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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            <s xml:id="echoid-s22769" xml:space="preserve">
              <pb o="341" file="0357" n="357" rhead="LIBER TERTIVS."/>
            los β E C, F E C, & </s>
            <s xml:id="echoid-s22770" xml:space="preserve">æqualitatem rectarum E β, E F, erit β C, axis mundi; </s>
            <s xml:id="echoid-s22771" xml:space="preserve">quandoquidem in plano
              <lb/>
            Meridiani per rectas F E, E C, ducti cum F E, meridiana linea Verticalis in F, centro mundi angulum
              <lb/>
            conſtituit E β C, complemento altitudinis poli ſupra Horizontem æqualem. </s>
            <s xml:id="echoid-s22772" xml:space="preserve">Igitur per coroll. </s>
            <s xml:id="echoid-s22773" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s22774" xml:space="preserve">21.
              <lb/>
            </s>
            <s xml:id="echoid-s22775" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s22776" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22777" xml:space="preserve">punctum C, in plano horologii, in quod axis cadit, centrum erit horologii. </s>
            <s xml:id="echoid-s22778" xml:space="preserve">Hinc fit, rectam C K, eſ-
              <lb/>
            ſe lineam ſtyli, quemadmodum & </s>
            <s xml:id="echoid-s22779" xml:space="preserve">in prima deſcriptione huius propoſ. </s>
            <s xml:id="echoid-s22780" xml:space="preserve">linea styli C G, ducta eſt ex cen-
              <lb/>
            tro C, per k, locum ſtyli. </s>
            <s xml:id="echoid-s22781" xml:space="preserve">Pari ratione efficitur, rectam α G, quæ ad lineam ſtyli perpendicularis eſt, eſ-
              <lb/>
            ſe lineam æquinoctialem, quandoquidem per punctum α, ducenda eſt, vt nuper oſtendimus, & </s>
            <s xml:id="echoid-s22782" xml:space="preserve">angulos
              <lb/>
            rectos facit cum linea ſtyli, vt in priori deſcriptione horologij declinantis à Verticali propoſ. </s>
            <s xml:id="echoid-s22783" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22784" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s22785" xml:space="preserve">
              <lb/>
            demonſtratum eſt à nobis. </s>
            <s xml:id="echoid-s22786" xml:space="preserve">Reliqua omnia demonſtrabuntur, vt in priori deſcriptione propoſ. </s>
            <s xml:id="echoid-s22787" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22788" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s22789" xml:space="preserve">
              <lb/>
            eius{q́ue} ſcholio, vbi horologium declinans à Verticali ad datum ſtylum, eius locum conſtruximus.</s>
            <s xml:id="echoid-s22790" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s22791" xml:space="preserve">PER Ellipſim in plano horologii deſcriptã, cuius diametri inueniuntur, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s22792" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22793" xml:space="preserve">huius
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              <note position="right" xlink:label="note-0357-02" xlink:href="note-0357-02a" xml:space="preserve">Deſcript io eiuſ
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              dem horologii
                <lb/>
              ex @llipſi.</note>
            lib. </s>
            <s xml:id="echoid-s22794" xml:space="preserve">conſtruemus idẽ horologium ab Horizonte declinans, & </s>
            <s xml:id="echoid-s22795" xml:space="preserve">cõmodiſſime quidem, quoad illas boras, quę
              <lb/>
            vix ęquinoctialem lineã interſecant, quales in noſtro exẽplo ſunt horę 8. </s>
            <s xml:id="echoid-s22796" xml:space="preserve">& </s>
            <s xml:id="echoid-s22797" xml:space="preserve">9. </s>
            <s xml:id="echoid-s22798" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s22799" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s22800" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s22801" xml:space="preserve">Exem-
              <lb/>
            plum huius deſcriptionis non confecimus, quia ſine vllo labore res ipſa per cipi poteſt ex figura, quam in
              <lb/>
            dicto ſcholio propoſ. </s>
            <s xml:id="echoid-s22802" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22803" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s22804" xml:space="preserve">construximus. </s>
            <s xml:id="echoid-s22805" xml:space="preserve">Refert enim ea figura horologiũ ab Horizonte declinans
              <lb/>
            grad. </s>
            <s xml:id="echoid-s22806" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22807" xml:space="preserve">ex parte orientali, ita vt occaſum reſpiciat, fabricatum ad latitudinem gr. </s>
            <s xml:id="echoid-s22808" xml:space="preserve">48. </s>
            <s xml:id="echoid-s22809" xml:space="preserve">quæ nimirũ com-
              <lb/>
            plementũ est illius latitudinis, ad quã illud horologiũ à Verticali declinans cõſtructũ eſt; </s>
            <s xml:id="echoid-s22810" xml:space="preserve">mutatis tamen
              <lb/>
            numeris horarum in earundem complementa vſque ad 12. </s>
            <s xml:id="echoid-s22811" xml:space="preserve">Vt manifestum eſt ex iis, quæ ad initium huius
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s22812" xml:space="preserve">ſcripſimus.</s>
            <s xml:id="echoid-s22813" xml:space="preserve"/>
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        <div xml:id="echoid-div1157" type="section" level="1" n="275">
          <head xml:id="echoid-head285" xml:space="preserve">PROBLEMA 14. PROPOSITIO 14.</head>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s22814" xml:space="preserve">PARALLELOS, ſiue arcus ſignorum Zodiaci in horologio,
              <lb/>
            quod ab Horizonte declinat, figurare.</s>
            <s xml:id="echoid-s22815" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s22816" xml:space="preserve">PRORSVS ijſdem modis in hoc horologio arcus ſignorum deſcribentur, quibus deſcri-
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              <note position="right" xlink:label="note-0357-04" xlink:href="note-0357-04a" xml:space="preserve">Deſcriptio @@-
                <lb/>
              cuum ſignorũ
                <lb/>
              in hologio de
                <unsure/>
              -
                <lb/>
              clinante ab Ho
                <lb/>
              siaont
                <unsure/>
              e.</note>
              <figure xlink:label="fig-0357-01" xlink:href="fig-0357-01a" number="237">
                <image file="0357-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0357-01"/>
              </figure>
              <note position="left" xlink:label="note-0357-05" xlink:href="note-0357-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0357-06" xlink:href="note-0357-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0357-07" xlink:href="note-0357-07a" xml:space="preserve">50</note>
            pti ſunt in horologio declinante à Verticali, vt in ſubiecta figura apparet. </s>
            <s xml:id="echoid-s22817" xml:space="preserve">Duximus ã
              <unsure/>
            utem in f
              <unsure/>
            i-
              <lb/>
            gura radiorum ex C, lineas illis duntaxat horis reſpondentes, quæ in horologio ad ſiniſtram </s>
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