Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N412ABB" type="main">
              <s id="N412E83">
                <pb xlink:href="004/01/334.jpg"/>
              diameter dicta
                <expan abbr="ẽ">esse</expan>
              . </s>
              <s id="N412EA5">Hæc. n.
                <expan abbr="quãta">quanta</expan>
              ſit ad numerum
                <expan abbr="ignorat̃">ignoratur</expan>
              . </s>
              <s id="N412EB5">Sed
                <lb/>
              eſſe
                <expan abbr="hãc">hanc</expan>
                <expan abbr="cõſtãt">conſtant</expan>
                <expan abbr="radicẽ">radicem</expan>
              areæ octonariæ. </s>
              <s id="N412EC6">Eſtque
                <expan abbr="ſubĩde">ſubinde</expan>
              et ' diame
                <lb/>
              ter cubi:
                <expan abbr="quã">quam</expan>
              certo ſcimus eſſe
                <expan abbr="radicẽ">radicem</expan>
              numeri duodenarii.
                <lb/>
              </s>
              <s id="N412ED8">Poſtremo
                <expan abbr="ẽ">est</expan>
              linea
                <expan abbr="ĩ">in</expan>
              triangulo
                <expan abbr="rectãgulo">rectangulo</expan>
              maxima / cuius
                <expan abbr="q̃dẽ">quidem</expan>
                <lb/>
              trianguli duo minora latera
                <expan abbr="rectũ">rectum</expan>
                <expan abbr="angulũ">angulum</expan>
                <expan abbr="continẽtia">continentia</expan>
              ſint:
                <lb/>
              eorum
                <expan abbr="alterũ">alterum</expan>
              radix quaternariæ areæ:
                <expan abbr="alterũ">alterum</expan>
              uero latus ſit
                <lb/>
              radix duodenariæ. </s>
              <s id="N412F05">Tertia uero linea maxima recto angulo
                <lb/>
              ſubtenſa radix numerorum exiſtat
                <expan abbr="ſexdecĩ">ſexdecim</expan>
              . </s>
              <s id="N412F0E">Tales
                <expan abbr="igit̃">igitur</expan>
              qua
                <lb/>
              les
                <expan abbr="recẽſuimus">recenſuimus</expan>
              diametris
                <expan abbr="finiẽdis">finiendis</expan>
              et numerorum et
                <expan abbr="quãtitatum">quantita
                  <lb/>
                tum</expan>
                <expan abbr="correſpondẽtiæ">correſpondentiæ</expan>
                <expan abbr="ĩnatæ">innatæ</expan>
              ſunt. </s>
              <s id="N412F2D">Iſtorum
                <expan abbr="oĩum">omnium</expan>
              uſus
                <expan abbr="ẽ/ut">est / ut</expan>
              mi
                <lb/>
              nima linea
                <expan abbr="det̃">detur</expan>
              areæ latitudini: maxima uero huic
                <expan abbr="correſpõdẽs">correſpon
                  <lb/>
                dens</expan>
                <expan abbr="lõgitudini">longitudini</expan>
              . </s>
              <s id="N412F4B">Mediæ uero
                <expan abbr="dent̃">dentur</expan>
              altitudini. </s>
              <s id="N412F52">Sed interdum
                <lb/>
              pro ædificiorum
                <expan abbr="cõmoditate">commoditate</expan>
                <expan abbr="cõmutabuntur">commutabuntur</expan>
              .</s>
            </p>
            <p id="N412F5F" type="main">
              <s id="N412F61">Quæ
                <expan abbr="aũt">aut</expan>
              diffinitionis ratio
                <expan abbr="nõ">non</expan>
                <expan abbr="ĩnata">innata</expan>
              armoniis et corpori
                <lb/>
              bus: ſed ſumpta
                <expan abbr="aliũde">aliunde</expan>
              ad diametros
                <expan abbr="ternatĩ">ternatim</expan>
                <expan abbr="iungẽdos">iungendos</expan>
              ſub
                <lb/>
              ſeruiat
                <expan abbr="nũc">nunc</expan>
                <expan abbr="dicendũ">dicendum</expan>
              eſt. </s>
              <s id="N412F88">Et. n. ſunt
                <expan abbr="quidẽ">quidem</expan>
                <expan abbr="triũ">trium</expan>
              diametrorum
                <expan abbr="ī">in</expan>
                <lb/>
              opus coaptandorum annotationes
                <expan abbr="quædã">quædam</expan>
              ualde commode du
                <lb/>
              ctæ
                <expan abbr="cũ">cum</expan>
              a muſicis / tum a geometris /
                <expan abbr="tũ">tum</expan>
              etiam ab arithmetri
                <lb/>
              cis: quas iuuabit recognouiſſe. </s>
              <s id="N412FB0">Has
                <expan abbr="philoſophãtes">philoſophantes</expan>
                <expan abbr="appellarũt">appella
                  <lb/>
                runt</expan>
              mediocritates: earum ratio et uaria et multiplex
                <expan abbr="ẽ">esse</expan>
              . </s>
              <s id="N412FC0">Sed in
                <lb/>
              primis apud ſapientes
                <expan abbr="captãdarum">captandarum</expan>
              mediocritatum modi ſunt
                <lb/>
              tres: quorum
                <expan abbr="oĩum">omnium</expan>
              ſinis ut poſitis duobus extremis medius
                <expan abbr="q̃dam">qui
                  <lb/>
                dam </expan>
                <expan abbr="cõparetur">comparetur</expan>
              numerus ambobus illis poſitis
                <expan abbr="correſpondẽs">correſpondens</expan>
                <lb/>
              certa cum ratione: hoc eſt / ut ita loquar / affinitatis quadam
                <lb/>
              adiunctione. </s>
              <s id="N412FDD">Hac in diſquiſitione terminos conſideramus
                <lb/>
              tris: duos / quorum alter hinc maximus: et
                <expan abbr="cõtra">contra</expan>
              hinc alter mi
                <lb/>
              nimus dicatur. </s>
              <s id="N412FE8">Tertius uero intermedius utriſque correſpon
                <lb/>
              deat ex mutua relatione interuallorum: quibus interuallis
                <lb/>
              hic medius numerus ab utriſque diſtet. </s>
              <s id="N412FEF">Ex tribus quas
                <expan abbr="ĩ">in</expan>
              pri
                <lb/>
              mis probarint philoſophantes / facillima inuentu mediocri
                <lb/>
              tas eſt:
                <expan abbr="quã">quam</expan>
                <expan abbr="arithmetricã">arithmetricam</expan>
              dicunt. </s>
              <s id="N413002">Poſitis enim extremis nu
                <lb/>
              merorum terminis: hoc eſt hinc maximo / puta octauo: atque
                <lb/>
              hinc e regione minimo / puta quattuor: hos ambos in unam
                <lb/>
              iungis
                <expan abbr="ſũmam">ſummam</expan>
              : fient igitur duodecim: qua
                <expan abbr="ſũma">ſumma</expan>
                <expan abbr="compoſitatũ">compoſita</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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