DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb n="3" xlink:href="036/01/019.jpg"/>
            <p id="id.2.1.3.1.0.0.0" type="head">
              <s id="id.2.1.3.1.2.1.0">PROPOSITIO I. </s>
            </p>
            <p id="id.2.1.3.2.0.0.0" type="main">
              <s id="id.2.1.3.2.1.1.0">Si Pondus in eius centro grauitatis a recta ſu­
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              ſtineatur linea, nunquam manebit, niſi eadem li­
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              nea horizonti fuerit perpendicularis. </s>
            </p>
            <p id="id.2.1.3.3.0.0.0" type="main">
              <s id="id.2.1.3.3.1.1.0">Sit pondus A, cuius centrum gra
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              uitatis B, quod à linea CE ſuſti­
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              neatur. </s>
              <s id="id.2.1.3.3.1.2.0">Dico pondus nunquam
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              permanſurum, niſi CB horizonti
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              perpendicularis exiſtat. </s>
              <s id="id.2.1.3.3.1.3.0">ſit pun­
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              ctum C immobile, quod vt pon
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              dus ſuſtineatur, neceſſe eſt. </s>
              <s id="id.2.1.3.3.1.4.0">& cum
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              punctum C ſit immobile, ſi pon­
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              dus A mouebitur, punctum B cir
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              culi circumferentiam deſcribet,
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              cuius ſemidiameter erit CB. qua
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              re centro C, ſpatio verò BC, cir­
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              culus deſcribatur BFDE. </s>
              <s id="id.2.1.3.3.1.4.0.a">ſitq;
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                <figure id="id.036.01.019.1.jpg" place="text" xlink:href="036/01/019/1.jpg" number="4"/>
                <lb/>
              primum BC horizonti perpendicularís, quæ vſq; ad D produca­
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              tur; atq; punctum C ſit infra punctum B. </s>
              <s id="id.2.1.3.3.1.4.0.b">Quoniam enim pondus
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              A ſecundum grauitatis centrum B deorſum mouetur; punctum
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              B deorſum in centrum mundi, quò naturaliter tendit, per re­
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              ctam lineam BD mouebitur: totum ergo pondus A eius cen­
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              tro grauitatis B ſuper rectam lineam BC graueſcet. </s>
              <s id="id.2.1.3.3.1.5.0">cum au­
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              tem pondus à linea CB ſuſtineatur, linea CB totum ſuſti­
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              nebit pondus A; ſuper quam deorſum moueri non poteſt, cum
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              ab ipſa prohibeatur: per definitionem igitur centri grauitatis pun
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              ctum B, ponduſq; A in hoc ſitu manebunt. </s>
              <s id="id.2.1.3.3.1.6.0">& quamquam B quo­
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              cunq; alio puncto circuli ſit ſublimius, ab hoc tamen ſitu deorſum
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              per circuli circumferentiam nequaquam mouebitur non enim ver­
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              ſus F magis, quàm verſus E inclinabitur, cum ex vtraq; parte æqua­
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              lis ſit deſcenſus; neq; pondus A in vnam magis, quàm in alteram
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              partem propenſionem habeat: quod non accidit in quouis alio
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              puncto circumferentiæ circuli (præter D) ſit ponderis eiuſdem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum