Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

Table of contents

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[191.] IIII.
[192.] VSVS TABVLAE DECLINATIONVM.
[193.] VI.
[194.] VII.
[195.] VIII.
[196.] DE MERIDIANO.
[197.] COMMENTARIVS.
[198.] COMMENTARIVS.
[199.] COMMENTARIVS.
[200.] OFFICIA MERIDIANI. I.
[201.] II.
[202.] III.
[203.] IIII.
[205.] VI.
[206.] VII.
[207.] VIII.
[208.] SEQVITVR TABVLA LONGITV DINVM, & latitudinem Ciuitatum.
[209.] QVOMODO INVESTIG AND A SIT DIST AN-tiu duarum ciuitatum inter ſe, quarum utriuſque longitudo, atque latitudo explorata habeatur.
[210.] DEHORIZONTE.
[211.] COMMENTARIVS.
[212.] COMMENTARIVS.
[213.] SCHEMA ORIZONTIS RECTI ET OBLIQVI.
[214.] COMMENTARIVS.
[215.] OFFICIA HORIZONTIS. I.
[216.] II.
[217.] III.
[218.] IIII.
[220.] VI.
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          <p>
            <s xml:id="echoid-s11265" xml:space="preserve">
              <pb o="273" file="309" n="310" rhead="Ioan. de Sacro Boſco."/>
            parte tabulæ) & </s>
            <s xml:id="echoid-s11266" xml:space="preserve">in cõmuni angulo ſub ♏. </s>
            <s xml:id="echoid-s11267" xml:space="preserve">reperio grad. </s>
            <s xml:id="echoid-s11268" xml:space="preserve">16. </s>
            <s xml:id="echoid-s11269" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11270" xml:space="preserve">57. </s>
            <s xml:id="echoid-s11271" xml:space="preserve">Tãtã igitur
              <lb/>
            pronuncio eſſe declinationẽ grad. </s>
            <s xml:id="echoid-s11272" xml:space="preserve">17. </s>
            <s xml:id="echoid-s11273" xml:space="preserve">♏. </s>
            <s xml:id="echoid-s11274" xml:space="preserve">Itẽ inueſtigandum ſit, quantam ha-
              <lb/>
            beat declinationẽ grad. </s>
            <s xml:id="echoid-s11275" xml:space="preserve">23. </s>
            <s xml:id="echoid-s11276" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11277" xml:space="preserve">40. </s>
            <s xml:id="echoid-s11278" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s11279" xml:space="preserve">Quoniã igitur hoc ſignum eſt in parte
              <lb/>
            tabulæ inferiori, inuenio in parte dextra dicto gradui 23. </s>
            <s xml:id="echoid-s11280" xml:space="preserve">& </s>
            <s xml:id="echoid-s11281" xml:space="preserve">40. </s>
            <s xml:id="echoid-s11282" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11283" xml:space="preserve">ſupra ſi-
              <lb/>
            gnum ♋, reſpondere grad. </s>
            <s xml:id="echoid-s11284" xml:space="preserve">21. </s>
            <s xml:id="echoid-s11285" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11286" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11287" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s11288" xml:space="preserve">tanta eſt declinatio quęſita. </s>
            <s xml:id="echoid-s11289" xml:space="preserve">Quod
              <lb/>
            ſi minuta propoſita non reperiantur in tabula prædicta,@ſumendæ erunt decli-
              <lb/>
            nationes minutorum proxime maiorũ, & </s>
            <s xml:id="echoid-s11290" xml:space="preserve">proximæ minorum, & </s>
            <s xml:id="echoid-s11291" xml:space="preserve">per earũ diffe
              <lb/>
            rentiam elicienda pars proportionalis, quę adijciẽda quidem erit declinationi
              <lb/>
            minutorũ proxime minorũ, ſi ſignũ propoſitũ fuerit ſuperius: </s>
            <s xml:id="echoid-s11292" xml:space="preserve">detrahenda vero
              <lb/>
            ab eadẽ declinatione minutorum proxime minorum, ſi ſignum inferius fuerit.</s>
            <s xml:id="echoid-s11293" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11294" xml:space="preserve">
              <emph style="sc">Exemplvm</emph>
            utriuſque. </s>
            <s xml:id="echoid-s11295" xml:space="preserve">Volò declinationũ grad. </s>
            <s xml:id="echoid-s11296" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11297" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11298" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11299" xml:space="preserve">ſigni ♊. </s>
            <s xml:id="echoid-s11300" xml:space="preserve">Quouiã
              <lb/>
            igitur min. </s>
            <s xml:id="echoid-s11301" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11302" xml:space="preserve">non reperiuntur in dicta tabula, accipio differentiam declina-
              <lb/>
            tionum, quas habent min. </s>
            <s xml:id="echoid-s11303" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11304" xml:space="preserve">& </s>
            <s xml:id="echoid-s11305" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11306" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11307" xml:space="preserve">quarti gradus ſigni ♊, quę differentia
              <lb/>
            continet min. </s>
            <s xml:id="echoid-s11308" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11309" xml:space="preserve">& </s>
            <s xml:id="echoid-s11310" xml:space="preserve">per regulam proportionum inuenio minutis 2 (quibus mi-
              <lb/>
            nuta 25. </s>
            <s xml:id="echoid-s11311" xml:space="preserve">ſuperantur à minutis 27.) </s>
            <s xml:id="echoid-s11312" xml:space="preserve">reſpondere minuta {2/1}. </s>
            <s xml:id="echoid-s11313" xml:space="preserve">hoc eſt, Sec. </s>
            <s xml:id="echoid-s11314" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11315" xml:space="preserve">quan
              <lb/>
            doquidem minutis 3.) </s>
            <s xml:id="echoid-s11316" xml:space="preserve">quibus minuta 25. </s>
            <s xml:id="echoid-s11317" xml:space="preserve">ſuperantur à minutis 30. </s>
            <s xml:id="echoid-s11318" xml:space="preserve">reſpondet
              <lb/>
            minutum 1. </s>
            <s xml:id="echoid-s11319" xml:space="preserve">differentiæ. </s>
            <s xml:id="echoid-s11320" xml:space="preserve">Et quia ſignum ♊, eſt ſuperius, adijcienda erunt Sec.
              <lb/>
            </s>
            <s xml:id="echoid-s11321" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11322" xml:space="preserve">declinationi grad. </s>
            <s xml:id="echoid-s11323" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11324" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11325" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11326" xml:space="preserve">♊, quæ continet grad. </s>
            <s xml:id="echoid-s11327" xml:space="preserve">21. </s>
            <s xml:id="echoid-s11328" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11329" xml:space="preserve">5. </s>
            <s xml:id="echoid-s11330" xml:space="preserve">Atque ita
              <lb/>
            declinatio grad. </s>
            <s xml:id="echoid-s11331" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11332" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11333" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11334" xml:space="preserve">ſigni ♊, complectetur grad. </s>
            <s xml:id="echoid-s11335" xml:space="preserve">21. </s>
            <s xml:id="echoid-s11336" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11337" xml:space="preserve">5. </s>
            <s xml:id="echoid-s11338" xml:space="preserve">Sec. </s>
            <s xml:id="echoid-s11339" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11340" xml:space="preserve">Pari
              <lb/>
            ratione uolo declinationem grad. </s>
            <s xml:id="echoid-s11341" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11342" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11343" xml:space="preserve">32. </s>
            <s xml:id="echoid-s11344" xml:space="preserve">ſigni ♑. </s>
            <s xml:id="echoid-s11345" xml:space="preserve">Quoniam igitur ſignum
              <lb/>
            propoſitum eſt, inferius detraho eandem partem proportionalem, uidelicet
              <lb/>
            Sec. </s>
            <s xml:id="echoid-s11346" xml:space="preserve">24. </s>
            <s xml:id="echoid-s11347" xml:space="preserve">ex declinatione grad. </s>
            <s xml:id="echoid-s11348" xml:space="preserve">25. </s>
            <s xml:id="echoid-s11349" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11350" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11351" xml:space="preserve">♑, hoc eſt, ex grad. </s>
            <s xml:id="echoid-s11352" xml:space="preserve">21. </s>
            <s xml:id="echoid-s11353" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11354" xml:space="preserve">6. </s>
            <s xml:id="echoid-s11355" xml:space="preserve">remane-
              <lb/>
            bitque declinttio propoſita graduum 21. </s>
            <s xml:id="echoid-s11356" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11357" xml:space="preserve">5. </s>
            <s xml:id="echoid-s11358" xml:space="preserve">Sec. </s>
            <s xml:id="echoid-s11359" xml:space="preserve">36.</s>
            <s xml:id="echoid-s11360" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11361" xml:space="preserve">
              <emph style="sc">Porro</emph>
            maxima Solis de
              <lb/>
              <figure xlink:label="fig-309-01" xlink:href="fig-309-01a" number="81">
                <image file="309-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/309-01"/>
              </figure>
              <note position="right" xlink:label="note-309-01" xlink:href="note-309-01a" xml:space="preserve">Maximam
                <lb/>
              Solis decli-
                <lb/>
              nationem
                <lb/>
              boreã ęqu@
                <lb/>
              lẽ eſſe ma-
                <lb/>
              ximę decl@
                <lb/>
              nationi So-
                <lb/>
              lis auſtrali</note>
            clinatio Borea ęqualis eſt
              <lb/>
            maximę declinationi Auſtra
              <lb/>
            li, ut auctor dixit; </s>
            <s xml:id="echoid-s11362" xml:space="preserve">qđ quidẽ
              <lb/>
            facile hac rõne demonſtrari
              <lb/>
            poteſt. </s>
            <s xml:id="echoid-s11363" xml:space="preserve">Sumatur aliqua ſphæ
              <lb/>
            ra, in qua Colurus Solſtitio-
              <lb/>
            rũ ſit ABCD; </s>
            <s xml:id="echoid-s11364" xml:space="preserve">Æquator AC;
              <lb/>
            </s>
            <s xml:id="echoid-s11365" xml:space="preserve">Zodiacus ſiue Ecliptica EI; </s>
            <s xml:id="echoid-s11366" xml:space="preserve">
              <lb/>
            Tropicus ♋, FG; </s>
            <s xml:id="echoid-s11367" xml:space="preserve">Tropicus
              <lb/>
            ♑, HI; </s>
            <s xml:id="echoid-s11368" xml:space="preserve">Maximæ Solis decli-
              <lb/>
            nationes, AF, Borea, CI, Au-
              <lb/>
            @trina. </s>
            <s xml:id="echoid-s11369" xml:space="preserve">Quoniã igitur ſemicir
              <lb/>
            culus ABC, ſemicirculo FBI,
              <lb/>
            ęqualis eſt; </s>
            <s xml:id="echoid-s11370" xml:space="preserve">dẽpto cõi arcu-
              <lb/>
            EBC, erit AF, maxima Solis
              <lb/>
            declinatio Borea æqualis ar-
              <lb/>
            cui CI, hoc eſt, maximæ de-
              <lb/>
            clinationi Solis Auſtrinę,
              <lb/>
            quod eſt propoſitum.</s>
            <s xml:id="echoid-s11371" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div577" type="section" level="1" n="193">
          <head xml:id="echoid-head202" xml:space="preserve">VI.</head>
          <note position="right" xml:space="preserve">Colur@ ſol.
            <lb/>
          ſtitiorũ m@
            <lb/>
          titur diſtã-
            <lb/>
          tias polorũ
            <lb/>
          Zodiaci à
            <lb/>
          polis mũ@i.</note>
          <p>
            <s xml:id="echoid-s11372" xml:space="preserve">
              <emph style="sc">Solstitiorvm</emph>
            Colurus menſurat quoque diſtantias polorum
              <lb/>
            Zodiaci à polis mundi. </s>
            <s xml:id="echoid-s11373" xml:space="preserve">Eſt enim hæc diſtantia tanta, quantus eſt arcus Colu-
              <lb/>
            ri Solſtitiorum inter duos polos, nempe polum mundi, & </s>
            <s xml:id="echoid-s11374" xml:space="preserve">polum Zodiaci, in-
              <lb/>
            terceptus. </s>
            <s xml:id="echoid-s11375" xml:space="preserve">Sunt autem duę hæ diſtantię polorum Zodiaci à mundi polis </s>
          </p>
        </div>
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