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-div698" type="section" level="1" n="174">
          <p style="it">
            <s xml:id="echoid-s13646" xml:space="preserve">
              <pb o="201" file="0221" n="221" rhead="LIBER SECVNDVS."/>
            inuentam eſſe horam 3 {1/2}. </s>
            <s xml:id="echoid-s13647" xml:space="preserve">à meridie, & </s>
            <s xml:id="echoid-s13648" xml:space="preserve">horam 8 {1/4}. </s>
            <s xml:id="echoid-s13649" xml:space="preserve">ab ortu, & </s>
            <s xml:id="echoid-s13650" xml:space="preserve">horam 22 {3/4}. </s>
            <s xml:id="echoid-s13651" xml:space="preserve">ab occaſu. </s>
            <s xml:id="echoid-s13652" xml:space="preserve">Quoniam igitur
              <lb/>
            elapſæ ſunt poſt meridiem horæ 3 {1/2}. </s>
            <s xml:id="echoid-s13653" xml:space="preserve">ſi detrahamus 3 {1/2}. </s>
            <s xml:id="echoid-s13654" xml:space="preserve">ex 8 {1/4}. </s>
            <s xml:id="echoid-s13655" xml:space="preserve">& </s>
            <s xml:id="echoid-s13656" xml:space="preserve">ex 22 {3/4}. </s>
            <s xml:id="echoid-s13657" xml:space="preserve">reperiemus meridiem ſecun-
              <lb/>
            dum horas ab ortu fieri hora 4 {3/4}. </s>
            <s xml:id="echoid-s13658" xml:space="preserve">mediam noctem autem hora 16 {3/4}. </s>
            <s xml:id="echoid-s13659" xml:space="preserve">At vero ſecundum horas ab occaſu,
              <lb/>
            meridiem effici hora 19 {1/4}. </s>
            <s xml:id="echoid-s13660" xml:space="preserve">& </s>
            <s xml:id="echoid-s13661" xml:space="preserve">mediam noctem hora 7 {1/4}. </s>
            <s xml:id="echoid-s13662" xml:space="preserve">Itaque cum meridies fiat hora 4 {3/4}.</s>
            <s xml:id="echoid-s13663" xml:space="preserve">
              <unsure/>
            ab ortu, ſu-
              <lb/>
            pererunt totidem horæ vſque ad Solis occaſum. </s>
            <s xml:id="echoid-s13664" xml:space="preserve">Quamobrem complectetur dies horas 9 {1/2}. </s>
            <s xml:id="echoid-s13665" xml:space="preserve">& </s>
            <s xml:id="echoid-s13666" xml:space="preserve">nox horas
              <lb/>
            14 {1/2}. </s>
            <s xml:id="echoid-s13667" xml:space="preserve">Vnde Sol tunc orietur hora 14 {1/2}. </s>
            <s xml:id="echoid-s13668" xml:space="preserve">ab occaſu, occidet{q́ue} hora 9 {1/2}. </s>
            <s xml:id="echoid-s13669" xml:space="preserve">ab ortu. </s>
            <s xml:id="echoid-s13670" xml:space="preserve">Pari ratione, quia media
              <lb/>
            nox, more Italorum, fit hora 7 {1/4}. </s>
            <s xml:id="echoid-s13671" xml:space="preserve">ſupererunt totidem horæ vſque ad ortum Solis. </s>
            <s xml:id="echoid-s13672" xml:space="preserve">Quocirca continebit
              <lb/>
            nox horas 14 {1/2}. </s>
            <s xml:id="echoid-s13673" xml:space="preserve">& </s>
            <s xml:id="echoid-s13674" xml:space="preserve">dies horas 9 {1/2}. </s>
            <s xml:id="echoid-s13675" xml:space="preserve">&</s>
            <s xml:id="echoid-s13676" xml:space="preserve">c.</s>
            <s xml:id="echoid-s13677" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s13678" xml:space="preserve">EX deſcriptione porrò horologij Italici, & </s>
            <s xml:id="echoid-s13679" xml:space="preserve">Babylonici in hac, & </s>
            <s xml:id="echoid-s13680" xml:space="preserve">præcedenti propoſ. </s>
            <s xml:id="echoid-s13681" xml:space="preserve">tradita perſpi-
              <lb/>
              <note position="right" xlink:label="note-0221-01" xlink:href="note-0221-01a" xml:space="preserve">Quomodo dif-
                <lb/>
              ferant inter ſe
                <lb/>
              horologium Ita
                <lb/>
              licum, & Baby-
                <lb/>
              lonicum; & qua
                <lb/>
              ratione ex It
                <unsure/>
              all
                <lb/>
              co componatur
                <lb/>
              Babylonicum,
                <lb/>
              & ex Babyloni-
                <lb/>
              co Italic
                <unsure/>
              um.</note>
            cuum eſt, duo hæc horologia non differre inter ſe, niſi ſitu, & </s>
            <s xml:id="echoid-s13682" xml:space="preserve">ordine horarum; </s>
            <s xml:id="echoid-s13683" xml:space="preserve">ita vt pars ſiniſtra vnius re
              <lb/>
              <note position="left" xlink:label="note-0221-02" xlink:href="note-0221-02a" xml:space="preserve">10</note>
            ſpondeat dextræ alterius & </s>
            <s xml:id="echoid-s13684" xml:space="preserve">contra. </s>
            <s xml:id="echoid-s13685" xml:space="preserve">Quapropter ſi horologium Italicum deſcribatur, inſeruiet idem pro
              <lb/>
            Babylonico, ſi modo inuertatur, vt pars ſiniſtra fiat dextra, & </s>
            <s xml:id="echoid-s13686" xml:space="preserve">contra, & </s>
            <s xml:id="echoid-s13687" xml:space="preserve">ex linea horæ 23. </s>
            <s xml:id="echoid-s13688" xml:space="preserve">ab oc-
              <lb/>
            caſu fiat hora prima ab ortu, & </s>
            <s xml:id="echoid-s13689" xml:space="preserve">ſecunda ab ortu fiat ex 22. </s>
            <s xml:id="echoid-s13690" xml:space="preserve">ab occaſu, &</s>
            <s xml:id="echoid-s13691" xml:space="preserve">c. </s>
            <s xml:id="echoid-s13692" xml:space="preserve">Id quod ſacile patet: </s>
            <s xml:id="echoid-s13693" xml:space="preserve">ſi horo-
              <lb/>
            logium Babylonicum hac propoſ. </s>
            <s xml:id="echoid-s13694" xml:space="preserve">delineatũ cũ horologio Italico propos. </s>
            <s xml:id="echoid-s13695" xml:space="preserve">præcedenti deſcripto confer atur.</s>
            <s xml:id="echoid-s13696" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s13697" xml:space="preserve">IT AQVE ſi horologium Italicum in charta aliqua deſcribatur, & </s>
            <s xml:id="echoid-s13698" xml:space="preserve">in parte oppoſita ducantur li
              <lb/>
            neæ reſpondentes ad vnguem lineis horologij Italici, deſcriptum erit in parte oppoſita horologium Baby-
              <lb/>
            lonicum, dummodo numeri horarum in Italico mutentur in Babylonico in earum complementa vſque ad
              <lb/>
            24. </s>
            <s xml:id="echoid-s13699" xml:space="preserve">vt hora 23. </s>
            <s xml:id="echoid-s13700" xml:space="preserve">Italica in primam Babylonicam, & </s>
            <s xml:id="echoid-s13701" xml:space="preserve">22. </s>
            <s xml:id="echoid-s13702" xml:space="preserve">in ſecundam, & </s>
            <s xml:id="echoid-s13703" xml:space="preserve">21. </s>
            <s xml:id="echoid-s13704" xml:space="preserve">in tertiam, &</s>
            <s xml:id="echoid-s13705" xml:space="preserve">c.</s>
            <s xml:id="echoid-s13706" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s13707" xml:space="preserve">EODEM modo ſi prius deſcribatur horologium Babylonicum deſcribetur in parte oppoſita horo-
              <lb/>
            logium Italicum, ita vt ſingulæ lineæ ſingulis lineis reſpondeant ad vnguem, mutatis quoque numeris
              <lb/>
              <note position="left" xlink:label="note-0221-03" xlink:href="note-0221-03a" xml:space="preserve">20</note>
            horarum in Babylonico in earum complementa vſque ad 24. </s>
            <s xml:id="echoid-s13708" xml:space="preserve">in Italico. </s>
            <s xml:id="echoid-s13709" xml:space="preserve">Vt hora prima Babylonica in 23.
              <lb/>
            </s>
            <s xml:id="echoid-s13710" xml:space="preserve">Italicam, & </s>
            <s xml:id="echoid-s13711" xml:space="preserve">ſecunda in 22. </s>
            <s xml:id="echoid-s13712" xml:space="preserve">& </s>
            <s xml:id="echoid-s13713" xml:space="preserve">tertia in 21. </s>
            <s xml:id="echoid-s13714" xml:space="preserve">&</s>
            <s xml:id="echoid-s13715" xml:space="preserve">c. </s>
            <s xml:id="echoid-s13716" xml:space="preserve">Quod item intelligendum eſt in alijs horologijs Italicis,
              <lb/>
            & </s>
            <s xml:id="echoid-s13717" xml:space="preserve">Babylonicis, quæ in aliis planis, quæ nimirum non Horizonti, ſed alijs circulis maximis in ſphæra pa-
              <lb/>
            rallela ſunt, deſcribuntur.</s>
            <s xml:id="echoid-s13718" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div704" type="section" level="1" n="175">
          <head xml:id="echoid-head178" xml:space="preserve">PROBLEMA 12. PROPOSITIO 12.</head>
          <p>
            <s xml:id="echoid-s13719" xml:space="preserve">HOROLOGIVM Antiquum horizontale conſtituere. </s>
            <s xml:id="echoid-s13720" xml:space="preserve">Hoc eſt,
              <lb/>
            lineas horarũ inęqualium in plano Horizonti ęquidiſtante deſcribere.</s>
            <s xml:id="echoid-s13721" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">30</note>
          <p>
            <s xml:id="echoid-s13722" xml:space="preserve">DIVISO circulo ex E, deſcripto in arcum diurnum tropici ♋, a N b, & </s>
            <s xml:id="echoid-s13723" xml:space="preserve">tropici ♑, d N e, vt
              <lb/>
              <note position="right" xlink:label="note-0221-05" xlink:href="note-0221-05a" xml:space="preserve">Deſcriptio ho-
                <lb/>
              rologii Antiqui
                <lb/>
              horizontalis.</note>
            in propoſ. </s>
            <s xml:id="echoid-s13724" xml:space="preserve">10. </s>
            <s xml:id="echoid-s13725" xml:space="preserve">huius libri factum eſt, ſecetur vterque arcus diurnus in partes 12. </s>
            <s xml:id="echoid-s13726" xml:space="preserve">æquales, initio fa-
              <lb/>
              <figure xlink:label="fig-0221-01" xlink:href="fig-0221-01a" number="153">
                <image file="0221-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0221-01"/>
              </figure>
              <note position="left" xlink:label="note-0221-06" xlink:href="note-0221-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0221-07" xlink:href="note-0221-07a" xml:space="preserve">50</note>
            cto à punctis a, & </s>
            <s xml:id="echoid-s13727" xml:space="preserve">d, orientalibus, ita vt proxima puncta poſt a, & </s>
            <s xml:id="echoid-s13728" xml:space="preserve">d, verſus N, pertineant ad horã
              <unsure/>
              <lb/>
            primam inęqualem in vtroque tropico, & </s>
            <s xml:id="echoid-s13729" xml:space="preserve">ſequentia ad ſecundam, &</s>
            <s xml:id="echoid-s13730" xml:space="preserve">c. </s>
            <s xml:id="echoid-s13731" xml:space="preserve">tranſibunt per hæc puncto
              <unsure/>
              <lb/>
            diuiſionum, ſi horologium, & </s>
            <s xml:id="echoid-s13732" xml:space="preserve">circulus M a N b, proprium ſitum habeant, circuli maximi per po-
              <lb/>
            los mundi, & </s>
            <s xml:id="echoid-s13733" xml:space="preserve">horas inæquales tropicorum ♋, & </s>
            <s xml:id="echoid-s13734" xml:space="preserve">♑, ducti, vt ex demonſtratis propoſ. </s>
            <s xml:id="echoid-s13735" xml:space="preserve">10. </s>
            <s xml:id="echoid-s13736" xml:space="preserve">huius </s>
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