Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <p>
            <s xml:id="echoid-s12152" xml:space="preserve">
              <pb o="293" file="329" n="330" rhead="Ioan. de Sacro Boſco."/>
            quaſcunque duas ſtellas Firmamẽti, dummodo loco Meridiani accipiatur cir
              <lb/>
            culus longitudinis ſtellarum, qui nimirum incedit per polos eclipticę, vt per-
              <lb/>
            ſpicuum eſt. </s>
            <s xml:id="echoid-s12153" xml:space="preserve">Verum de his, & </s>
            <s xml:id="echoid-s12154" xml:space="preserve">de longitudine, latitudineque ci@itatum plura
              <lb/>
            diximusin Coſmographia: </s>
            <s xml:id="echoid-s12155" xml:space="preserve">Satis eſt, hoc loco pauca hæc attigiſſe.</s>
            <s xml:id="echoid-s12156" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12157" xml:space="preserve">
              <emph style="sc">Sed</emph>
            omniũ commodiſſima via eſt, & </s>
            <s xml:id="echoid-s12158" xml:space="preserve">facillima per globum Coſmographi-
              <lb/>
            cum, ſi adſit, accuratè delineatum. </s>
            <s xml:id="echoid-s12159" xml:space="preserve">Nam ſi circino incuruo ſumatur in eo diſtan
              <lb/>
            tia unius loci ab altero, & </s>
            <s xml:id="echoid-s12160" xml:space="preserve">hæc in Aequinoctialem circulum transferatur, il-
              <lb/>
            lico gradus inter pedes circini indicabunt, diſtantiam vnius loci ab altero.</s>
            <s xml:id="echoid-s12161" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12162" xml:space="preserve">
              <emph style="sc">Non</emph>
            tamẽ abs re erit, ex omnibus mo dis illum hoc loco adducere, quẽ
              <lb/>
            Petrus Nonius lib. </s>
            <s xml:id="echoid-s12163" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12164" xml:space="preserve">de arte nauigandi, demonſtrauit, & </s>
            <s xml:id="echoid-s12165" xml:space="preserve">quem clarius nos in
              <lb/>
            Coſmographia, demonſtrabim us. </s>
            <s xml:id="echoid-s12166" xml:space="preserve">Is autem eſt eiuſmodi. </s>
            <s xml:id="echoid-s12167" xml:space="preserve">Quando duo loca da
              <lb/>
              <note position="right" xlink:label="note-329-01" xlink:href="note-329-01a" xml:space="preserve">Quo pacto
                <lb/>
              ex ſinubus
                <lb/>
              interuallũ
                <lb/>
              itinerariũ
                <lb/>
              inter duo
                <lb/>
              loca inuc-
                <lb/>
              niatur.</note>
            ta fuerint borealia, uel auſtralia; </s>
            <s xml:id="echoid-s12168" xml:space="preserve">Fiat, vt quadratum ſinus totius ad rectangulũ
              <lb/>
            contentum ſub ſinubus complementorum latitudinum locorũ, ita ſinus uer-
              <lb/>
            ſus differentiæ longitudinum eorundem locorum (quæ differentia, ſi ſemicir-
              <lb/>
            culum ſuperet, detrahenda eſt ex toto circulo, & </s>
            <s xml:id="echoid-s12169" xml:space="preserve">eius, quod reliquũ eſt, ſinus
              <lb/>
            verſus accipiendus, tanquã differentiæ longitudinũ breuioris, hoc eſt, breuio-
              <lb/>
            ris diſtantiæ inter Meridianos datorũ locorum) ad aliud. </s>
            <s xml:id="echoid-s12170" xml:space="preserve">Inuenietur enim nu-
              <lb/>
            merus, ex quo diſtantiã locorum inueſtigabimus hac induſtria. </s>
            <s xml:id="echoid-s12171" xml:space="preserve">Conferatur nu
              <lb/>
            merus inuentus cum ſinu complementi differẽtię latitudinum datorum, loco
              <lb/>
            rum. </s>
            <s xml:id="echoid-s12172" xml:space="preserve">Nã ſi inuentus numerus æqualis fuerit ſinui illius complementi, comple-
              <lb/>
            ctetur diſtãtia locorum Quadrantem circuli maximi; </s>
            <s xml:id="echoid-s12173" xml:space="preserve">At vero ſi minor fuerit,
              <lb/>
            detracto hoc ex illo, relinquetur ſinus complementi diſtantiæ locorum; </s>
            <s xml:id="echoid-s12174" xml:space="preserve">atq.
              <lb/>
            </s>
            <s xml:id="echoid-s12175" xml:space="preserve">adeo ſi complementum hoc ex quadrante dematur, reliqua erit locorũ diſtan
              <lb/>
            tia: </s>
            <s xml:id="echoid-s12176" xml:space="preserve">Si denique numerus inuentus maior fuerit ſinu complementi differentiæ
              <lb/>
            latitudinum datorum locorum, detracto hoc ex illo, reliquus erit ſinus, cuius
              <lb/>
            arcus Quadranti adiectus dabit itinerariam diſtantiã propoſitorum locorum. </s>
            <s xml:id="echoid-s12177" xml:space="preserve">
              <lb/>
            Quando autem unus locus borealis fuerit, & </s>
            <s xml:id="echoid-s12178" xml:space="preserve">auſtralis alter, accipiendus erit lo
              <lb/>
            cus per diametrum uni eorum oppoſitus, qui eandem habeat latitudinem, li-
              <lb/>
            cet oppoſitam, ut habeãtur duo loca eiuſdem denominationis, borealia nimi-
              <lb/>
            rum, uel auſtrlia: </s>
            <s xml:id="echoid-s12179" xml:space="preserve">Deinde in quirendum, ut docuimus, itinerariũ interuallum
              <lb/>
            inter hęc duo loca eiuſdẽ denominationis, dummodo loco differentiæ longi
              <lb/>
            tudinum datorum locorum ſumatur id, quod relinquitur, ſi ea differe@tia ex
              <lb/>
            ſemicirculo detrahatur, ut habeatur differentia longitudinũ illorum duorum
              <lb/>
            locorum eiuſdẽ denominationis. </s>
            <s xml:id="echoid-s12180" xml:space="preserve">Nã ſi hoc interuallũ itinerarium ſubducatur
              <lb/>
            ex ſemicirculo, nota relinquetur diſtãtia datorũ locorũ, quorum nnus borealis
              <lb/>
            eſt, & </s>
            <s xml:id="echoid-s12181" xml:space="preserve">alter auſtralis. </s>
            <s xml:id="echoid-s12182" xml:space="preserve">Sed exempla nonnulla proponamus, vt res planior fiat.</s>
            <s xml:id="echoid-s12183" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12184" xml:space="preserve">
              <emph style="sc">Explorandvm</emph>
            ſit ſpatiũ itinerarium inter Romam, cuius longitu-
              <lb/>
            do continet grad. </s>
            <s xml:id="echoid-s12185" xml:space="preserve">36. </s>
            <s xml:id="echoid-s12186" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12187" xml:space="preserve">30. </s>
            <s xml:id="echoid-s12188" xml:space="preserve">latitudo uero borealis grad. </s>
            <s xml:id="echoid-s12189" xml:space="preserve">41. </s>
            <s xml:id="echoid-s12190" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12191" xml:space="preserve">56. </s>
            <s xml:id="echoid-s12192" xml:space="preserve">& </s>
            <s xml:id="echoid-s12193" xml:space="preserve">Con-
              <lb/>
            ſtantinopolim, cuius longitudo cõplectitur grad. </s>
            <s xml:id="echoid-s12194" xml:space="preserve">56. </s>
            <s xml:id="echoid-s12195" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12196" xml:space="preserve">o. </s>
            <s xml:id="echoid-s12197" xml:space="preserve">latitudo uero bo-
              <lb/>
            realis quoq; </s>
            <s xml:id="echoid-s12198" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s12199" xml:space="preserve">43. </s>
            <s xml:id="echoid-s12200" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12201" xml:space="preserve">5. </s>
            <s xml:id="echoid-s12202" xml:space="preserve">Fiat, ut 10000000000. </s>
            <s xml:id="echoid-s12203" xml:space="preserve">quadratũ ſinus totius ad
              <lb/>
            5433294112. </s>
            <s xml:id="echoid-s12204" xml:space="preserve">rectangulum contentum ſub 74392. </s>
            <s xml:id="echoid-s12205" xml:space="preserve">ſinu complementi latitudi
              <lb/>
            nis grad. </s>
            <s xml:id="echoid-s12206" xml:space="preserve">41. </s>
            <s xml:id="echoid-s12207" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12208" xml:space="preserve">56. </s>
            <s xml:id="echoid-s12209" xml:space="preserve">& </s>
            <s xml:id="echoid-s12210" xml:space="preserve">ſub 73036. </s>
            <s xml:id="echoid-s12211" xml:space="preserve">ſinu cõplementi latitudinis grad. </s>
            <s xml:id="echoid-s12212" xml:space="preserve">43. </s>
            <s xml:id="echoid-s12213" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12214" xml:space="preserve">5.
              <lb/>
            </s>
            <s xml:id="echoid-s12215" xml:space="preserve">ita 5736. </s>
            <s xml:id="echoid-s12216" xml:space="preserve">ſinus uerſus differentiæ longitudinũ, quæ comprehẽdit grad. </s>
            <s xml:id="echoid-s12217" xml:space="preserve">19. </s>
            <s xml:id="echoid-s12218" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s12219" xml:space="preserve">
              <lb/>
            30. </s>
            <s xml:id="echoid-s12220" xml:space="preserve">ad aliud, inuenieturq́. </s>
            <s xml:id="echoid-s12221" xml:space="preserve">hic fere numerus 3116. </s>
            <s xml:id="echoid-s12222" xml:space="preserve">quẽ, quoniã minor eſt, quã
              <lb/>
            99979. </s>
            <s xml:id="echoid-s12223" xml:space="preserve">ſinus complementi differẽtiæ latitudinũ datorum locotũ, quæ comple
              <lb/>
            ctitur gr. </s>
            <s xml:id="echoid-s12224" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12225" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12226" xml:space="preserve">9. </s>
            <s xml:id="echoid-s12227" xml:space="preserve">auferemus ex 99979. </s>
            <s xml:id="echoid-s12228" xml:space="preserve">ſinu complemẽti differẽtiæ latitudinũ
              <lb/>
            locorũ, remanebuntq́. </s>
            <s xml:id="echoid-s12229" xml:space="preserve">96863. </s>
            <s xml:id="echoid-s12230" xml:space="preserve">pro ſinu complementi diſtantiæ datorũ locorũ,
              <lb/>
            Continebit ergo complementũ hoc gr. </s>
            <s xml:id="echoid-s12231" xml:space="preserve">75. </s>
            <s xml:id="echoid-s12232" xml:space="preserve">min. </s>
            <s xml:id="echoid-s12233" xml:space="preserve">37. </s>
            <s xml:id="echoid-s12234" xml:space="preserve">atque adeo diſtantia gr. </s>
            <s xml:id="echoid-s12235" xml:space="preserve">14.</s>
            <s xml:id="echoid-s12236" xml:space="preserve"/>
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