Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <p id="N10846" type="main">
              <s id="N1084E">
                <pb xlink:href="026/01/017.jpg"/>
              impetus; </s>
              <s id="N10856">non tamen æqualibus temporibus, acquiruntur æqualia
                <lb/>
              velocitatis momenta; </s>
              <s id="N1085C">quia in ſingulis punctis quadrantis, eſt diuer­
                <lb/>
              ſa tangens; </s>
              <s id="N10862">igitur mutatur progreſſio accelerationis, quæ certè ma­
                <lb/>
              jor eſt initio, & ſub finem minor; quia initio tangentes acce­
                <lb/>
              dunt propriùs ad perpendiculum, & ſub finem ad horizonta
                <lb/>
              lem. </s>
            </p>
            <p id="N1086C" type="main">
              <s id="N1086E">9. Deſcendit etiam in ſuperficie conuexa globi erecti motu ac­
                <lb/>
              celerato; </s>
              <s id="N10874">initio quidem, in minore proportione; </s>
              <s id="N10878">ſub finem, in maio­
                <lb/>
              re; </s>
              <s id="N1087E">vnde eſt inuerſa prioris: </s>
              <s id="N10882">poteſt etiam deſcendere corpus graue
                <lb/>
              vſque ad centrum terræ motu accelerato, in ſuperficie conuexa ſe­
                <lb/>
              micirculi: </s>
              <s id="N1088A">ſi ſuperficies terræ eſſet læuigatiſſima, corpus proje­
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              ctum moueretur in ea motu æquabili, nec deſtrueretur impetus im­
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              preſſus, vt conſtat; </s>
              <s id="N10892">poteſt quoque deſcendere per ſpiralem: ſunt in­
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              finita plana curua, in quibus faciliùs moueri poteſt, quam in ho­
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              rizontali recta. </s>
            </p>
            <figure id="id.026.01.017.1.jpg" xlink:href="026/01/017/1.jpg" number="9"/>
            <p id="N1089F" type="main">
              <s id="N108A1">
                <emph type="center"/>
                <emph type="italics"/>
              De motu mixto ex rectis.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N108AC" type="main">
              <s id="N108AE">1. DAri motum mixtum ille non dubitat, qui diſcum proiicit. </s>
              <s id="N108B1">
                <lb/>
              Mixtus ex duobus rectis æquabilibus eſt rectus, eſt que
                <lb/>
              diagonalis vtriuſque: </s>
              <s id="N108B8">hinc deſtruitur aliquid impetus, iuxta pro­
                <lb/>
              portionem differentiæ diagonalis, & vtriuſque lateris ſimul ſump­
                <lb/>
              ti; </s>
              <s id="N108C0">quia, ſcilicet, eſt fruſtrà: </s>
              <s id="N108C4">quò maior eſt angulus, quem faciunt li­
                <lb/>
              neæ determinationum, minor eſt diagonalis; igitur plùs impetus
                <lb/>
              deſtruitur, donec tandem concurrant in oppoſitas lineas, tunc enim
                <lb/>
              totius impetus deſtruitur. </s>
            </p>
            <p id="N108CE" type="main">
              <s id="N108D0">2.
                <expan abbr="Quũ">Quum</expan>
              minor eſt, vel acutior prædictus angulus, minùs impetus
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              deſtruitur; </s>
              <s id="N108DA">quia diagonalis maior eſt; </s>
              <s id="N108DE">donec tandem conueniant in
                <lb/>
              eandem lineam, tunc enim nihil deſtruitur: </s>
              <s id="N108E4">datur de facto hic mo­
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              tus in rerum natura; </s>
              <s id="N108EA">talis eſt motus nauis à duobus ventis impreſ­
                <lb/>
              ſus; vel eiuſdem partis aëris; imò & ipſius venti: </s>
              <s id="N108F0">motus mixtus ex
                <lb/>
              duobus retardatis iuxta eandem progreſſionem eſt rectus; </s>
              <s id="N108F6">quia fit
                <lb/>
              per hypothenuſim triangulorum proportionalium: idem dico de
                <lb/>
              duobus acceleratis. </s>
            </p>
            <p id="N108FE" type="main">
              <s id="N10900">3. Si mixtus ſit ex æquali, & accelerato, vel ex duobus accelera­
                <lb/>
              tis in diuerſa progreſſione, vel ex duobus retardatis ſimiliter, fit per
                <lb/>
              lineam curuam, vt patet: </s>
              <s id="N10908">dum proiicitur corpus graue per horizon-</s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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