Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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        <div xml:id="echoid-div660" type="section" level="1" n="225">
          <p>
            <s xml:id="echoid-s12865" xml:space="preserve">
              <pb o="305" file="341" n="342" rhead="Ioan. de Sacro Boſco."/>
            qui tranſit per punctum Verticale Romæ, cuius declinatio ponatur grad. </s>
            <s xml:id="echoid-s12866" xml:space="preserve">41.
              <lb/>
            </s>
            <s xml:id="echoid-s12867" xml:space="preserve">Multiplico ſinum complementi huius declinationis, hoc eſt, ſinum 48. </s>
            <s xml:id="echoid-s12868" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s12869" xml:space="preserve">
              <lb/>
            videlicet 74314. </s>
            <s xml:id="echoid-s12870" xml:space="preserve">per 360. </s>
            <s xml:id="echoid-s12871" xml:space="preserve">productumq; </s>
            <s xml:id="echoid-s12872" xml:space="preserve">numerũ 2753040. </s>
            <s xml:id="echoid-s12873" xml:space="preserve">partior per 100000. </s>
            <s xml:id="echoid-s12874" xml:space="preserve">
              <lb/>
            ſinum totum, & </s>
            <s xml:id="echoid-s12875" xml:space="preserve">inuenio gradus 267 {1/2}. </s>
            <s xml:id="echoid-s12876" xml:space="preserve">fere. </s>
            <s xml:id="echoid-s12877" xml:space="preserve">Habebit igitur Aequator ad pa-
              <lb/>
            rallelum, qui per uerticem Romæ incedit, uel etiam unus gradus Aequatoris
              <lb/>
            ad unũ gradum dicti paralleli, proportionem, quam 360. </s>
            <s xml:id="echoid-s12878" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s12879" xml:space="preserve">ad grad. </s>
            <s xml:id="echoid-s12880" xml:space="preserve">267 {1/2}. </s>
            <s xml:id="echoid-s12881" xml:space="preserve">
              <lb/>
            fere, hoc eſt, fere ſeſquitertiam, qualis eſt 4. </s>
            <s xml:id="echoid-s12882" xml:space="preserve">ad 3. </s>
            <s xml:id="echoid-s12883" xml:space="preserve">&</s>
            <s xml:id="echoid-s12884" xml:space="preserve">c.</s>
            <s xml:id="echoid-s12885" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12886" xml:space="preserve">QVANTA eſt etiam maxima Solis declinatio, ſe
              <unsure/>
            ilicet ab Aequi
              <lb/>
              <note position="right" xlink:label="note-341-01" xlink:href="note-341-01a" xml:space="preserve">Diſtanti@
                <lb/>
              poli zodia-
                <lb/>
              ci à polo
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              mũ di æqua
                <lb/>
              lis eſt maxi
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              mæ Solis
                <lb/>
              declinati@-
                <lb/>
              ni.</note>
            noctiali, tanta eſt diſtantia poli mundi à polo Zodiaci, quod ſic patet. </s>
            <s xml:id="echoid-s12887" xml:space="preserve">Su
              <lb/>
            matur Colurus diſtinguens Solſtitia, quitranſit per polos mundi, & </s>
            <s xml:id="echoid-s12888" xml:space="preserve">per
              <lb/>
            polos Zodiaci Cum igitur omnes quartæ unius, & </s>
            <s xml:id="echoid-s12889" xml:space="preserve">eiuſdem circuli inter
              <lb/>
            ſe ſint æquales, quarta huius Coluri, quę eſt ab Aequinoctiali uſque ad
              <lb/>
            polum mundi, erit æqualis quartæ eiuſdem Coluri, quæ eſt à primo puncto
              <lb/>
            Cancri uſque ad polum Zodiaci. </s>
            <s xml:id="echoid-s12890" xml:space="preserve">Igitur ab illis ęqualibus dempto commu-
              <lb/>
            ni arcu, qui eſt à primo puncto Cancri uſque ad polum mundi, reſidua
              <lb/>
            erunt æqualia, ſcilicet maxima Solis declinatio, & </s>
            <s xml:id="echoid-s12891" xml:space="preserve">diſtantia poli mundi
              <lb/>
            à polo Zodiaci.</s>
            <s xml:id="echoid-s12892" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div665" type="section" level="1" n="226">
          <head xml:id="echoid-head237" xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:id="echoid-s12893" xml:space="preserve">
              <emph style="sc">Probat</emph>
            , tanto ſpatio polos Zo-
              <lb/>
              <figure xlink:label="fig-341-01" xlink:href="fig-341-01a" number="89">
                <image file="341-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/341-01"/>
              </figure>
            diaci à polis mundi recedere, quanta eſt
              <lb/>
            utrauis maxima declinatio Solis: </s>
            <s xml:id="echoid-s12894" xml:space="preserve">Quod
              <lb/>
            quidem demonſtrat eodem modo, quo nos
              <lb/>
            idem oſtendimus in 6. </s>
            <s xml:id="echoid-s12895" xml:space="preserve">officio Colurorum,
              <lb/>
            ut perſpicuũ eſt in hac figura, in qua cir-
              <lb/>
            culus A B C D, eſt Colurus Solſtitiorum;
              <lb/>
            </s>
            <s xml:id="echoid-s12896" xml:space="preserve">A B, quarta ab Aequinoctiali A C, vſque
              <lb/>
              <note position="right" xlink:label="note-341-02" xlink:href="note-341-02a" xml:space="preserve">Quomodo
                <lb/>
              intelligen-
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              dũ ſit, diſtã
                <lb/>
              tiam polo-
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              rũ zodiaci
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              à polis mũ
                <lb/>
              d@ ęqualem
                <lb/>
              eſſe maxi-
                <lb/>
              mæ declina
                <lb/>
              tioni Solis.</note>
            ad mundi polum B; </s>
            <s xml:id="echoid-s12897" xml:space="preserve">E K, quarta à primo
              <lb/>
            puncto ♋, vſque ad polum Zodiaci K;
              <lb/>
            </s>
            <s xml:id="echoid-s12898" xml:space="preserve">A E, maxima Solis declinatio; </s>
            <s xml:id="echoid-s12899" xml:space="preserve">B K, di-
              <lb/>
            ſtantia poli mundi a polo Zodiaci, &</s>
            <s xml:id="echoid-s12900" xml:space="preserve">c.</s>
            <s xml:id="echoid-s12901" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12902" xml:space="preserve">
              <emph style="sc">Qvoniam</emph>
            vero ſupra diximus, maxi-
              <lb/>
            mam Solis declinationem uariari propter
              <lb/>
            motum trepidationis octauæ ſphæræ, efficitur, vt hæc ratio tantum conclu-
              <lb/>
            dat, maximam declinationem Eclipticæ nonæ ſphæræ æqualem eſſe diſtantiæ
              <lb/>
            polorum Eclipticæ eiuſdem ſphæræ a polis mundi, quoniam hæc ſphæra mo-
              <lb/>
            tu trepidationis non citetur. </s>
            <s xml:id="echoid-s12903" xml:space="preserve">Non enim declinatio maxima Solis, cum va-
              <lb/>
            rietur, æqualis eſſe poterit diſtantiæ poli Zodiaci a polo mundi, quæ in nona
              <lb/>
              <note position="right" xlink:label="note-341-03" xlink:href="note-341-03a" xml:space="preserve">Quãtus ſit
                <lb/>
              arcus Colu
                <lb/>
              ri inter tro
                <lb/>
              picum Ca@
                <lb/>
              cri, & circu
                <lb/>
              lum arcti-
                <lb/>
              cum.</note>
            ſphæra ſumitur, permanetq́ue ſemper eadem.</s>
            <s xml:id="echoid-s12904" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12905" xml:space="preserve">CVM autem circulus Arcticus ſecundum quamlibet ſui partem
              <lb/>
            æque diſtet à polo mũdi, patet, quòd illa pars Coluri, quę eſt inter primum
              <lb/>
            punctum Cancri, & </s>
            <s xml:id="echoid-s12906" xml:space="preserve">circulum Arcticum, fere eſt dupla ad maximam </s>
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