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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/095.jpg"/>
              liquâ morulâ producitur. </s>
              <s>Vnde fit ut partes priùs
                <expan abbr="magisq;">magisque</expan>
                <lb/>
              percuſſæ, priuſquam æquatio fiat à centro gravitatis, præcur­
                <lb/>
              rere feſtinent: aliæ ſequi non valentes mutuâ diſtractione à ſe
                <lb/>
              divellantur. cùm nimirum maior eſt vis ad movendum, quàm
                <lb/>
              illa quies & retentio partium unitiva. </s>
              <s>Frangi enim contingit
                <lb/>
              illâ parte, quâ impetus magis urget, aut unio minùs reſiſtit:
                <lb/>
                <expan abbr="itaq;">itaque</expan>
              videmus
                <expan abbr="quandoq;">quandoque</expan>
              partes à plagâ remotiores præ alijs
                <lb/>
              frangi. </s>
              <s>Et quidem
                <foreign lang="grc">θραυστὸν</foreign>
              in multa fragmenta diſſilit: ut
                <lb/>
              vitrum, cryſtallus, teſta, lapis:
                <expan abbr="Idq;">Idque</expan>
              præter opinionem-
                <foreign lang="grc">τὸ χα­
                  <lb/>
                ταχτὸν</foreign>
              verò minùs fallit deſignationem: at〈que〉 in duas
                <expan abbr="plerumq;">plerumque</expan>
                <lb/>
              partes abſcedit; factâ diviſione in centro plagæ. </s>
              <s>Quæ qui­
                <lb/>
              dem
                <foreign lang="grc">χάταξις</foreign>
              magis procedit, cùm plaga longiùs abeſt à parti­
                <lb/>
              bus extremis: tum enim partem illam, quæ interiacet, pro ve­
                <lb/>
              cte habet: cuius hypomochlium ſunt extrema. </s>
              <s>
                <expan abbr="Atq;">Atque</expan>
              ita fit,
                <lb/>
              ut vitro fragili, aut ſtramine fuſtem
                <expan abbr="craſſiorẽ">craſſiorem</expan>
                <expan abbr="quandoq;">quandoque</expan>
              ſrangi
                <lb/>
              contingat: cùm nimirum maior eft velocitas motûs, quàm re­
                <lb/>
              ſiſtentia:
                <expan abbr="nullaq;">nullaque</expan>
              à percuſſo recipitur plaga. </s>
              <s>Oppoſito mo­
                <lb/>
              dò habet fractura: cùm hypomochlium eſt in centro plagæ,
                <lb/>
              ſeu diviſionis: extrema verò
                <expan abbr="utrinq;">utrinque</expan>
              adducuntur. </s>
              <s>Nam in pri­
                <lb/>
              ori quidem
                <foreign lang="grc">χαταξθ</foreign>
              duo, hic non niſi unum eſt hypomochli­
                <lb/>
              um. </s>
              <s>Dubitabis ergo, quæ harum fractura ſit magis expedita. </s>
              <lb/>
              <s>Dicendum verò impulſum extrema adducentem, ut hypo­
                <lb/>
              mochlium medio ſit loco, prevalere: quod quidem erit ma­
                <lb/>
              nifeſtum, ſi fuſtem parte mediâ præhenſum ijsdem viribus
                <lb/>
              frangere coneris. </s>
              <s>Huius autem ratio: quòd extrema vim
                <lb/>
              habeant vectis non impeditam: tantâ ergo acceſſione auge­
                <lb/>
              tur impulſus, quanta huius eſt longitudo: reſiſtentiâ in ſolâu­
                <lb/>
              nione hypomochlij vim habente. </s>
              <s>At verò cùm extrema hy­
                <lb/>
              pomochlio innituntur, & plaga fit in huius centro; impulſus
                <lb/>
              quidem augetur ex illa remotione
                <expan abbr="utrinq;">utrinque</expan>
              ab hypomochlio: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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