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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        <div xml:id="echoid-div929" type="section" level="1" n="225">
          <pb o="269" file="0285" n="285" rhead="LIBER SECVNDVS."/>
          <p style="it">
            <s xml:id="echoid-s18219" xml:space="preserve">RVRSVS in ſecunda figura ſcholii eiuſdem propoſ. </s>
            <s xml:id="echoid-s18220" xml:space="preserve">9. </s>
            <s xml:id="echoid-s18221" xml:space="preserve">huius libri ex recta E D, abſcindatur recta
              <lb/>
            E b, gnomoni æqualis, & </s>
            <s xml:id="echoid-s18222" xml:space="preserve">per b, ipſi A C, parallela agatur, adeò vt rurſum centro E, dictæ figuræ colloca-
              <lb/>
            to in centro E, circuli F G H I, in horologio, & </s>
            <s xml:id="echoid-s18223" xml:space="preserve">puncto b, in puncto A, parallela per b, ducta congruat
              <lb/>
            æquinoctiali lineæ. </s>
            <s xml:id="echoid-s18224" xml:space="preserve">Secabit porrò parallela ducta per b, rectas ſignorum ex E, emiſſas, etiam illorum, quæ
              <lb/>
            ſunt ſupra rectam A C, productas tamen infra centrum E, in punctis, quorum interualla beneficio cir cini
              <lb/>
            ex puncto b, ſumpta, & </s>
            <s xml:id="echoid-s18225" xml:space="preserve">in æquinoctialem lineam horologii translata ex puncto A, dabunt in linea æqui-
              <lb/>
            noctiali puncta, per quæ ſigna aſcendentia ſunt ducenda, hoc tamen ordine. </s>
            <s xml:id="echoid-s18226" xml:space="preserve">In horologio vtroque in partem
              <lb/>
              <note position="right" xlink:label="note-0285-01" xlink:href="note-0285-01a" xml:space="preserve">Ordo ſignorũ
                <lb/>
              aſcen dentiũ in
                <lb/>
              linca ęquino-
                <lb/>
              ctiali.</note>
            antemcridianam, hoc eſt, in ſiniſtr am ſuperioris horologii, & </s>
            <s xml:id="echoid-s18227" xml:space="preserve">in dextram inferioris, transferenda ſunt pun
              <lb/>
            cta ſupra punctum b; </s>
            <s xml:id="echoid-s18228" xml:space="preserve">in partem verò pomeridianam puncta infra punctum b, computando etiam ſigna,
              <lb/>
            quæ infra centrum E, ſunt, & </s>
            <s xml:id="echoid-s18229" xml:space="preserve">vltra centrum E, producta, ita vt in illa parte ſint ♉, ♊, ♏, ♋, & </s>
            <s xml:id="echoid-s18230" xml:space="preserve">♐; </s>
            <s xml:id="echoid-s18231" xml:space="preserve">in
              <lb/>
              <note position="left" xlink:label="note-0285-02" xlink:href="note-0285-02a" xml:space="preserve">10</note>
            hac verò ♌, ♑, ♍, ♒, & </s>
            <s xml:id="echoid-s18232" xml:space="preserve">♓. </s>
            <s xml:id="echoid-s18233" xml:space="preserve">His ita peractis, ſi puncta in tropicis inuenta cum punctis reſpondentibus
              <lb/>
            in linea æquinoctiali coniungantur, delineata erunt ſigna aſcendentia, vt prius. </s>
            <s xml:id="echoid-s18234" xml:space="preserve">Quæ omnia in ſuperiori fi-
              <lb/>
            gura manifeſta ſunt. </s>
            <s xml:id="echoid-s18235" xml:space="preserve">Lineæ ♈, & </s>
            <s xml:id="echoid-s18236" xml:space="preserve">♎, ducendæ ſunt parallelæ lineæ æquinoctiali per puncta tropicorum,
              <lb/>
            in quibus à linea meridiana diuiduntur, vt ſupra dictum eſt.</s>
            <s xml:id="echoid-s18237" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s18238" xml:space="preserve">LINEAE porrò aſcendentium ſignorum in ſuperiori horologio vltra lineam horizont alem produ-
              <lb/>
              <note position="right" xlink:label="note-0285-03" xlink:href="note-0285-03a" xml:space="preserve">Signa aſcenden
                <lb/>
              tia vltra lineã
                <lb/>
              horizontalem
                <lb/>
              producta dant
                <lb/>
              eadem ſigna in
                <lb/>
              horologio infe-
                <lb/>
              riori, ſi paries
                <lb/>
              permutentur,
                <lb/>
              vt ſæpe dictum
                <lb/>
              eſt.</note>
            ctæ dabunt quoque eadem ſigna aſcendentia in horologio inferiori, ſi tamen ſuperior pars in inferiorem, et
              <lb/>
            quæ dextratunc eſt, in ſiniſtram mutetur; </s>
            <s xml:id="echoid-s18239" xml:space="preserve">vt conſtat ex demonſtratis in ſcholio propoſ. </s>
            <s xml:id="echoid-s18240" xml:space="preserve">14. </s>
            <s xml:id="echoid-s18241" xml:space="preserve">huius libri.</s>
            <s xml:id="echoid-s18242" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div933" type="section" level="1" n="226">
          <head xml:id="echoid-head232" xml:space="preserve">PROBLEMA 46. PROPOSITIO 46.</head>
          <p>
            <s xml:id="echoid-s18243" xml:space="preserve">HOROLOGIVM Italicum polare deſcribere.</s>
            <s xml:id="echoid-s18244" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s18245" xml:space="preserve">CIRCVLVS ſæpe nominatus F G H I, ſecetur, ut in ſcholio propoſ. </s>
            <s xml:id="echoid-s18246" xml:space="preserve">1. </s>
            <s xml:id="echoid-s18247" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s18248" xml:space="preserve">1. </s>
            <s xml:id="echoid-s18249" xml:space="preserve">docuimus, in
              <lb/>
              <note position="right" xlink:label="note-0285-05" xlink:href="note-0285-05a" xml:space="preserve">Horologii Ita-
                <lb/>
              lici polaris de-
                <lb/>
              ſcriptio.</note>
            arcum diurnum, & </s>
            <s xml:id="echoid-s18250" xml:space="preserve">nocturnum tropici ♋, ſitq́ue arcus diurnus a F b, ita vt recta a b, communis ſe-
              <lb/>
              <figure xlink:label="fig-0285-01" xlink:href="fig-0285-01a" number="198">
                <image file="0285-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0285-01"/>
              </figure>
              <note position="left" xlink:label="note-0285-06" xlink:href="note-0285-06a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0285-07" xlink:href="note-0285-07a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0285-08" xlink:href="note-0285-08a" xml:space="preserve">50</note>
            ctio paralleli, & </s>
            <s xml:id="echoid-s18251" xml:space="preserve">Horizontis lineæ æquinoctiali ſit parallela. </s>
            <s xml:id="echoid-s18252" xml:space="preserve">Deinde circulus F G H I, diuidatur
              <lb/>
            in horas 24. </s>
            <s xml:id="echoid-s18253" xml:space="preserve">æquales, initio facto à termino arcus diurni occidentali, nempe à puncto a. </s>
            <s xml:id="echoid-s18254" xml:space="preserve">Si enim ex
              <lb/>
            punctis diuiſionum per centrum rectæ lineæ occultæ ducantur, quæ ex demonſtratis propoſ. </s>
            <s xml:id="echoid-s18255" xml:space="preserve">10.</s>
            <s xml:id="echoid-s18256" xml:space="preserve"/>
          </p>
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