Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N412ABB" type="main">
              <s id="N412CF4">
                <pb xlink:href="004/01/333.jpg"/>
              ad duplam ſexquialtera et ſimul
                <expan abbr="ſexq̃tertia">ſexquitertia </expan>
              . </s>
              <s id="N412D00">Id qui fiat ex
                <lb/>
                <expan abbr="p̨xime">proxime </expan>
              dictis
                <expan abbr="conſpicuũ">conſpicuum</expan>
              eſt. </s>
              <s id="N412D09">
                <expan abbr="Nã">Nam</expan>
              quo ſit explicatio iſtæc
                <expan abbr="ap̃/tior">aper
                  <lb/>
                tior </expan>
              poſita puta dualitate
                <expan abbr="p̃">per </expan>
                <expan abbr="ſexq̃alter6atilde;">ſexquialteram </expan>
              fit ternarius: qui per
                <lb/>
                <expan abbr="ſexq̃tertiã">ſexquitertiam</expan>
              fit quaternarius. </s>
              <s id="N412D1A">Qui demum quaternarius
                <expan abbr="p̃">per</expan>
                <expan abbr="du/plã">du
                  <lb/>
                plam</expan>
              fit octonarius. </s>
              <s id="N412D22">Aut ſic. </s>
              <s id="N412D25">
                <expan abbr="Nã">Nam</expan>
              poſito
                <expan abbr="quidẽ">quidem</expan>
              ternario habes
                <lb/>
              ex dupla iſtius
                <expan abbr="ſenariũ">ſenarium</expan>
              : cui addis
                <expan abbr="alterã">alteram</expan>
              ſui partem:
                <expan abbr="fiũt">fiunt</expan>
                <expan abbr="no/uẽ">no
                  <lb/>
                uem</expan>
              : huic addis
                <expan abbr="tertiã/dabuntur">tertiam / dabuntur</expan>
                <expan abbr="duodecĩ">duodecim</expan>
              :
                <expan abbr="q̃">qui </expan>
              quoque ad ſui
                <expan abbr="nimũtris">mi
                  <lb/>
                nimum tris</expan>
              quaternarius eſt. </s>
              <s id="N412D4F">His numeris quales
                <expan abbr="recẽſuimus">recenſuimus</expan>
                <lb/>
                <expan abbr="utũtur">utuntur</expan>
              architecti
                <expan abbr="nõ">non</expan>
                <expan abbr="cõfuſe">confuſe</expan>
              et promiſcue: ſed correſpondenti
                <lb/>
              bus utrinque ad
                <expan abbr="armoniã">armoniam</expan>
              . </s>
              <s id="N412D69">Vti
                <expan abbr="q̃">qui</expan>
              parietes uelit attollere
                <expan abbr="ĩ">in</expan>
              area
                <lb/>
              fortaſſis: cuius longitudo ſit ad ſui
                <expan abbr="latitudinẽ">latitudinem</expan>
              dupla: is iſtic
                <lb/>
                <expan abbr="utat̃">utatur</expan>
                <expan abbr="reſpõdentiis">reſpondentiis</expan>
              no quibus tripla: ſed iis
                <expan abbr="tantũ">tantum</expan>
              : quibus
                <expan abbr="eadẽ">ea
                  <lb/>
                dem</expan>
              ipſa
                <expan abbr="coponat̃">coponatur</expan>
              dupla. </s>
              <s id="N412D8C">Aeque
                <expan abbr="itidẽ">itidem</expan>
              ſequetur in area tripla:
                <lb/>
                <expan abbr="nã">nam</expan>
              ſuis quoque
                <expan abbr="utet̃">utetur</expan>
                <expan abbr="reſpõdentiis">reſpondentiis </expan>
              : utetur
                <expan abbr="inq̈">in quam</expan>
                <expan abbr="nõ">non</expan>
              aliis
                <expan abbr="q̈">quam</expan>
              ſuis.
                <lb/>
              </s>
              <s id="N412DA1">Itaque diffiniet diametros
                <expan abbr="ternatī">ternatim</expan>
              numeris quoſ
                <expan abbr="recẽſuimus">recenſuimus</expan>
              :
                <lb/>
              uti
                <expan abbr="accõmodatiores">accommodatiores</expan>
              eos uenire
                <expan abbr="ſuũ">ſuum</expan>
              ad opus intelligat. </s>
              <s id="N412DB6">Dia
                <lb/>
              metris
                <expan abbr="etiã">etiam</expan>
                <expan abbr="finiũdis">finiundis</expan>
                <expan abbr="ĩnatæ">innatæ</expan>
                <expan abbr="ſũt">ſunt</expan>
                <expan abbr="quædã">quædam</expan>
                <expan abbr="correſpõdẽtiæ">correſpondentiæ</expan>
              quæ nu
                <lb/>
              meris
                <expan abbr="neq̃eq̈">nequicquam</expan>
              terminari
                <expan abbr="poſſũt">poſſunt </expan>
              : ſed
                <expan abbr="captãtur">captantur</expan>
              radicibus et po
                <lb/>
              tentiis. </s>
              <s id="N412DDF">Radices
                <expan abbr="ſũt">ſunt</expan>
              latera quadratorum numerorum. </s>
              <s id="N412DE6">Po
                <lb/>
              tentiæ
                <expan abbr="quidẽ">quidem</expan>
                <expan abbr="ſũt">ſunt</expan>
              ipſorum quadratorum areæ. </s>
              <s id="N412DF3">Ex arearum accretio
                <lb/>
              ne
                <expan abbr="cõcipiũtur">concipiuntur</expan>
              cubi. </s>
              <s id="N412DFC">Cuborum primus cuius radix unitas diui
                <lb/>
              nitati
                <expan abbr="cõſecratus">conſecratus</expan>
              eſt / ea re quod ex unitate productus totus ipſe
                <lb/>
              quaque unus ſit. </s>
              <s id="N412E07">Accedit quod
                <expan abbr="aiũt">aiunt</expan>
                <expan abbr="unũ">unum</expan>
              eſſe
                <expan abbr="oĩum">omnium</expan>
              figurarum
                <lb/>
              in primis
                <expan abbr="ſtabilẽ">ſtabilem</expan>
              : et in
                <expan abbr="oẽm">omnem</expan>
              baſim æque
                <expan abbr="cõſtantẽ">conſtantem</expan>
              et
                <expan abbr="p̃manſurum">permanſu
                  <lb/>
                rum </expan>
              . </s>
              <s id="N412E26">Sed unitas ſi
                <expan abbr="nõ">non</expan>
              ipſa numerus eſt: ſed numerorum ſcatu
                <lb/>
              rigo ſeſe
                <expan abbr="ipſã">ipſam</expan>
                <expan abbr="cõtinẽs">continens</expan>
              atque
                <expan abbr="profundẽs">profundens</expan>
              :
                <expan abbr="primũ">primum</expan>
              eſſe numerum for
                <lb/>
              taſſis licebit dicere
                <expan abbr="dualitatẽ">dualitatem</expan>
              . </s>
              <s id="N412E45">Ex radice hac producis
                <expan abbr="areã">aream</expan>
                <lb/>
                <expan abbr="quaternariã/quã">quaternariam / quam</expan>
              qui in
                <expan abbr="altũ">altum</expan>
              ſuſtulerunt ad radicis parilita
                <lb/>
              tem
                <expan abbr="cõplebitur">complebitur</expan>
              cubus octonarius: ex cubo iſtiuſmodi finitio
                <lb/>
              num
                <expan abbr="cõſtitutiones">conſtitutiones</expan>
                <expan abbr="habebũtor">habebuntur</expan>
              . </s>
              <s id="N412E65">
                <expan abbr="Nãque">Namque</expan>
                <expan abbr="ĩprimis">imprimis</expan>
                <expan abbr="quidẽ">quidem</expan>
              iſtic ſe
                <lb/>
              offerret
                <expan abbr="ipſũ">ipſum</expan>
              cubi latus / quod cubica
                <expan abbr="dicit̃">dicitur</expan>
              radix cuius area
                <lb/>
              numerorum
                <expan abbr="ẽ">esse</expan>
              quattuor: et cubi ipſius plenitudo octo. </s>
              <s id="N412E83">His ac
                <lb/>
              cedit linea ab
                <expan abbr="ãgulo">angulo</expan>
              areæ ad oppoſitum
                <expan abbr="ãgulum">angulum</expan>
              :
                <expan abbr="p̃">per</expan>
              quod
                <expan abbr="directũ">di
                  <lb/>
                rectum</expan>
              ducta
                <expan abbr="quadratũ">quadratum</expan>
              areæ
                <expan abbr="diuidẽs">diuidens</expan>
              in duo æqualia / ex quo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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