Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <p id="N108FE" type="main">
              <s id="N10908">
                <pb xlink:href="026/01/018.jpg"/>
              talem in medio libero eſt motus mixtus ex accelerato naturali, &
                <lb/>
              retardato violento: eſt enim acceleratus naturalis, cùm deorſum
                <lb/>
              deorſum tendat quaſi per gradus, ſeu diuerſa plana inclinata. </s>
            </p>
            <p id="N10914" type="main">
              <s id="N10916">4. Non tamen impetus acquiſitus in eo motu eſt eiuſdem perfe­
                <lb/>
              ctionis cum illo, qui acquireretur in perpendiculari eiuſdem longi­
                <lb/>
              tudinis; </s>
              <s id="N1091E">ſed tantùm eiuſdem altitudinis: </s>
              <s id="N10922">nam perinde creſcit ille
                <lb/>
              impetus, atque creſceret in diuerſis planis inclinaris: </s>
              <s id="N10928">impetus verò
                <lb/>
              violentus in hoc motu retardatur; </s>
              <s id="N1092E">tùm, quia, ſi maneret idem, maior
                <lb/>
              eſſet ictus ſub finem iactus, quod eſt ridiculum; nec eſt, quòd aliqui
                <lb/>
              dicant, ab aëre deſtrui, qui non minùs reſiſtit naturali, quàm vio­
                <lb/>
              lento. </s>
            </p>
            <p id="N10938" type="main">
              <s id="N1093A">5. Adde, quòd eſt duplex determinatio: </s>
              <s id="N1093E">igitur aliquid deſtrui de­
                <lb/>
              bet, non acquiſiti; igitur impreſſi: </s>
              <s id="N10944">deſtrui autem non dicitur acqui­
                <lb/>
              ſitus, quòd, ſcilicet, plùs de nouo accedat, quàm pereat; </s>
              <s id="N1094A">eſt enim ac­
                <lb/>
              celeratus: </s>
              <s id="N10950">adde, quòd non infligitur tantus ictus ſub finem; </s>
              <s id="N10954">igitur
                <lb/>
              deſtruitur aliquid impetus, non acquiſiti, eo modo, quo diximus; </s>
              <s id="N1095A">
                <lb/>
              igitur impreſſi: ita tamen ſenſim deſtruitur, vt pro æquabili per ali­
                <lb/>
              quod ſpatium quaſi haberi poſſit. </s>
            </p>
            <p id="N10961" type="main">
              <s id="N10963">6. Hinc mobile proiectum per horizontalem, ne primo quidem
                <lb/>
              inſtanti per horizontalem mouetur, alioqui non eſſet motus mix­
                <lb/>
              tus: </s>
              <s id="N1096B">tardiùs cadit mobile ita proiectum in planùm horizontale ſub­
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              iectum, quàm cum ſua ſponte, ex eadem altitudine deſcendit: </s>
              <s id="N10971">cuius
                <lb/>
              rei clariſſima eſt experientia: ratio eſt; </s>
              <s id="N10977">quia impetus acquiſitus in
                <lb/>
              hoc iactu non eſt eiuſdem perfectionis, cùm acquiſito in perpendi­
                <lb/>
              culo: </s>
              <s id="N1097F">cùm proiicitur mobile per inclinatam ſurſum, mouetur motu
                <lb/>
              mixto ex naturali æquabili, & violento retardato: patet prima pars; </s>
              <s id="N10985">
                <lb/>
              quia acceleratur tantùm naturalis deorſum, ſaltem in inclinata: </s>
              <s id="N1098A">ſe­
                <lb/>
              cunda pars etiam patet; quia ſub finem minor eſt ictus. </s>
            </p>
            <p id="N10990" type="main">
              <s id="N10992">7. Hinc linea motus eſt curua: </s>
              <s id="N10996">iuxta diuerſam progreſſionem de­
                <lb/>
              ſtruitur hic impetus impreſſus: </s>
              <s id="N1099C">tùm pro diuerſa inclinatione plani,
                <lb/>
              cuius etiam hîc habetur ratio; </s>
              <s id="N109A2">nam ſingulis inſtantibus mutatur: </s>
              <s id="N109A6">
                <lb/>
              tùm, quia modò plùs impetus eſt fruſtrà, modò minùs; </s>
              <s id="N109AB">plùs
                <lb/>
              certè, cùm linea determinationis impetus impreſſi facit obtu­
                <lb/>
              ſiorem: </s>
              <s id="N109B3">atqui initio eſt obtuſior; ſub finem verò aſcenſus acu­
                <lb/>
              tior. </s>
            </p>
            <p id="N109B9" type="main">
              <s id="N109BB">8. Aſcenſus proiecti per inclinatam diutiùs durat, quàm deſ­
                <lb/>
              cenſus, ratione eiuſdem plani horizontalis; </s>
              <s id="N109C1">quia, ſcilicet, aſ­
                <lb/>
              cenſus longior eſt, quàm deſcenſus: </s>
              <s id="N109C7">eſt autem longior; </s>
              <s id="N109CB">quia, vt
                <lb/>
              eſſet æqualis, nihil impetus impreſſi deberet deſtrui in aſcenſu </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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