Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N412840" type="main">
              <s id="N4129F3">
                <pb xlink:href="004/01/331.jpg"/>
              dabis numerum quattuor: minori tria. </s>
              <s id="N4129FA">In ea uero
                <expan abbr="cõſonantia">conſonantia</expan>
                <lb/>
              quæ diapaſon dicitur / numeri
                <expan abbr="habent̃">habentur</expan>
                <expan abbr="reſpõdentes">reſpondentes</expan>
              ex dupla
                <lb/>
              uti binarii ad
                <expan abbr="unitatẽ/">unitatem /</expan>
              et
                <expan abbr="totũ">totum</expan>
              ad ſui
                <expan abbr="dimidiã">dimidiam</expan>
              . </s>
              <s id="N412A19">In tripla ter
                <lb/>
              narii ad
                <expan abbr="ipſã">ipſam</expan>
                <expan abbr="eandẽ">eandem</expan>
                <expan abbr="unitatẽ/">unitatem /</expan>
              aut
                <expan abbr="ĩtegri">integri</expan>
              ad ſui
                <expan abbr="partẽ">partem</expan>
              tertiam:
                <lb/>
              in quadrupla quaternarius ad
                <expan abbr="ipſã">ipſam</expan>
                <expan abbr="itidẽ">itidem</expan>
                <expan abbr="reſpõdet">reſpondet</expan>
              unitatem
                <lb/>
              uti
                <expan abbr="integrũ">integrum</expan>
              ad ſui
                <expan abbr="quartã">quartam</expan>
              . </s>
              <s id="N412A4A">Numeri
                <expan abbr="demũ">demum</expan>
              ipſi muſici / ut eoſ
                <lb/>
                <expan abbr="ſũmatim">ſummatim</expan>
                <expan abbr="colligã/hi">colligan / hi</expan>
                <expan abbr="ſũt">ſunt</expan>
              . </s>
              <s id="N412A5E">Vnus / duo / tres / quattuor. </s>
              <s id="N412A61">Eſt
                <expan abbr="ẽt">etiam</expan>
                <lb/>
              ut dixi tonus: in quo maior neruus ad
                <expan abbr="minorẽ">minorem</expan>
                <expan abbr="cõp̃atus">comperatus</expan>
                <expan abbr="">eum</expan>
              ſu
                <lb/>
              perat ex minoris
                <expan abbr="p̃te">parte</expan>
              octaua. </s>
              <s id="N412A78">His
                <expan abbr="oĩbus">omnibus</expan>
              numeris
                <expan abbr="utũt̃">utuntur</expan>
              archi
                <lb/>
              tecti
                <expan abbr="perq̃">perquam</expan>
                <expan abbr="cõmodiſſime">commodiſſime</expan>
              : et binatim
                <expan abbr="ſũptis">ſumptis</expan>
              uti
                <expan abbr="ponẽdis">ponendis</expan>
              foro
                <lb/>
              plateis et areis
                <expan abbr="ſubdiualibus/ĩ">ſubdiualibus / in</expan>
              quibus
                <expan abbr="ſolũ">ſolum</expan>
              duæ
                <expan abbr="cõſiderãtur">conſiderantur</expan>
                <lb/>
              diametri latitudinis et longitudinis. </s>
              <s id="N412AA5">Ternatim
                <expan abbr="etiã">etiam</expan>
                <expan abbr="ſũptis">ſumptis</expan>
                <lb/>
                <expan abbr="urunt̃">utuntur</expan>
              ueluti in feſſionibus publicis et ſenatu ponendo atque
                <lb/>
              aula et eiuſmodi: in quibus una comparant longitudini la
                <lb/>
              titudinem: et utriſque iſtorum altitudinem uolunt ad
                <expan abbr="armo/niam">armo
                  <lb/>
                niam </expan>
              correſpondere.</s>
            </p>
            <p id="N412ABB" type="main">
              <s id="N412ABD">De his nobis
                <expan abbr="dicendũ">dicendum</expan>
              eſt. </s>
              <s id="N412AC4">Prius de areis: in quibus
                <expan abbr="binatĩ">binatim</expan>
                <lb/>
              diametri
                <expan abbr="coaptant̃">coaptantur</expan>
              . </s>
              <s id="N412AD1">Arearum aliæ breues: aliæ prolixiores: aliæ
                <lb/>
              mediæ:
                <expan abbr="oĩum">omnium</expan>
              breuiſſima eſt quadrata: cuius latera quæuis
                <lb/>
              mutua
                <expan abbr="lõgitudine">longitudine</expan>
              ſunt æqualia: et angulis
                <expan abbr="reſpõdent">reſpondent</expan>
                <expan abbr="oĩbus">omnibus</expan>
                <lb/>
              rectis. </s>
              <s id="N412AEA">Proxima eſt iſtic
                <expan abbr="ſexq̃altera">ſexquialtera </expan>
              /
                <expan abbr="">tum</expan>
              et inter breues areas
                <lb/>
              annumerabitur ſexquitertia. </s>
              <s id="N412AF3">Tres
                <expan abbr="igit̃">igitur</expan>
              iſtiuſmodi
                <expan abbr="reſpõdẽtiæ">reſponden
                  <lb/>
                tiæ</expan>
              quæ
                <expan abbr="eadẽ">eadem</expan>
              apud nos ſimplices
                <expan abbr="nũcupant̃">nuncupantur</expan>
              breuibus deben
                <lb/>
              tur areis. </s>
              <s id="N412B0A">Mediocribus quoque æque tris
                <expan abbr="cõueniũt">conueniunt</expan>
              . </s>
              <s id="N412B11">Earum opti
                <lb/>
              ma eſt dupla: huic proxima quæ a ſexquialtera duplicata
                <expan abbr="cõponitur">com
                  <lb/>
                ponitur</expan>
              . </s>
              <s id="N412B1C">Atqui producitur ea
                <expan abbr="quidẽ">quidem</expan>
              ſic: poſito minimo areæ
                <lb/>
              numero puta quattuor / producitur prima ſexquialtera: fient
                <lb/>
              ſex. </s>
              <s id="N412B27">Huic
                <expan abbr="etiã">etiam</expan>
              addis rurſus
                <expan abbr="etiã">etiam</expan>
              iſtius
                <expan abbr="alterã">alteram</expan>
              :
                <expan abbr="fiũt">fiunt</expan>
                <expan abbr="nouẽ">nouem</expan>
              . </s>
              <s id="N412B3E">Ex
                <lb/>
              cedet
                <expan abbr="igit̃">igitur</expan>
                <expan abbr="lõgitudo">longitudo</expan>
              maxima iſtic
                <expan abbr="breuiſſimã">breuiſſimam</expan>
              ex dupla atque
                <lb/>
              amplius ex duplæ tono et mediarum
                <expan abbr="etiã">etiam</expan>
              erit
                <expan abbr="quã">quam</expan>
              dederis bis
                <lb/>
                <expan abbr="ſũpta">ſumpta</expan>
              ſexquitertia pari ducta ratione uti proxima. </s>
              <s id="N412B5E">Erit igi
                <lb/>
              tur ex hac re
                <expan abbr="ſũpta">ſumpta</expan>
              productione linea iſtic minor ut
                <expan abbr="nouẽ">nouem</expan>
                <expan abbr="lõgiſſima">lon
                  <lb/>
                giſſima</expan>
              ut
                <expan abbr="ſexdecĩ">ſexdecim</expan>
              . </s>
              <s id="N412B75">Ergo hic maior linea exceditur a dupla
                <lb/>
              minoris uno minus tono: In prolixioribus areis ratio
                <expan abbr="ducit̃">ducitur</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>