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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001195">
                <pb pagenum="151" xlink:href="028/01/191.jpg"/>
              10, dr. </s>
              <s id="s.001196">4; & ex triplo, ſiue ex altitudine diam etrorum
                <lb/>
              trium, eleuatione tripli, ſeu
                <expan abbr="vnciatũ">vnciatum</expan>
              15, dr. </s>
              <s id="s.001197">6, cùm tu ta­
                <lb/>
              men videas eleuari duplum, ſiue vncias 10, dr. </s>
              <s id="s.001198">4, non
                <lb/>
              ex ſpatio duplo, ſed ex triplo, ex quo eleuari oporteret
                <lb/>
              non duplum, ſed triplum, ſeuvncias 15, dr. </s>
              <s id="s.001199">6. Idipſum
                <lb/>
              dico de cæteris ad vſque altitudinem diam etrorum
                <lb/>
              nouem, ex qua attolli oporteret ponderis nonuplum,
                <lb/>
              ſeu vncias 47, dr. </s>
              <s id="s.001200">2, non, vt ais, quintuplum ſolùm, ſeu
                <lb/>
              vncias 26, dr. </s>
              <s id="s.001201">2. An placuit tibi progreſſus ille per nume­
                <lb/>
              ros impareis, vnum, tria, quinque, ſeptem, nouem, quo­
                <lb/>
              rum ſuntinter ſe interualla æqualia? </s>
              <s id="s.001202">Atqui oporteret
                <lb/>
              hoc caſu ex diametro vna nihil attolli ponderis, ac ſu­
                <lb/>
              peratis deinde duabus diametris, attolli pondus ſim­
                <lb/>
              plum, ſiue vncias 5, dr. </s>
              <s id="s.001203">2, & ſuperatis adhûc duabus du­
                <lb/>
              plum, & adhûc duabus triplum, &c: cùm tu velis ta­
                <lb/>
              men ex altitudine nulla, quaſi cyphra, ad altitudinem
                <lb/>
              vſque integræ diametri, quaſi vnius, attolli pondus ſim­
                <lb/>
              plum, ſeu vncias 5, dr. </s>
              <s id="s.001204">2, adeò proinde, vt ſi per ſpatia
                <lb/>
              æqualia
                <expan abbr="mẽſurata">menſurata</expan>
              diametris procedere velis, neceſſe ſit,
                <lb/>
              vt poſt primam diametrum, cui velocitatem attollen­
                <lb/>
              tem ſimplum attribuis, accipias ſecundam, cui attol­
                <lb/>
              lentem duplum attribuas, &c. </s>
              <s id="s.001205">Dicerem id fortè placuiſſe,
                <lb/>
              quòd exiſtimâris videri vtcumque congruere cum eo,
                <lb/>
              quod defendispoſteà, primum primæ partis dimidium,
                <lb/>
              quaſi pro nihilo haberi, ac numerandum motum dun­
                <lb/>
              taxat ab initio vſque ſecundi dimidii, & pergendum
                <lb/>
              per
                <expan abbr="ſecundã">ſecundam</expan>
              , tertiam, & cæteras parteis, quarum quæli­
                <lb/>
              bet duo dimidia contineat. </s>
              <s id="s.001206">Verum, vt taceam notum
                <lb/>
              eſſe, quàm parùm cohærenter id fieret, nihil eſt cur
                <lb/>
              tempus in coniectando teram, cùm etiam pigeat terere </s>
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          </chap>
        </body>
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