Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <p id="N106E5" type="main">
              <s id="N10706">
                <pb xlink:href="026/01/015.jpg"/>
              quòd ſpatium motu æquabili decurſum reſpondet rectangulo; </s>
              <s id="N1070E">de­
                <lb/>
              curſum verò motu retardato, reſpondet triangulo, ſubduplo rectan­
                <lb/>
              guli: aſſumpto ſcilicet, æquali tempore. </s>
            </p>
            <p id="N10716" type="main">
              <s id="N10718">9. Vites potentiæ proiicientis toto niſu reſpondent velocitati
                <lb/>
              acquiſitæ in toto deſcenſu corporis proiecti;
                <expan abbr="tantũdem">tantundem</expan>
              enim
                <lb/>
              impetus in deſcenſu acquiritur, quantùm in aſcenſu deperditur. </s>
              <s id="N10724">
                <lb/>
              Impetus primo inſtanti, quo eſt, agit, ſi eſt aliquod impedimen­
                <lb/>
              tum; </s>
              <s id="N1072B">eſt enim cauſa neceſſaria: </s>
              <s id="N1072F">primo inſtanti motus aliquid im­
                <lb/>
              petus deſtruitur: </s>
              <s id="N10735">ſiue præceſſerit motus violentus, ſiue non præceſ­
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              ſerit, corpus graue æquali motu deorſum cadit: </s>
              <s id="N1073B">reſiſtentia aëris eſt
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              quidem maior initio; ſed etiam ſunt maiores vires. </s>
            </p>
            <figure id="id.026.01.015.1.jpg" xlink:href="026/01/015/1.jpg" number="8"/>
            <p id="N10746" type="main">
              <s id="N10748">
                <emph type="center"/>
                <emph type="italics"/>
              De motu in planis inclinatis.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N10753" type="main">
              <s id="N10755">1. PLanum inclinatum eſt ſurſum, vel deorſum: </s>
              <s id="N10759">in hoc deſcen­
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              dit corpus graue, niſi fortè retineatur ab aſperitate, vel pro­
                <lb/>
              pria, vel ipſius plani: </s>
              <s id="N10761">impeditur autem motus naturalis in plano
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              prædicto, quia impeditur eius linea: </s>
              <s id="N10767">ideò eſt tardior hic motus in
                <lb/>
              plano inclinato, quàm in perpendiculari: </s>
              <s id="N1076D">in ea porrò proportione
                <lb/>
              eſt tardior, in qua perpendiculum eſt minus linea inclinata, eiuſdem
                <lb/>
              ſcilicet, altitudinis; </s>
              <s id="N10775">quippe eò tardior eſt, quò magis impeditur, &
                <lb/>
              magis impeditur, quò maius ſpatium decurrendum eſt, ad acqui­
                <lb/>
              rendam eandem altitudinem: igitur eadem eſt proportio impe­
                <lb/>
              dimenti, quæ ſpatij, &c. </s>
            </p>
            <p id="N1077F" type="main">
              <s id="N10781">2. Hinc motus ſunt vt lineæ permutando: </s>
              <s id="N10785">hinc mobile deſcendit
                <lb/>
              per ſe in prædicto plano: </s>
              <s id="N1078B">licet enim motus impediatur, non tamen
                <lb/>
                <expan abbr="tous">totus</expan>
              , impetus, qui acquiritur in eodem plano eſt imperfectior ac­
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              quiſito in perpendiculari in eadem proportione; </s>
              <s id="N10796">nam impetus ſunt
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              vt motus: </s>
              <s id="N1079C">hinc poteſt perfectio impetus imminui in infinitum, cùm
                <lb/>
              poſſit eſſe in infinitum linea magis, ac magis inclinata: igitur mo­
                <lb/>
              tum imminui poſſe in infinitum, non tantùm ex vecte, ſed etiam
                <lb/>
              ex planis inclinatis haberi poteſt. </s>
            </p>
            <p id="N107A6" type="main">
              <s id="N107A8">3. Hinc producit impetum imperfectiorem impetus acquiſitus
                <lb/>
              in hoc eodem plano, quàm acquiſitus in perpendiculari, æqualibus
                <lb/>
              ſcilicet temporibus, quia cauſa imperfectior imperfectiorem pro­
                <lb/>
              ducit effectum: </s>
              <s id="N107B2">motus in plano inclinato deorſum eſt acceleratus
                <lb/>
              iuxta eandem proportionem, iuxta quam acceleratur in perpendi-</s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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