Vitruvius, Vitrvvivs Itervm Et Frontinvs À Iocvndo Revisi Repvrgatiqve Qvantvm Ex Collatione Licvit, 1513

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          <p style="it">
            <s xml:space="preserve">
              <pb file="0298" n="298" rhead="LIBER"/>
            tur, optimos habent ſapientiæ ſenſus, in ſtituũt\’q́ ci-
              <lb/>
            uitatibũs humanitatis mores, æquaiura, leges, qui-
              <lb/>
            bus abſentibus, nulla poteſt eſſe ciuitas in columis,
              <lb/>
            Cum ergo tanta munera ab ſcriptorum prudentia
              <lb/>
            priuatim publicæ\’q́ fuerint hominibus præparata,
              <lb/>
            non ſolũ arbitror palmas & </s>
            <s xml:space="preserve">coronas his tribui opor
              <lb/>
            tere, ſed etiam decerni triumphos, & </s>
            <s xml:space="preserve">inter deorum
              <lb/>
            ſedes eos dedicandos iudicari, Eorum autem cogita-
              <lb/>
            ta utiliter hominibus ad uitam explicandom, ẽ plu-
              <lb/>
            ribus ſingula paucorum, uti exempla ponam, quære
              <lb/>
            cognoſcentes neceſſario his tribui honores oportere
              <lb/>
            homines cõfitebuntur, & </s>
            <s xml:space="preserve">primum Platonis ẽ multis
              <lb/>
            rõcinatiõibus utiliſſimis unã, quemadmodum ab eo
              <lb/>
            explicata ſit, ponam.</s>
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          </p>
          <p style="it">
            <s xml:space="preserve">Platonis inuentum de agro metiẽdo.</s>
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          <head xml:space="preserve">Cap. I.</head>
          <p style="it">
            <s xml:space="preserve">PLOcus aut ager paribus lateribus, ſi erit
              <lb/>
            quadratus, eumq́ oportuerit iterũ ex pa
              <lb/>
            ribus lateribus duplicare, quia id gene-
              <lb/>
            re numeri, ac multiplicationibus non inuenitur, eo
              <lb/>
            deſcriptionibus line arum emendatis reperitur. </s>
            <s xml:space="preserve">Eſt
              <lb/>
            autem eius reihæc demonſtratio. </s>
            <s xml:space="preserve">Quadratus locus
              <lb/>
            qui erit longus & </s>
            <s xml:space="preserve">latus pedes denos, efficit areæ pe-
              <lb/>
            des centum, Siergo opus fuerit eũ duplicare, & </s>
            <s xml:space="preserve">creã
              <lb/>
            pedum ducentorum, item ex paribus lateribus face-
              <lb/>
            re, quærendum erit, ꝗ̃ma gnum latus eius quadrati
              <lb/>
            fiat, ut ex eo ducenti pedes duplicationibus areære-
              <lb/>
            ſpondeant, Id autem numero nemo poteſt inuenire,
              <lb/>
            nanq́ ſi. </s>
            <s xml:space="preserve">xiiii. </s>
            <s xml:space="preserve">conſtituentur erunt multiplicati pedes
              <lb/>
            cxcyi. </s>
            <s xml:space="preserve">Si. </s>
            <s xml:space="preserve">xy. </s>
            <s xml:space="preserve">pedes. </s>
            <s xml:space="preserve">ccxxy. </s>
            <s xml:space="preserve">Ergo quoniam id non ex-
              <lb/>
            plicatur numero in eo quadrato longo, & </s>
            <s xml:space="preserve">lato </s>
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