Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000533">
                <pb pagenum="39" xlink:href="028/01/079.jpg"/>
              inter experiundum applicari diuerſis ſeorſim lineis
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              debeant, ne inter mouendum ſeſe interturbent: om­
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              neis tamen ſchemate vno repræſentari nihil prohibet.
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              </s>
              <s id="s.000534">Ducantur heinc inde duæ lineæ angulum ſtatuentes
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              in A, qui à perpendiculo biſecctur, ſintque v. c. IA,
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              KA; & centro A; agantur inter illas arcus CD ad
                <expan abbr="pri-mũ">pri­
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                mum</expan>
              pedem, EF ad quartum, GH ad nonum IK ad
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              ſextum-decimum; qui ſimiles proinde erunt, pares
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              videlicet portiones ſuotum cuiuſque circulorum eo­
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              dem angulo menſuratæ. </s>
              <s id="s.000535">Ducantur & ſubtenſæ ar­
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              cuum; & adnotentur quaſi ſagittæ, ſeu appellati ſinus
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              verſi, lineæ nimirùm LM, NO, PQ, RB; cùm
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              ſint altitudines, quibus globi delabuntur ex linea AI
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              (vbi ad illam abducti, ex ea dimittuntur) in ipſum
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              perpendiculum; primus putà ex C in M, ſecundus
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              ex E in O, tertius ex G in Q, quartus ex I in B.
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              </s>
              <s id="s.000536">Abducantur proinde globi ad memoratam lineam
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              AI, vt ſuas, exinde dimiſſi, vibrationes peragant, ad
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              lineam AK, aut quam-proximè terminandas. </s>
              <s id="s.000537">Nam &
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              quamuis quilibet globus, ſeu longiùs, ſeu breuiùs di­
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              miſſus, & ſeu moueri incipiat, ſeu deſinat, vibrationes
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              omneis æqui-temporaneas ſortiatur, temporibuſve
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              paribus perficiat; proportio tamen ſemper eſt, quoties
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              ſub æquali, eodemue angulo accipiuntur. </s>
              <s id="s.000538">Dimittan­
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              tur & globi ſimul, ac peruenire concipiantur ad vſ­
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              que perpendiculum. </s>
              <s id="s.000539">Quoniam tunc vt filum AO
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              quadruplum eſt fili AM, & filum AQ nonuplum,
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              filum AB ſexdecuplum; ita altitudo NO dupla eſt
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              altitudinis LM, & altitudo PQ nonupla, altitudo
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              RB ſexdecupla; quo pacto interuallum quoque per-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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