Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627
page |< < of 303 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N16653" type="main">
              <s id="N16664">
                <pb pagenum="217" xlink:href="005/01/225.jpg"/>
              di iuxta progreſſum axis, ac circuli maioris,
                <expan abbr="ſimulq.">ſimulque</expan>
              tardius
                <lb/>
              rotari quàm ille, minus ſpatium eodem tempore tranſmit­
                <lb/>
              tendo in ſua minori circumuolutione:
                <expan abbr="proindeq.">proindeque</expan>
              per talem
                <lb/>
              rotationem, rectam quandam lineam deſcribit maiorem,
                <lb/>
              quam ſit eius circunferentia propria. </s>
              <s id="N1667C">E contra verò, nam
                <lb/>
              cum circulus maior mouetur ad motum minoris, magis par­
                <lb/>
              ticipat de latione circulari, quàm recta. </s>
              <s id="N16683">Siquidem, cogitur
                <lb/>
              citius moueri circulariter quàm rectà, cum eodem tempo­
                <lb/>
              re maiorem ambitum, quàm circulus minor, æqualemque
                <lb/>
              rectam debeat percurrere:
                <expan abbr="ideoq.">ideoque</expan>
              minorem rectam in ſua
                <lb/>
              circumuolutione deſcribit, quàm ſit eiuſmet circumſerentia­
                <lb/>
              qua illam attingit. </s>
              <s id="N16694">Demum quia ſi circulus ex ſe, & inde­
                <lb/>
              pendenter ab alio duplici hac latione feratur, ſiue maior ſit,
                <lb/>
              ſiue minor, ſemper æquè de vtraque participat. </s>
              <s id="N1669B">Etenim tan­
                <lb/>
              tum rectà progreditur quantum rotatur, nec aliunde rapi­
                <lb/>
              tur, aut detinetur, vt magis vna quàm altera latione dimo­
                <lb/>
              ueatur. </s>
              <s id="N166A4">Quo fit vt linea quam ſuper planum deſcribit, æqua­
                <lb/>
              lis ſit propriæ circumferentiæ eique ſecundum omnes par­
                <lb/>
              tes commenſurata. </s>
            </p>
            <p id="N166AB" type="main">
              <s id="N166AD">Verum vt non ſolum cauſa tam admirabilis effectus, ſed
                <lb/>
              etiam modus quo ipſe ab illa procedit expreſſius innote­
                <lb/>
              ſcat, ac difficultas vltimò propoſita ex directo penitus eua­
                <lb/>
              datur, vlterius dicendum eſt, circulum delatum non minus
                <lb/>
              ac deferentem, omnia ac ſingula puncta, quæ ſunt in linea re­
                <lb/>
              cta ſuper quam fertur per totidem puncta propria ſucceſſi­
                <lb/>
              uè attingere; ita vt in quolibet inſtanti per nouum punctum
                <lb/>
              ſuæ peripheriæ attingat nouum punctum plani. </s>
              <s id="N166C0">Etenim cum
                <lb/>
              planum à circulo attingatur per puncta, quæ ſunt extremita­
                <lb/>
              tes diametrorum, & vterque circulus ex infinitis diametris
                <lb/>
              conſtet; imò diametri circuli maioris includant diametros
                <lb/>
              minoris; tot erunt puncta terminatiua diametrorum in cir­
                <lb/>
              culo minori, quot ſunt in maiori, ſiue delato per quæ ſimili­
                <lb/>
              ter omnia puncta ſui plani valebit attingere. </s>
            </p>
            <p id="N166CF" type="main">
              <s id="N166D1">Rurſus dicendum eſt tam circulum deferentem, quàm
                <lb/>
              circulum delatum omnes, ac ſingulas partes diuiſibiles, quę
                <lb/>
              ſunt in eadem linea plani per totidem partes ſuas ſucceſſiuè </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>