Alberti, Leone Battista, De re aedificatoria, 1485

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      <text>
        <body>
          <chap id="N40001A">
            <p id="N400C14" type="main">
              <s id="N400DD3">
                <pb xlink:href="004/01/021.jpg"/>
              Nanque alius integer: alius comminutus: alius compoſitus eſt. </s>
              <s id="N400DDE">In
                <lb/>
              teger is eſt qui circuli mediam
                <expan abbr="partẽ">partem</expan>
              occupat / hoc eſt / cui corda
                <lb/>
              integri eſt circuli diameter: Comminutus: cui corda eſt minor di
                <lb/>
              ametro: eſtque perinde idem is arcus
                <expan abbr="cẽmirutus">comminutus</expan>
              ſemicirculi pars:
                <lb/>
              Compoſitus ex duobus comminutis conſtat: efficitque ea dere in ſum
                <lb/>
              mo angulum arcubus ſe ſe mutua iunctione interſecantibus: quod
                <lb/>
              neque integro neque comminuto euenit. </s>
              <s id="N400DF5">His cognitis rem ſic proſe
                <lb/>
              quemur. </s>
              <s id="N400DFA">Arearum alia
                <expan abbr="ãguiaris">angularis</expan>
              : alia circularis. </s>
              <s id="N400E01">Angularium alia
                <lb/>
              penitus rectis lineis. </s>
              <s id="N400E06">Alia rectis & flexis
                <expan abbr="mixtī">mixtim</expan>
              concluſa eſt: Quæ
                <lb/>
              uero angularis flexis pluribus ſit lineis poſita / nullis inter miſſis
                <lb/>
              rectis me in ueterum ædificiis inueniſſe non memini. </s>
              <s id="N400E11">At in his
                <lb/>
              obſeruanda ea ſunt / quæ in totis ædificii partibus uehementer ui
                <lb/>
              tuperantur ſi deſint: et non ſine gratia et commoditate habentur:
                <lb/>
              ſi adſint: hoc eſt ut cum angulis: tum lineis: tum etiam partibus
                <lb/>
              quibuſque uarietas
                <expan abbr="quædã">quædam</expan>
              adſit: Ne
                <expan abbr="nimiũ">nimium</expan>
              quod
                <expan abbr="frequẽs /ne">frequens / ne</expan>
              ue
                <expan abbr="oīo">omnino</expan>
              ra
                <lb/>
              ra / ſed ita ad uſum et gratiam poſita / ut integra integris: et pari
                <lb/>
              bus paria conreſpondeant. </s>
              <s id="N400E30">Rectis angulis percommode utuntur:
                <lb/>
              Acutis angulis nemo uſus eſt
                <expan abbr="ẽt">et</expan>
              minimis in areis & neglectis niſi
                <lb/>
              inuitus et cogente aut locorum aut dignarum arearum
                <expan abbr="rõe">ratione</expan>
              et modo
                <lb/>
              obtuſos angulos ſatis decentes putarunt: ſed hoc ſeruarunt ut nu
                <lb/>
              mero eſſent
                <expan abbr="nuſq̈">nuſquam</expan>
              diſpares. </s>
              <s id="N400E43">Aream omnium capaciſſimam et in
                <lb/>
              qua ſapienda ſeu aggere ſeu muro minus impenſe
                <expan abbr="habeat̃/eã">habeatur / eam</expan>
              eſſe
                <lb/>
              affirmant quæ fiet
                <expan abbr="rotũda">rotunda</expan>
              : Proximam huic putant quæ plurimos
                <lb/>
              habeat proiectos angulos: Sed eſſe oportet angulos
                <expan abbr="oīo">omnino</expan>
              compares
                <lb/>
              mutuoque correſpondentes atque coæquabiles omni in area. </s>
              <s id="N400E5A">Atqui
                <lb/>
              has quidem in primis comprobant / quas intelligant parietes attol
                <lb/>
              lere commode ad operis altitudinem recte ſtatuendam uti ea eſt:
                <lb/>
              quæ ſex / quæue octo habeat angulos. </s>
              <s id="N400E63">Vidimus et aream angulo
                <lb/>
              rum decem aptiſſimam & uenuſtiſſimam. </s>
              <s id="N400E68">Eſt
                <expan abbr="ẽt">et</expan>
              ut recte poni an
                <lb/>
              gulorum area queat duodecim atque item ſexdecim: Vidimus qui
                <lb/>
              dem quatuor & uiginti angulorum aream: ſed rariora iſtec. </s>
              <s id="N400E73">Laterum li
                <lb/>
              neas ita
                <expan abbr="cẽ">causae</expan>
              oportet ut e regione oppoſitæ coæquales ſint: et
                <expan abbr="nusq̈">nusquam</expan>
              lon
                <lb/>
              giſſime lineæ toto in ope breuiſſimi uno perducto adigentur: Sed
                <lb/>
              erit inter eas pro rata rerum iuſta & condecens proportio. </s>
              <s id="N400E80">Angu</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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