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-s19318" xml:space="preserve">
              <pb o="286" file="0302" n="302" rhead="GNOMONICES"/>
            ex E, centro prodeuntes in punctis, quorum interualla ex β, ſumpta, & </s>
            <s xml:id="echoid-s19319" xml:space="preserve">in lineam horę 6. </s>
            <s xml:id="echoid-s19320" xml:space="preserve">horologij æqui-
              <lb/>
            noctialis ex centro E, translata ad vtraſque partes dabunt in linea horæ 6. </s>
            <s xml:id="echoid-s19321" xml:space="preserve">puncta, per quæ ſi ex puncto
              <lb/>
            m, vbi horizontalis linea, & </s>
            <s xml:id="echoid-s19322" xml:space="preserve">meridiana ſe interſecant, lineæ occultæ ducantur ſecantes tropicum ♋, in
              <lb/>
            ſuperiori horologio, vel tropicum ♑, in inferiori in punctis, per quæ ſi rurſus ad centrum E, ducantur re-
              <lb/>
            ctæ, & </s>
            <s xml:id="echoid-s19323" xml:space="preserve">ad has ex dictis punctis tropici ducantur lineæ perpendiculares, ſiue tropicum tangentes, deſcri-
              <lb/>
            pta erunt aſcendentia ſigna, vt prius, ordine ſeruato, quem figura commonſtrat.</s>
            <s xml:id="echoid-s19324" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s19325" xml:space="preserve">SATIS autem eſi, ſi ſigna aſcendentia in horologio ſuperiori deſcribantur. </s>
            <s xml:id="echoid-s19326" xml:space="preserve">Hæc enim producta vl-
              <lb/>
              <note position="left" xlink:label="note-0302-01" xlink:href="note-0302-01a" xml:space="preserve">Signa aſcendẽ-
                <lb/>
              tia ſuperioris
                <lb/>
              hor
                <unsure/>
              olog@@ vltra
                <lb/>
              horizontalem
                <lb/>
              lineam produ-
                <lb/>
              ctę dant eadem
                <lb/>
              lig@a in horolo
                <lb/>
              g@o interiori.</note>
            tra lineam horizontalem offerent eadem in inferiori horologio, ſi portio horologii abſciſſa à linea hori-
              <lb/>
            zontali inuertatur, vt in præcedentibus dictum eſt, atq; </s>
            <s xml:id="echoid-s19327" xml:space="preserve">in ſcholio propoſ. </s>
            <s xml:id="echoid-s19328" xml:space="preserve">14. </s>
            <s xml:id="echoid-s19329" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s19330" xml:space="preserve">demonſtratum.</s>
            <s xml:id="echoid-s19331" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
        </div>
        <div xml:id="echoid-div999" type="section" level="1" n="246">
          <head xml:id="echoid-head253" xml:space="preserve">PROBLEMA 58. PROPOSITIO 58.
            <lb/>
          HOROLOGIVM Italicum æquinoctiale conſtruere.</head>
          <note position="left" xml:space="preserve">Horologii Ita-
            <lb/>
          lic@ æquinoctia
            <lb/>
          lis
            <unsure/>
          conſtructio.</note>
          <p>
            <s xml:id="echoid-s19332" xml:space="preserve">PAR ALLELI, ſiue arcus ſignorum (quos deſcripſimus vnà cum linea horizontali, pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s19333" xml:space="preserve">50. </s>
            <s xml:id="echoid-s19334" xml:space="preserve">huius libri) diuidantur ſinguli, vel duo ſaltem, (quod ſatis eſt) interior, & </s>
            <s xml:id="echoid-s19335" xml:space="preserve">exterior, in 24.
              <lb/>
            </s>
            <s xml:id="echoid-s19336" xml:space="preserve">partes æquales, initio facto à linea horizontali ex ea parte, in quam vmbra ſtyli cadit ſub occaſum
              <lb/>
            Solis, vt in horologio ſuperiori ex parte ſiniſtra, quæ ad ortum vergit. </s>
            <s xml:id="echoid-s19337" xml:space="preserve">Deinde per proxima puncta
              <lb/>
            horum arcuum ſupra, vel infra horizontalem lineam ex ſiniſtra parte, vbi diuiſic inchoata eſt, li-
              <lb/>
              <note position="left" xlink:label="note-0302-04" xlink:href="note-0302-04a" xml:space="preserve">20</note>
            nea recta ducatur, itemq́ue per proximè ſequentia puncta, & </s>
            <s xml:id="echoid-s19338" xml:space="preserve">ita deinceps, donec omnia abſoluan-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s19339" xml:space="preserve">Hæ enim rectæ horas ab occaſu indicabunt in horologio ſuperiori, ac proinde horologium
              <lb/>
              <note position="left" xlink:label="note-0302-05" xlink:href="note-0302-05a" xml:space="preserve">Ordo horarum
                <lb/>
              ab occ. in horo
                <lb/>
              logio æquino-
                <lb/>
              ct@ali.</note>
            æquinoctiale Italicum ſuperius deſcriptum erit, in quo horarum numerus, & </s>
            <s xml:id="echoid-s19340" xml:space="preserve">ordo hic eſt. </s>
            <s xml:id="echoid-s19341" xml:space="preserve">Prima,
              <lb/>
            ſeu proxima linea ſupra horizontalem lineam, quæ horam 24. </s>
            <s xml:id="echoid-s19342" xml:space="preserve">indicat, hoc eſt, in horologio no-
              <lb/>
            cturno, (quod exhibet portio abſciſſa à linea horizontali) à parte ſiniſtra monſtrat horam primã
              <lb/>
            ab occaſu, ſequens ſecundam, & </s>
            <s xml:id="echoid-s19343" xml:space="preserve">ſic deinceps, ita vt proxima linea infra eandem lineam horizon-
              <lb/>
            talem ad partem ſiniſtram oſtendat horam 23. </s>
            <s xml:id="echoid-s19344" xml:space="preserve">&</s>
            <s xml:id="echoid-s19345" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19346" xml:space="preserve">Quod hac ratione demonſtrabimus.</s>
            <s xml:id="echoid-s19347" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19348" xml:space="preserve">INTELLIGANTVR circuli maximi duci per polos mundi, & </s>
            <s xml:id="echoid-s19349" xml:space="preserve">per horas ab occaſu in
              <lb/>
              <note position="left" xlink:label="note-0302-06" xlink:href="note-0302-06a" xml:space="preserve">Demonſtratio
                <lb/>
              con@tru@tionis
                <lb/>
              horologu
                <unsure/>
              Itali-
                <lb/>
              ci ęquinoctialis.</note>
            parallelo v. </s>
            <s xml:id="echoid-s19350" xml:space="preserve">g. </s>
            <s xml:id="echoid-s19351" xml:space="preserve">♋, inſtar horariorum circulorum à meridie, vel media nocte, hoc eſt, tranſire per
              <lb/>
              <note position="left" xlink:label="note-0302-07" xlink:href="note-0302-07a" xml:space="preserve">30</note>
              <figure xlink:label="fig-0302-01" xlink:href="fig-0302-01a" number="209">
                <image file="0302-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0302-01"/>
              </figure>
              <note position="left" xlink:label="note-0302-08" xlink:href="note-0302-08a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0302-09" xlink:href="note-0302-09a" xml:space="preserve">50</note>
            ea puncta, in quibus per propoſ. </s>
            <s xml:id="echoid-s19352" xml:space="preserve">10. </s>
            <s xml:id="echoid-s19353" xml:space="preserve">ſuperioris libri Horizon, & </s>
            <s xml:id="echoid-s19354" xml:space="preserve">cæteri circuli horarum ab occaſu
              <lb/>
            parallelum ♋, in partes ęquales ſecan. </s>
            <s xml:id="echoid-s19355" xml:space="preserve">Secabunt hi circuli parallelum quoque ♋, in </s>
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