Clavius, Christoph, Geometria practica

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          <pb o="157" file="187" n="187"/>
          <figure number="117">
            <image file="187-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/187-01"/>
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        <div xml:id="echoid-div413" type="section" level="1" n="169">
          <head xml:id="echoid-head172" xml:space="preserve">GEOMETRIÆ
            <lb/>
          PRACTICÆ
            <lb/>
          LIBER QVARTVS.</head>
          <figure number="118">
            <image file="187-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/187-02"/>
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        <div xml:id="echoid-div414" type="section" level="1" n="170">
          <head xml:id="echoid-head173" xml:space="preserve">AREAS</head>
          <p>
            <s xml:id="echoid-s6098" xml:space="preserve">Superficierum planarum inueſtigans.</s>
            <s xml:id="echoid-s6099" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6100" xml:space="preserve">QVEMADMODVM linea recta rect{as} line{as} meti-
              <lb/>
              <note position="right" xlink:label="note-187-01" xlink:href="note-187-01a" xml:space="preserve">Pen{es} quid
                <lb/>
              menſuræ li-
                <lb/>
              nearum re-
                <lb/>
              ctarum, pla-
                <lb/>
              narum ſuper-
                <lb/>
              ficierum &
                <lb/>
              ſolidorum ſu-
                <lb/>
              mantur.</note>
            tur, ita Geometræ ſuperficies plan{as} per ſuperficiem qua-
              <lb/>
            dratam, & </s>
            <s xml:id="echoid-s6101" xml:space="preserve">corpora, ſiue ſolida, per corp{us} cubicum me-
              <lb/>
            tiri ſolent. </s>
            <s xml:id="echoid-s6102" xml:space="preserve">Nam ſicut linea recta dicitur 100. </s>
            <s xml:id="echoid-s6103" xml:space="preserve">palmorum
              <lb/>
            in qua linea vni{us} palmi centies continetur, ita ſuperfi-
              <lb/>
            cies plana dicitur 100. </s>
            <s xml:id="echoid-s6104" xml:space="preserve">palmorum, quæ centies quadra-
              <lb/>
            tum continet, cui{us} lat{us} palmo æquale est: </s>
            <s xml:id="echoid-s6105" xml:space="preserve">& </s>
            <s xml:id="echoid-s6106" xml:space="preserve">ſolidum
              <lb/>
            100. </s>
            <s xml:id="echoid-s6107" xml:space="preserve">palmorum illud dicitur, quod complectitur 100. </s>
            <s xml:id="echoid-s6108" xml:space="preserve">cubos, quorum quilibet la-
              <lb/>
            t{us} habet vni{us} palmi: </s>
            <s xml:id="echoid-s6109" xml:space="preserve">quod de aliis etiam menſuris, vt de pede, cubito, paſſu,
              <lb/>
            milliario, &</s>
            <s xml:id="echoid-s6110" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6111" xml:space="preserve">intelligendum est. </s>
            <s xml:id="echoid-s6112" xml:space="preserve">Quia vero quælibet ſuperficies tot quadrata
              <lb/>
            cuiuſque menſuræ comprehendere dicitur, quot in parallelogrammo rectangulo,
              <lb/>
            quod illi æquale est, continentur, explicandum primo loco erit, quaratione area
              <lb/>
            cuiuſlibet rectanguli cognoſcatur. </s>
            <s xml:id="echoid-s6113" xml:space="preserve">Deinde de area triangulorum, quadrilatero-
              <lb/>
            rum non rectangulorum, cæterarumque figurarum plurium laterum @gem{us}:
              <lb/>
            </s>
            <s xml:id="echoid-s6114" xml:space="preserve">ac denique circulum, eiuſque partes metiemur.</s>
            <s xml:id="echoid-s6115" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div416" type="section" level="1" n="171">
          <head xml:id="echoid-head174" xml:space="preserve">DE AREA RECTANGVLORVM
            <lb/>
            <emph style="sc">Capvt</emph>
          I.</head>
          <note position="right" xml:space="preserve">Area qua-
            <lb/>
          drati, & alte-
            <lb/>
          ra parte lon-
            <lb/>
          gioris quo pa-
            <lb/>
          cto cognoſca-
            <lb/>
          tur.</note>
          <p>
            <s xml:id="echoid-s6116" xml:space="preserve">
              <emph style="sc">QVoniam</emph>
            Euclides defin. </s>
            <s xml:id="echoid-s6117" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6118" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s6119" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6120" xml:space="preserve">docet, omne parallelogram-
              <lb/>
            mum rectangulum contineri ſub rectis duabus lineis, quæ rectum
              <lb/>
            comprehendunt angulum; </s>
            <s xml:id="echoid-s6121" xml:space="preserve">manifeſtum eſt, aream cuiuſque re-
              <lb/>
            ctanguli produci ex multip licatione duorum laterum circa </s>
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