Vitruvius, M. Vitruvii ... de architectura libri decem, ad Augustum Caesarem accuratiß conscripti: & nunc primum in Germania qua potuit diligentia excusi, atq[ue] hinc inde schematibus non iniucundis exornati

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        <div xml:id="echoid-div235" type="section" level="1" n="181">
          <pb o="207" file="0261" n="261" rhead="DE ARCHITEC. LIB. IX."/>
        </div>
        <div xml:id="echoid-div236" type="section" level="1" n="182">
          <head xml:id="echoid-head186" xml:space="preserve">DE NORMA, PYTHAGORICVM INVENTVM
            <lb/>
          ex orthogonij trigoni deformatione. CAP. II.</head>
          <p style="it">
            <s xml:id="echoid-s4244" xml:space="preserve">ITEM Pythagor as normam ſine artificis fabricationibus inuentam
              <lb/>
            oſtendit, & </s>
            <s xml:id="echoid-s4245" xml:space="preserve">quàm magno labore fabri normam facientes, uix ad ue-
              <lb/>
            rum perducere poſſunt, id rationibus & </s>
            <s xml:id="echoid-s4246" xml:space="preserve">methodis emendatum, ex eius
              <lb/>
            præceptis explicatur. </s>
            <s xml:id="echoid-s4247" xml:space="preserve">Nã ſi ſumantur regulæ tres, è quibus una ſit pe-
              <lb/>
            des tres, altera pedes quatuor, tertia pedes quin, hæqueregulæ inter ſe
              <lb/>
            compoſitæ tangant alia aliam ſuis cacuminibus extremis, ſchema haben-
              <lb/>
            tes trigoni, deſormabunt normam emendatam. </s>
            <s xml:id="echoid-s4248" xml:space="preserve">Ad eas autem regularum
              <lb/>
            ſingularum longitudines, ſi ſingula quadrata paribus lateribus deſcriban
              <lb/>
            tur: </s>
            <s xml:id="echoid-s4249" xml:space="preserve">quod erit pedum trium latus, araæ habebit pedes nouem: </s>
            <s xml:id="echoid-s4250" xml:space="preserve">quod erit
              <lb/>
            quatuor, ſexdecim: </s>
            <s xml:id="echoid-s4251" xml:space="preserve">quod quin erit, uiginti quin. </s>
            <s xml:id="echoid-s4252" xml:space="preserve">Ita qua@tum areæ pe
              <lb/>
            dum numerum duo quadrata, ex tribus pedibus longitudin is laterum, et
              <lb/>
            quatuor, efficiunt: </s>
            <s xml:id="echoid-s4253" xml:space="preserve">æ quæ tantũ numerum reddit unũ ex quin deſcript@.</s>
            <s xml:id="echoid-s4254" xml:space="preserve"/>
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          <figure number="77">
            <image file="0261-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0261-01"/>
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            <s xml:id="echoid-s4255" xml:space="preserve">Id Pythagoras cũ inueniſſet, non dubitans à Muſis ſein cainuentione
              <lb/>
            monitum, maximas gratias agens, hoſtias dicitur ijs immolauiſſe. </s>
            <s xml:id="echoid-s4256" xml:space="preserve">Ea au-
              <lb/>
            temratio, quẽadmodum in multis rebus & </s>
            <s xml:id="echoid-s4257" xml:space="preserve">menſuris est utilis, etiam in
              <lb/>
            ædificijs ſcalarum ædificationibus, utitemperatas habeant graduũ libra
              <lb/>
            tiones, est expedita, Sienim altitudo contignationis, ab ſumma coaxatio
              <lb/>
            ne ad imum libramentum, diuiſa fuerit in partes tres, erit earum quin{qúe} </s>
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