocitas quoque per
                <lb/>
              totam
                <emph.end type="italics"/>
              CD
                <emph type="italics"/>
              dupla ſit velocitatis per totam
                <emph.end type="italics"/>
              NC.
                <emph type="italics"/>
              At
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              ſimili ratione etiam efficitur, velocitatem per totam
                <emph.end type="italics"/>
                <lb/>
              DF
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              duplam eſſe velocitatis eius, quæ habetur per
                <lb/>
              totam
                <emph.end type="italics"/>
              CD;
                <emph type="italics"/>
              ſicut tota
                <emph.end type="italics"/>
              DF
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              dupla eſt ipſius
                <emph.end type="italics"/>
              CD.
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              Æ
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              quali igitur tempore
                <emph.end type="italics"/>
              CD,
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              &
                <emph.end type="italics"/>
              DF
                <emph type="italics"/>
              decurruntur;
                <lb/>
              eademque omninò ratio eſt ipſarum
                <emph.end type="italics"/>
              DF,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              FK,
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                <emph type="italics"/>
              cæterarumque omnium ſe pariter in ratione dupla ſu
                <lb/>
              perantium; vt ſatis manifeſtum eſt.
                <emph.end type="italics"/>
              S
                <emph type="italics"/>
              patia igitur
                <lb/>
              æqualibus temporibus emenſa, & velocitates iiſdem
                <lb/>
              temporibus æqualibus acquiſitæ ſemper augentur in
                <lb/>
              continua ratione dupla.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000719">XL. Cæterùm, cùm iſte habeatur quaſi
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              prouentus quidam eximius totius tuæ Diſſertationis; </s>
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