Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/080.jpg"/>
              habebit rationem duplicatam ſuæ longitudinis ad datum tri­
                <lb/>
              anguli latus, quod gravitati, VG unius libræ, ſit æquale. </s>
              <s>Vt
                <lb/>
              ſi promoviſſe dicatur eo lapſu prius quidem ad digitos 4. </s>
              <s>In­
                <lb/>
              de ad paſſus 3: habebit impulſus hoc intervallo collectus ad
                <lb/>
              illum rationem, quam 1804. ad 1. </s>
              <s>At verò ſi pila deſcen­
                <lb/>
              dat ad totidem paſſus; minùs offendit, quàm ſi eadem ex illâ
                <lb/>
              diſtantiâ proijciatur. </s>
              <s>Eſt autem impulſus ab arcu, ſeu fundâ
                <lb/>
              his muitò vehementior: ut nihil dicam de Cylindro bellico. </s>
              <lb/>
              <s>Deinde dico ab huius modi Iobolis nonignorari hanc motûs
                <lb/>
              curvitatem: unde etiam rationem habent diſtantiæ. aliter e­
                <lb/>
              nim ex magno, aliter ex parvo intervallo ictum dirigunt:
                <expan abbr="neq;">neque</expan>
                <lb/>
              ſolùm intervalli, ſed etiam ictûs vehementiæ modum expen­
                <lb/>
              dunt. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Dices quamobrem alij alijs feticiùs ſcopum aſſequuntur: tamctſi ijs­
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              dem inſtrumentis uſi, eadem〈que〉 collineatione factâ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Reſpondeo id ex diverſo pupillæ ſitu provenire. accidit e­
                <lb/>
              nim his, quemadmodum ſi quis digito preſſam loco moveat:
                <lb/>
              tum ſiquidem alius rei,
                <expan abbr="atq;">atque</expan>
              imaginis locus. unde cùm ictum
                <lb/>
              dirigant ad locum viſum, quid mirum à loco verò aberrare. </s>
              <lb/>
              <s>Ita quidem in motu proiectorum; quæ lineam ſequuntur ex
                <lb/>
              angulo recto, aut recto maiore. </s>
              <s>Quòd ſi cum motu vertica­
                <lb/>
              li angulum
                <expan abbr="contineãt">contineant</expan>
              minorem recto; quia tum mobile fit pro­
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              pius centro, videbitur hic gravitas capere augmentum eo la­
                <lb/>
              pſu: quod ſimilis videatur motui inclinato; in quo velocitas
                <lb/>
              continnò augetur, Dico nihilominus eandem eſſe
                <expan abbr="vtro-biq;">vtro­
                  <lb/>
                bique</expan>
              rationem. </s>
              <s>Alia autem eſt ratio motûs inclinati. propterea
                <lb/>
              quòd pars gravitatis maneat extra hypomochlium: ac proin
                <lb/>
              de impulſum producat ſibi æqualem: qui in deſcenſu </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>