Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <p>
            <s xml:id="echoid-s11164" xml:space="preserve">
              <pb o="263" file="299" n="300" rhead="Ioan. de Sacro Boſco."/>
            æſtate: </s>
            <s xml:id="echoid-s11165" xml:space="preserve">Deinde idem fiat circa Solſtitium brumale, donec altitudo Solis Meri-
              <lb/>
            diana minima inueniatur; </s>
            <s xml:id="echoid-s11166" xml:space="preserve">in ea enim Sol maxime declinat ab Aequatore in Au
              <lb/>
            ſtrum. </s>
            <s xml:id="echoid-s11167" xml:space="preserve">Si igitur minimam hanc altitudinem meridianam ex maxima illa detra
              <lb/>
            hamus, & </s>
            <s xml:id="echoid-s11168" xml:space="preserve">reliquos gradus bifariam diuiſerimus, habebimus maximã Solis de-
              <lb/>
            clinationem ex utraq; </s>
            <s xml:id="echoid-s11169" xml:space="preserve">parte Aequatoris, quoniam maxima declinatio Borea-
              <lb/>
            lis, æqualis eſt maximę Auſtrali, ut mox demõſtrabimus, quod & </s>
            <s xml:id="echoid-s11170" xml:space="preserve">auctor dixit.
              <lb/>
            </s>
            <s xml:id="echoid-s11171" xml:space="preserve">EXEMPLVM. </s>
            <s xml:id="echoid-s11172" xml:space="preserve">10. </s>
            <s xml:id="echoid-s11173" xml:space="preserve">Regiomon. </s>
            <s xml:id="echoid-s11174" xml:space="preserve">Viennæ dep@ehendit circa Solſtitium æſti-
              <lb/>
            uum maximam Solis altitudinem meridianam grad. </s>
            <s xml:id="echoid-s11175" xml:space="preserve">65. </s>
            <s xml:id="echoid-s11176" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11177" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11178" xml:space="preserve">Circa ſolſtitiũ
              <lb/>
            vero brumale minimam Solis altitudinem meridianam offendit grad. </s>
            <s xml:id="echoid-s11179" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11180" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11181" xml:space="preserve">
              <lb/>
            30. </s>
            <s xml:id="echoid-s11182" xml:space="preserve">qua ablata à priori, remanent grad. </s>
            <s xml:id="echoid-s11183" xml:space="preserve">47. </s>
            <s xml:id="echoid-s11184" xml:space="preserve">quorum medietas dabit maximam
              <lb/>
            Solis declinationem gra. </s>
            <s xml:id="echoid-s11185" xml:space="preserve">23. </s>
            <s xml:id="echoid-s11186" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11187" xml:space="preserve">30 Porrò vtriq; </s>
            <s xml:id="echoid-s11188" xml:space="preserve">altitudini meridianæ, & </s>
            <s xml:id="echoid-s11189" xml:space="preserve">ma-
              <lb/>
            ximæ & </s>
            <s xml:id="echoid-s11190" xml:space="preserve">minimæ captandæ aptiſſimum erit inſtrumentum. </s>
            <s xml:id="echoid-s11191" xml:space="preserve">Quadrans eximiæ
              <lb/>
            magnitudinis, ut in eo etiam minuta graduum deſignari queant, in quo linea
              <lb/>
            fiducię circumuoluatur circa eius centrũ. </s>
            <s xml:id="echoid-s11192" xml:space="preserve">Si. </s>
            <s xml:id="echoid-s11193" xml:space="preserve">n. </s>
            <s xml:id="echoid-s11194" xml:space="preserve">hic quadrans in plano, quod Ho
              <lb/>
            rizonti ęquidiſtet, ita ſtatuatur, ut rectus illi plano inſiſtat, & </s>
            <s xml:id="echoid-s11195" xml:space="preserve">unum latus eius
              <lb/>
            directe lineæ meridianæ reſpondeat, centrumq́; </s>
            <s xml:id="echoid-s11196" xml:space="preserve">eiuſdem Boreã reſpiciat, facil
              <lb/>
            limo negotio dictæ altitudines meridianæ reperientur. </s>
            <s xml:id="echoid-s11197" xml:space="preserve">Conſtur ctionem huius
              <lb/>
            quadrãtis inuenies apud Orontium Delphinatem in ſphæra, quã conſcripſit.</s>
            <s xml:id="echoid-s11198" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11199" xml:space="preserve">
              <emph style="sc">Cognita</emph>
            maxima Solis declinatione, veniemus per doctrinam ſinuum in
              <lb/>
            notitiam declinationum omnium punctorum eclipticæ. </s>
            <s xml:id="echoid-s11200" xml:space="preserve">Quoniam enim, ut à
              <lb/>
            nobis demonſtratum eſt in coroll. </s>
            <s xml:id="echoid-s11201" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s11202" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11203" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11204" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11205" xml:space="preserve">noſtræ Gnomonices, & </s>
            <s xml:id="echoid-s11206" xml:space="preserve">alibi.
              <lb/>
            </s>
            <s xml:id="echoid-s11207" xml:space="preserve">
              <note position="right" xlink:label="note-299-01" xlink:href="note-299-01a" xml:space="preserve">Qua arte
                <lb/>
              declinatio-
                <lb/>
              nes puncto
                <lb/>
              rum eclipti-
                <lb/>
              cę ſuppurem
                <lb/>
              tur.</note>
            Item à Ioan. </s>
            <s xml:id="echoid-s11208" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s11209" xml:space="preserve">in Epit. </s>
            <s xml:id="echoid-s11210" xml:space="preserve">Almag. </s>
            <s xml:id="echoid-s11211" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11212" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11213" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s11214" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11215" xml:space="preserve">Item à Gebro Hiſpalenſi
              <lb/>
            lib. </s>
            <s xml:id="echoid-s11216" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11217" xml:space="preserve">& </s>
            <s xml:id="echoid-s11218" xml:space="preserve">à Petro Nonio Luſitano propoſ. </s>
            <s xml:id="echoid-s11219" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11220" xml:space="preserve">ſecundæ partis de crepuſculis; </s>
            <s xml:id="echoid-s11221" xml:space="preserve">Sicut
              <lb/>
            ſe habet ſinus totus ad ſinum maximæ declinationis, ita ſe habet, ſinus arcus,
              <lb/>
            quo diſtat punctum eclipticæ datum ab alterutro punctorum æquinoctialium
              <lb/>
            ad ſiaum declinationis eiuſdem puncti: </s>
            <s xml:id="echoid-s11222" xml:space="preserve">ſi iuxta regulam proportionum, mul-
              <lb/>
            tiplicetur ſinus maximæ declinationis in ſinum arcus, quo datũ punctum ecli-
              <lb/>
            pticæ ab alterutro punctorum æquinoctialium remouetur, nempe à viciniori,
              <lb/>
            & </s>
            <s xml:id="echoid-s11223" xml:space="preserve">numerus productus per ſinum totum diuidatur (quod fiet, reijciendo à pro-
              <lb/>
            ducto numero quinque figuras ad manum dextram; </s>
            <s xml:id="echoid-s11224" xml:space="preserve">ſumimus enim nunc ſinũ
              <lb/>
            totum eſſe particularum 100000.) </s>
            <s xml:id="echoid-s11225" xml:space="preserve">proueniet ſinus, cuius arcus inuentus ex ta-
              <lb/>
            bula ſinuum offeret illico declinationem puncti propoſiti. </s>
            <s xml:id="echoid-s11226" xml:space="preserve">EXEMPLVM.
              <lb/>
            </s>
            <s xml:id="echoid-s11227" xml:space="preserve">Poſita declinatione maxima Solis grad. </s>
            <s xml:id="echoid-s11228" xml:space="preserve">23. </s>
            <s xml:id="echoid-s11229" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11230" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11231" xml:space="preserve">libet perueſtigare declina-
              <lb/>
            tionem octaui grad. </s>
            <s xml:id="echoid-s11232" xml:space="preserve">♍, qui quidem recedit ab æquinoctio autumnali grad. </s>
            <s xml:id="echoid-s11233" xml:space="preserve">22. </s>
            <s xml:id="echoid-s11234" xml:space="preserve">
              <lb/>
            Multiplico igitur ſinum maximæ declinationis poſitæ, nempe 39874. </s>
            <s xml:id="echoid-s11235" xml:space="preserve">in ſinum
              <lb/>
            diſtantiæ propoſitæ, hoc eſt, grad. </s>
            <s xml:id="echoid-s11236" xml:space="preserve">22. </s>
            <s xml:id="echoid-s11237" xml:space="preserve">uidelicet in 37460. </s>
            <s xml:id="echoid-s11238" xml:space="preserve">produceturq́; </s>
            <s xml:id="echoid-s11239" xml:space="preserve">nume-
              <lb/>
            rus 1493680040. </s>
            <s xml:id="echoid-s11240" xml:space="preserve">a quo reiectis quinque ſiguris ex parte dextra, remanebit ſi-
              <lb/>
            nus 14936. </s>
            <s xml:id="echoid-s11241" xml:space="preserve">cui in tabula ſinuum reſpondet arcus grad. </s>
            <s xml:id="echoid-s11242" xml:space="preserve">8. </s>
            <s xml:id="echoid-s11243" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11244" xml:space="preserve">35. </s>
            <s xml:id="echoid-s11245" xml:space="preserve">Tantam igitur
              <lb/>
            dicemus eſſe declinationem octaui gradus ♍. </s>
            <s xml:id="echoid-s11246" xml:space="preserve">Et ſic de cæteris.</s>
            <s xml:id="echoid-s11247" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11248" xml:space="preserve">
              <emph style="sc">Hac</emph>
            arte ſupputauimus ſequentem tabulam, in quo continentur decli-
              <lb/>
            nationes omnium graduum Zodiaci, unà cùm duodecimis partibus graduum:
              <lb/>
            </s>
            <s xml:id="echoid-s11249" xml:space="preserve">ita ut rabula per quinta minuta graduum ſit extenſa. </s>
            <s xml:id="echoid-s11250" xml:space="preserve">Quoniam uero, ut ſupra
              <lb/>
            diximus, in Zodiaco ſemper reperiuntur quaterna puncta, quæ habent ęquales
              <lb/>
            declinationes, ſatis erit, ſi computentur declinationes omnium graduum, & </s>
            <s xml:id="echoid-s11251" xml:space="preserve">
              <lb/>
            minutorum unius quadrantis. </s>
            <s xml:id="echoid-s11252" xml:space="preserve">Nam puncta aliorum trium Quadrantum facile
              <lb/>
            huius Quadrantis partibus accommodabuntur, ut in ſphæra materiali uidere
              <lb/>
            licet, & </s>
            <s xml:id="echoid-s11253" xml:space="preserve">perſpicuum eſſe poteſt in ſubſequenti tabula.</s>
            <s xml:id="echoid-s11254" xml:space="preserve"/>
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