Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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          <p>
            <s xml:id="echoid-s23046" xml:space="preserve">
              <pb o="345" file="0361" n="361" rhead="LIBER TERTIVS."/>
            tis; </s>
            <s xml:id="echoid-s23047" xml:space="preserve">(quia enim Meridianus, & </s>
            <s xml:id="echoid-s23048" xml:space="preserve">Verticalis per centrum mundi A, & </s>
            <s xml:id="echoid-s23049" xml:space="preserve">per punctum B, ducuntur,
              <lb/>
            erit ducta recta A B, e
              <unsure/>
            orum communis ſectio, hoc e
              <unsure/>
            ſt, axis Horizontis) erunt rectæ per B, & </s>
            <s xml:id="echoid-s23050" xml:space="preserve">pun
              <lb/>
              <figure xlink:label="fig-0361-01" xlink:href="fig-0361-01a" number="239">
                <image file="0361-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0361-01"/>
              </figure>
              <note position="left" xlink:label="note-0361-01" xlink:href="note-0361-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0361-02" xlink:href="note-0361-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0361-03" xlink:href="note-0361-03a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0361-04" xlink:href="note-0361-04a" xml:space="preserve">40</note>
            cta in horizontali linea inuenta ductæ communes ſectiones Verticalium circulorum, & </s>
            <s xml:id="echoid-s23051" xml:space="preserve">plani ho-
              <lb/>
            rologii. </s>
            <s xml:id="echoid-s23052" xml:space="preserve">Linea autem meridiana erit nonageſimus Verticalis. </s>
            <s xml:id="echoid-s23053" xml:space="preserve">Itaque circulos Verticales in eo-
              <lb/>
            dem horologio, quod ab Horizonte declinat, delineauimus. </s>
            <s xml:id="echoid-s23054" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s23055" xml:space="preserve"/>
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        <div xml:id="echoid-div1171" type="section" level="1" n="279">
          <head xml:id="echoid-head289" style="it" xml:space="preserve">SCHOLIVM.</head>
          <note position="left" xml:space="preserve">50</note>
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            <s xml:id="echoid-s23056" xml:space="preserve">EX iis, quæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s23057" xml:space="preserve">14. </s>
            <s xml:id="echoid-s23058" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s23059" xml:space="preserve">2. </s>
            <s xml:id="echoid-s23060" xml:space="preserve">ostendimus, liquido conſtat, portionem minorem horologii à
              <lb/>
            linea horizontali abſciſſam exhibere quoque nobis circulos Verticales in horologio Inferiori, ſi eius par
              <lb/>
            tes permutentur, vt ſupra dictum eſt.</s>
            <s xml:id="echoid-s23061" xml:space="preserve"/>
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            <s xml:id="echoid-s23062" xml:space="preserve">QVONIAM vero demonſtrauimus, Horizontem per rectam A D, & </s>
            <s xml:id="echoid-s23063" xml:space="preserve">Meridianum per A B,
              <lb/>
            duci, ſi triangulum A B D, rectum ſtatuatur ad horologii planum in recta B D, efficitur, angulum
              <lb/>
            A D B, eſſe angulum inclinationis plani ad Horizontem, quem videlicet Horizon cum plano declinan-
              <lb/>
            te facit in plano Verticalis circuli, & </s>
            <s xml:id="echoid-s23064" xml:space="preserve">A B D, angulum complementi eiuſdem inclinationis, nempe quem
              <lb/>
            Meridianus cum eodẽ plano declinante conſtituit in Verticalis circuli plano. </s>
            <s xml:id="echoid-s23065" xml:space="preserve">Quamobrem neceſſe est, re-
              <lb/>
            liquum angulum B A D, rectum eſſe in triangulo A B D. </s>
            <s xml:id="echoid-s23066" xml:space="preserve">Id quod perſpicuum etiam eſſe poteſt ex horo-
              <lb/>
            logio, quod in ſcholio propoſ. </s>
            <s xml:id="echoid-s23067" xml:space="preserve">13. </s>
            <s xml:id="echoid-s23068" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s23069" xml:space="preserve">ad datam ſtyli longitudinem conſtruximus. </s>
            <s xml:id="echoid-s23070" xml:space="preserve">Ibi enim linea F E,
              <lb/>
            reſpondet hic lineæ A B, & </s>
            <s xml:id="echoid-s23071" xml:space="preserve">linea F α, ibi eadem eſt, quæ bic linea A D.</s>
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