Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N412F5F" type="main">
              <s id="N413002">
                <expan abbr="compoſitatũ">
                  <pb xlink:href="004/01/335.jpg"/>
                tum</expan>
              in duas partes diuiſa accipiam ex eis alteram: ea erit uni
                <lb/>
              tatum ſex. </s>
              <s id="N41301C">Hunc numerum ſenarium iſtic eſſe arithmetrici
                <lb/>
              mediocritatem ſtatuunt: quæ quidem inter illos poſitos ex
                <lb/>
              tremos quattuor atque octo æquo ab utriſque diſtet
                <expan abbr="ĩteruallo">interuallo</expan>
              .
                <lb/>
              </s>
              <s id="N413028">Altera uero mediocritas geometrica
                <expan abbr="ẽ">est</expan>
              : ea captatur ſic. </s>
              <s id="N41302F">
                <expan abbr="Nã">Nam</expan>
                <lb/>
              minimus quidem terminus puta quattuor in maximam pu
                <lb/>
              ta nouem ducitur. </s>
              <s id="N41303B">Ex his ita multiplicatis fit ſumma unita
                <lb/>
              tum ſex et triginta: cuius
                <expan abbr="ſũmæ/">ſummæ /</expan>
              uti loquuntur / radix / id
                <lb/>
              eſt lateris numerus totiens ſumptus quotiens in eo adſit uni
                <lb/>
              tas ipſam compleat aram numerorum triginta ſex. </s>
              <s id="N413048">Erit igi
                <lb/>
              tur radix iſtæc ſex: nam ſexies ſumpta aream dabunt ipſam
                <lb/>
              triginta ſex. </s>
              <s id="N41304F">Hanc arithmetricam mediocritatem perdiffi
                <lb/>
              cile eſt ubiuis adinueniſſe numeris: ſed lineis eadem belliſ
                <lb/>
              ſime explicatur: de quibus hic
                <expan abbr="nõ">non</expan>
              eſt ut referam. </s>
              <s id="N41305B">Tertia me
                <lb/>
              diocritas quæ muſica dicitur paulo eſt
                <expan abbr="q̈">quam</expan>
              arithmetrica labo
                <lb/>
              rioſior: numeris tamen belliſſime diffinitur. </s>
              <s id="N413062">In hac propor
                <lb/>
              tio quæ minimi eſt terminorum poſitorum ad maximum /
                <lb/>
              iſta eadem proportione ſe habeant oportet diſtantiæ hinc a
                <lb/>
              minimo ad medium: iſtinc a medio ad maximum termino
                <lb/>
              rum exemplo iſtiuſmodi. </s>
              <s id="N41306D">Eſto ſint poſiti numeri: minor tri
                <lb/>
              ginta: maior uero ſexaginta: hi quidem iſtic ſeſe habent ex
                <lb/>
              dupla: capio igitur numeros: qui minores eſſe in dupla
                <expan abbr="nõ">non</expan>
                <lb/>
              poſſunt: hi ſunt hinc unus: hinc uero
                <expan abbr="cõtra">contra</expan>
              duo:
                <expan abbr="iũgo">iungo</expan>
              eoſ /
                <lb/>
              fiunt tres. </s>
              <s id="N413084">Diuido exinde
                <expan abbr="totũ">totum</expan>
              illud
                <expan abbr="ĩteruallum">interuallum</expan>
              quod inter
                <lb/>
                <expan abbr="maximũ">maximum</expan>
              datum numerum ſexaginta et
                <expan abbr="minimũ">minimum</expan>
                <expan abbr="trigĩta">triginta</expan>
              eſt in
                <lb/>
              partes iſtas ipſas tris: erit hinc ſingula
                <expan abbr="triũ">trium</expan>
                <expan abbr="partiũ">partium</expan>
              iſtarum de
                <lb/>
              cem:
                <expan abbr="adiũgam">adiungam</expan>
              ea de re minori termino
                <expan abbr="unã">unam</expan>
                <expan abbr="iſtarũ">iſtarum</expan>
                <expan abbr="ptiũ">partium</expan>
              hoc
                <lb/>
              eſt decem / fient
                <expan abbr="quadragĩta">quadraginta</expan>
              . </s>
              <s id="N4130BE">Hæc erit quæſita mediocritas
                <lb/>
              muſica: quæ diſtet a
                <expan abbr="maxĩo">maximo</expan>
              numero ex duplo
                <expan abbr="ĩterualli">interualli</expan>
              eius:
                <lb/>
              quo medius ipſe numerus diſtat a minimo. </s>
              <s id="N4130CD">Hac. n. proporti
                <lb/>
              one
                <expan abbr="maximũ">maximum</expan>
              extremorum reſpondere ad minimum propoſuera
                <lb/>
              mus. </s>
              <s id="N4130DD">
                <expan abbr="Huiuſmõi">Huiuſmodi</expan>
              mediocritatibus architecti et totum circa
                <lb/>
                <expan abbr="ædificiũ">ædificium</expan>
              et circa
                <expan abbr="p̃tes">partes</expan>
                <expan abbr="op̃is">operis </expan>
                <expan abbr="p̃q̈">perquam</expan>
                <expan abbr="plurĩa">plurima</expan>
              digniſſima adinuenere
                <lb/>
              quæ
                <expan abbr="lõgũ">longum</expan>
              eſſet
                <expan abbr="proſeq̃.">proſequi</expan>
              .
                <expan abbr="Atq̨">Atque</expan>
              mediocritatibus
                <expan abbr="q̃dem">quidem</expan>
                <expan abbr="iſtiuſmõi">iſtiuſmodi </expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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