Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N412ABB" type="main">
              <s id="N412B75">
                <pb xlink:href="004/01/332.jpg"/>
              ſic. </s>
              <s id="N412B82">Nam aut
                <expan abbr="iũgitur">iungitur</expan>
              dupla
                <expan abbr="cũ">cum</expan>
              ſexquialtera et fit tripla: aut
                <lb/>
                <expan abbr="iungit̃">iungitur</expan>
              duplæ
                <expan abbr="etiã">etiam</expan>
              ſexquitertia / et
                <expan abbr="fiũt">fiunt</expan>
              extremi numeri uti
                <lb/>
              tres et octo: aut
                <expan abbr="ſumũtur">ſumuntur</expan>
              ut
                <expan abbr="reſpõdeant">reſpondeant</expan>
              mutuo diametri ex
                <lb/>
              quadrupla. </s>
              <s id="N412BA6">Diximus de breuioribus arcis in quibus numeri
                <lb/>
              reſpondeant aut ex æquo / aut uti duo ad tres aut uti tres ad
                <lb/>
              quattuor. </s>
              <s id="N412BAD">Et de mediocribus areis
                <expan abbr="ĩ">in</expan>
              quibus
                <expan abbr="reſpẽdẽt">reſpendent</expan>
              nume
                <lb/>
              ri aut ex dupla / aut uti quattuor ad
                <expan abbr="nouẽ/aut">nouem / aut</expan>
              uti nouem ad
                <lb/>
              ſexdecim. </s>
              <s id="N412BC0">Vltimo
                <expan abbr="recẽſuimus">recenſuimus</expan>
              prolixiores in
                <expan abbr="q̃bus">quibus</expan>
                <expan abbr="reſpõdent">reſpondent</expan>
                <lb/>
              ex tripla aut ex quadrupla / aut uti tres ad octo. </s>
              <s id="N412BCD">Ternatim
                <lb/>
                <expan abbr="aũt">aut</expan>
              uniuerſos corporis diametros / ut ſic loquar / coadiuga
                <lb/>
              bimus numeris his: qui aut
                <expan abbr="cũ">cum</expan>
              ipſis armoniis innati
                <expan abbr="ſũt">ſunt</expan>
              : aut
                <lb/>
                <expan abbr="ſũpti">ſumpti</expan>
                <expan abbr="aliũde">aliunde</expan>
              certa et recta ratione
                <expan abbr="ſũt">ſunt</expan>
              . </s>
              <s id="N412BEC">In armoniis
                <expan abbr="inſũt">inſunt</expan>
              nu
                <lb/>
              meri / ex quorum
                <expan abbr="correſpõdentiis">correſpondentiis</expan>
              proportiones earum
                <expan abbr="cõplẽtur">complentur</expan>
                <lb/>
              uti in dupla / tripla / quadrupla. </s>
              <s id="N412BFF">
                <expan abbr="Nã">Nam</expan>
              dupla
                <expan abbr="quidẽ">quidem</expan>
              ex ſimpli
                <lb/>
              ci
                <expan abbr="habet̃">habetur</expan>
              ſexquialtera: cui
                <expan abbr="adiũcta">adiuncta</expan>
              quoque ſit ſexquitertia
                <expan abbr="exẽ">exem
                  <lb/>
                plo</expan>
              huiuſmodi. </s>
              <s id="N412C19">Eſto ſit duplæ numerus minimus duo. </s>
              <s id="N412C1C">Ex
                <lb/>
              hoc produco
                <expan abbr="p̃">per </expan>
                <expan abbr="ſexquialterã">ſexquialteram</expan>
                <expan abbr="ternariũ">ternarium</expan>
              : ex ternario inde
                <expan abbr="p̃">per </expan>
                <expan abbr="ſexquitertiã">ſex
                  <lb/>
                quitertiam</expan>
                <expan abbr="habebit̃">habebitur</expan>
              quaternarius: qui
                <expan abbr="idẽ">idem</expan>
              numerus ad binari
                <lb/>
              um duplus eſt. </s>
              <s id="N412C3A">Aut itidem ſic. </s>
              <s id="N412C3D">Eſto ſit minimus numerus
                <lb/>
              tris: produco
                <expan abbr="ſexquitertiã">ſexquitertiam</expan>
              :
                <expan abbr="fiũt">fiunt</expan>
              quattuor: addo
                <expan abbr="ſexquialterã">ſexquialteram</expan>
              :
                <lb/>
                <expan abbr="habent̃">habentur</expan>
              ſex: qui relati ad tris
                <expan abbr="cõplent">complent</expan>
                <expan abbr="duplã">duplam</expan>
              . </s>
              <s id="N412C5B">Tum et tripla
                <lb/>
                <expan abbr="cõponit̃">componitur</expan>
              ex dupla et ſexquialtera ſimul iunctis. </s>
              <s id="N412C63">Eſto ſit nu
                <lb/>
              merus iſtic minimus binarius: Is ex dupla fiet quaternari
                <lb/>
              us: huic addo
                <expan abbr="ſexquialterã">ſexquialteram</expan>
              : fit ſenarius: qui
                <expan abbr="quidẽ">quidem</expan>
              ſenarius
                <lb/>
              numerus
                <expan abbr="reſpõdet">reſpondet</expan>
              ad
                <expan abbr="binariũ">binarium</expan>
              ex tripla. </s>
              <s id="N412C7C">Aut iſtuc
                <expan abbr="itidẽ">itidem</expan>
              ſic.
                <lb/>
              </s>
              <s id="N412C84">Poſito
                <expan abbr="eodẽ">eodem</expan>
              binario minori capio eius
                <expan abbr="ſexquialterã">ſexquialteram</expan>
              fiet ter
                <lb/>
              narius. </s>
              <s id="N412C91">Addo
                <expan abbr="etiã">etiam</expan>
                <expan abbr="duplã">duplam</expan>
              ternarii: habemus
                <expan abbr="ſenariũ">ſenarium</expan>
                <expan abbr="ipſũ">ipſum</expan>
              mi
                <lb/>
              noris
                <expan abbr="triplũ">triplum</expan>
              . </s>
              <s id="N412CAA">Similibus
                <expan abbr="extẽſionibus">extenſionibus</expan>
              producitur quadrupla
                <lb/>
              ex quibus
                <expan abbr="cõponitur">componitur</expan>
              dupla addita illis altera quoque dupla.
                <lb/>
              </s>
              <s id="N412CB8">
                <expan abbr="Nã">Nam</expan>
              fit ea
                <expan abbr="quidẽ">quidem</expan>
              ex dupla duplicata: quæ
                <expan abbr="eadẽ">eadem</expan>
              diſdiapaſon
                <lb/>
              appellatur. </s>
              <s id="N412CC8">Fitque in
                <expan abbr="modũ">modum</expan>
                <expan abbr="hũc">hunc</expan>
              . </s>
              <s id="N412CD3">Eſto ſit numerus iſtic mini
                <lb/>
              mus duo:
                <expan abbr="hũc">hunc</expan>
              duplo / et fit
                <expan abbr="diapaſõ">diapaſon</expan>
              : quæ
                <expan abbr="reſpõdet">reſpondet</expan>
                <expan abbr="utiq̃">utique</expan>
                <expan abbr="q̃ttuor">quattuor </expan>
                <lb/>
              ad duo. </s>
              <s id="N412CEB">
                <expan abbr="Hãc">Hanc</expan>
              iterum duplo: et fiunt biſdiapaſon: in qua
                <expan abbr="respõ/dent">respon
                  <lb/>
                dent </expan>
              ad duo octo. </s>
              <s id="N412CF4">Componitur
                <expan abbr="etiã">etiam</expan>
              quadrupla iſtec additis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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