Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

Table of Notes

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        <div xml:id="echoid-div99" type="section" level="1" n="54">
          <p>
            <s xml:id="echoid-s3417" xml:space="preserve">
              <pb file="0054" n="54" rhead="GENVINVS VSVS"/>
            ſeruatum, & </s>
            <s xml:id="echoid-s3418" xml:space="preserve">proueniet diſtantia Solis horizontalis meridionalis, id eſt ab ortu æquato-
              <lb/>
            ris uerſus meridiem connumerando.</s>
            <s xml:id="echoid-s3419" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div101" type="section" level="1" n="55">
          <head xml:id="echoid-head59" xml:space="preserve">PRONVNCIATVM XLIII.</head>
          <p>
            <s xml:id="echoid-s3420" xml:space="preserve">Diſtantiam Solis horizontalem à circulo uerticali diuerſa ratione indaga
              <lb/>
            re, ſed eiuſmodi quę ad oẽs ſtellas fixas & </s>
            <s xml:id="echoid-s3421" xml:space="preserve">erroneas queat cõmode adhiberi.</s>
            <s xml:id="echoid-s3422" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3423" xml:space="preserve">Primum omnium hic duc ſinum complementi declinationis Solis in ſinum diſtantiæ
              <lb/>
            Solis à meridiano. </s>
            <s xml:id="echoid-s3424" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s3425" xml:space="preserve">in æquatore, ſemper pro 4. </s>
            <s xml:id="echoid-s3426" xml:space="preserve">bora 15. </s>
            <s xml:id="echoid-s3427" xml:space="preserve">gradus cõputando, productum
              <lb/>
            diuide in ſinum totũ, & </s>
            <s xml:id="echoid-s3428" xml:space="preserve">quotientẽ ſepone ante te ſeorſim. </s>
            <s xml:id="echoid-s3429" xml:space="preserve">(eum inuenire didiciſti etiã pro
              <lb/>
              <note position="left" xlink:label="note-0054-01" xlink:href="note-0054-01a" xml:space="preserve">
                <emph style="it">Lateraliter</emph>
              </note>
            nunc. </s>
            <s xml:id="echoid-s3430" xml:space="preserve">31. </s>
            <s xml:id="echoid-s3431" xml:space="preserve">ſiquidem diſtantia eſt Solis ab interſectione æquatoris & </s>
            <s xml:id="echoid-s3432" xml:space="preserve">horizõtis) quũ arcus
              <lb/>
            eius inquiris, appone etiam ſinũ cõplementi altitudinis solis, minorem duc in ſinum to
              <lb/>
              <note position="left" xlink:label="note-0054-02" xlink:href="note-0054-02a" xml:space="preserve">
                <emph style="it">Areatim.</emph>
              </note>
            tum, productũ diuide in maiorem, quotientis arcus ex 90. </s>
            <s xml:id="echoid-s3433" xml:space="preserve">ſubtractus, relinquet diſtãtiam
              <lb/>
            Solis horizontalem quæſitam. </s>
            <s xml:id="echoid-s3434" xml:space="preserve">?</s>
            <s xml:id="echoid-s3435" xml:space="preserve">? Exemplũ habe tibi huiuſmodi. </s>
            <s xml:id="echoid-s3436" xml:space="preserve">In ipſo die introni-
              <lb/>
              <note position="left" xlink:label="note-0054-03" xlink:href="note-0054-03a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoo
                  <unsure/>
                pi</emph>
              .</note>
            zationis fuit Sol in 2. </s>
            <s xml:id="echoid-s3437" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3438" xml:space="preserve">26. </s>
            <s xml:id="echoid-s3439" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3440" xml:space="preserve">II, intronizatio autem facta eſt hora 9. </s>
            <s xml:id="echoid-s3441" xml:space="preserve">ante meridiem,
              <lb/>
            declinatio Solis 20. </s>
            <s xml:id="echoid-s3442" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3443" xml:space="preserve">42. </s>
            <s xml:id="echoid-s3444" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3445" xml:space="preserve">ſicut in 5. </s>
            <s xml:id="echoid-s3446" xml:space="preserve">pronunc. </s>
            <s xml:id="echoid-s3447" xml:space="preserve">uidiſti, complementum eius 89. </s>
            <s xml:id="echoid-s3448" xml:space="preserve">gra.
              <lb/>
            </s>
            <s xml:id="echoid-s3449" xml:space="preserve">18. </s>
            <s xml:id="echoid-s3450" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3451" xml:space="preserve">ſinum ita  huius complementi 93544. </s>
            <s xml:id="echoid-s3452" xml:space="preserve">duco in ſinum diſtantiæ Solis à meridia
              <lb/>
            no, quæ eſt 45. </s>
            <s xml:id="echoid-s3453" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3454" xml:space="preserve">(quoniã hora 9. </s>
            <s xml:id="echoid-s3455" xml:space="preserve">ante meridiem facit horas 3. </s>
            <s xml:id="echoid-s3456" xml:space="preserve">ante meridiem) ſcilicet
              <lb/>
            70710. </s>
            <s xml:id="echoid-s3457" xml:space="preserve">productũ ſi diuidam in totum ſinum, ꝓueniunt in quotiente 66145. </s>
            <s xml:id="echoid-s3458" xml:space="preserve">quem dein-
              <lb/>
            ceps rurſus duco in ſinum totũ, & </s>
            <s xml:id="echoid-s3459" xml:space="preserve">productũ itidem diuido in ſinum cõplementi altitudi-
              <lb/>
            nis Solis hora intronizationis, altitudinem illã habeo ex 35. </s>
            <s xml:id="echoid-s3460" xml:space="preserve">36. </s>
            <s xml:id="echoid-s3461" xml:space="preserve">37. </s>
            <s xml:id="echoid-s3462" xml:space="preserve">uel 38. </s>
            <s xml:id="echoid-s3463" xml:space="preserve">pronunc. </s>
            <s xml:id="echoid-s3464" xml:space="preserve">iam
              <lb/>
            antea inuentam 44. </s>
            <s xml:id="echoid-s3465" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3466" xml:space="preserve">52. </s>
            <s xml:id="echoid-s3467" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3468" xml:space="preserve">Complementũ eius eſt 45. </s>
            <s xml:id="echoid-s3469" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3470" xml:space="preserve">8. </s>
            <s xml:id="echoid-s3471" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3472" xml:space="preserve">ſinus uero 70876. </s>
            <s xml:id="echoid-s3473" xml:space="preserve">
              <lb/>
            quotiens dabit 93317. </s>
            <s xml:id="echoid-s3474" xml:space="preserve">arcus uero quotientis eſt 68. </s>
            <s xml:id="echoid-s3475" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3476" xml:space="preserve">56. </s>
            <s xml:id="echoid-s3477" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3478" xml:space="preserve">ſi iam arcũ illum à quadrã
              <lb/>
            te ſubtrahas, remanẽt 21. </s>
            <s xml:id="echoid-s3479" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3480" xml:space="preserve">4. </s>
            <s xml:id="echoid-s3481" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3482" xml:space="preserve">diſtantia nimirũ Solis quæſita. </s>
            <s xml:id="echoid-s3483" xml:space="preserve">Intellige tamen arcũ
              <lb/>
            horizontis à puncto intronizationis æquinoctialis & </s>
            <s xml:id="echoid-s3484" xml:space="preserve">borizontis uſ ad circulũ uertica
              <lb/>
            lem, à zenith per corpus ſolare ad horizontẽ uſ deductũ. </s>
            <s xml:id="echoid-s3485" xml:space="preserve">Et hic quidem modus inue-
              <lb/>
            niendi Azimuth uſurpari poteſt in Sole & </s>
            <s xml:id="echoid-s3486" xml:space="preserve">alijs planetis, at adeo ſtellis fixis omnibus.</s>
            <s xml:id="echoid-s3487" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div103" type="section" level="1" n="56">
          <head xml:id="echoid-head60" xml:space="preserve">PRONVNCIATVM XLIIII.</head>
          <p>
            <s xml:id="echoid-s3488" xml:space="preserve">Altitudinem Solis ſupra horizontem omni momento, & </s>
            <s xml:id="echoid-s3489" xml:space="preserve">ubicun gen-
              <lb/>
            tium adhuc ſexta ratione inuenire.</s>
            <s xml:id="echoid-s3490" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3491" xml:space="preserve">Miraris forſitan quòd tam diuerſas uias inueniendi altitudinem Solis ſupra horizon
              <lb/>
            tem tibi cõmonſtro, ſed deſines uti mirari, ubi cognoueris, nos hic uſ adeo magnũla
              <lb/>
            borem fruſtra non adſumpſiſſe. </s>
            <s xml:id="echoid-s3492" xml:space="preserve">Nam & </s>
            <s xml:id="echoid-s3493" xml:space="preserve">neceſſariũ id nobis uidebatur eo maxime, quod
              <lb/>
            tabulæ altitudinũ, quas lingua Arabum Almicantharat dicimus, ad complura inſtrumẽ
              <lb/>
              <note position="left" xlink:label="note-0054-04" xlink:href="note-0054-04a" xml:space="preserve">
                <emph style="it">Almican-</emph>
                <lb/>
                <emph style="it">tharat</emph>
              .</note>
            ta eorum´ cõpoſitiones adcommodari ſolent. </s>
            <s xml:id="echoid-s3494" xml:space="preserve">Deinde non parũ etiã uſum ipſum reſpe-
              <lb/>
            ximus, ſiquidem non rarus diuerſi modi alijs at alijs ſunt gratiores, imò & </s>
            <s xml:id="echoid-s3495" xml:space="preserve">alijs tempo
              <lb/>
            ribus alij ſunt aptiores, quamobrẽ libuit ad hanc rem quoddã uelut copiæ cornu adcom
              <lb/>
            modare, ratio autem iſta ſic habet. </s>
            <s xml:id="echoid-s3496" xml:space="preserve">Si ſinum quem facit horizon cum circulo magno ex
              <lb/>
            Sole ad ortũ æquatoris ducto, ducas in ſinum diſtantiæ Solis à puncto interſectionis æ-
              <lb/>
              <note position="left" xlink:label="note-0054-05" xlink:href="note-0054-05a" xml:space="preserve">
                <emph style="it">Lateraliter</emph>
              </note>
            quinoctialis & </s>
            <s xml:id="echoid-s3497" xml:space="preserve">horizontis, productum diuidas in ſinũ totũ, arcus quotientis monſtrabit
              <lb/>
            tibi altitudinem Solis ſupra horizontem. </s>
            <s xml:id="echoid-s3498" xml:space="preserve">?</s>
            <s xml:id="echoid-s3499" xml:space="preserve">? Exemplum ſit hoc tibi, Ipſa hora introni-
              <lb/>
              <note position="left" xlink:label="note-0054-06" xlink:href="note-0054-06a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoo
                  <unsure/>
                pi</emph>
              .</note>
            zationis cupio ſcire altitudinem Solis ſupra horizontẽ, eſto igitur, ut iam ex 41. </s>
            <s xml:id="echoid-s3500" xml:space="preserve">ꝓnũc.
              <lb/>
            </s>
            <s xml:id="echoid-s3501" xml:space="preserve">inuenerim angulũ horizontis & </s>
            <s xml:id="echoid-s3502" xml:space="preserve">circuli magni per Solem & </s>
            <s xml:id="echoid-s3503" xml:space="preserve">æquatoris ortum ducti, is
              <lb/>
            eſt 70. </s>
            <s xml:id="echoid-s3504" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3505" xml:space="preserve">8. </s>
            <s xml:id="echoid-s3506" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3507" xml:space="preserve">ſinum eius 94056. </s>
            <s xml:id="echoid-s3508" xml:space="preserve">ſi ducam in ſinum diſtantiæ Solis ab ortu æquatoris
              <lb/>
            in dicto circulo computato, diſtãtiam autem illam reperi per 39. </s>
            <s xml:id="echoid-s3509" xml:space="preserve">pronunc. </s>
            <s xml:id="echoid-s3510" xml:space="preserve">ad ipſam q̊
              <lb/>
            intronizationis horã, & </s>
            <s xml:id="echoid-s3511" xml:space="preserve">eſt ſanè 48. </s>
            <s xml:id="echoid-s3512" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3513" xml:space="preserve">35. </s>
            <s xml:id="echoid-s3514" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3515" xml:space="preserve">ſinus eius eſt 74991. </s>
            <s xml:id="echoid-s3516" xml:space="preserve">productum ſi diui-
              <lb/>
            dam in ſinum totum, prouenient in quotiente 70533. </s>
            <s xml:id="echoid-s3517" xml:space="preserve">arcus illius eſt 44. </s>
            <s xml:id="echoid-s3518" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s3519" xml:space="preserve">52. </s>
            <s xml:id="echoid-s3520" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s3521" xml:space="preserve">illa ni
              <lb/>
            mirum altitudo Solis, quam et quin ſuperioribus pronunc. </s>
            <s xml:id="echoid-s3522" xml:space="preserve">docuimus inuenire.</s>
            <s xml:id="echoid-s3523" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div105" type="section" level="1" n="57">
          <head xml:id="echoid-head61" xml:space="preserve">PRONVNCIATVM XLV.</head>
          <p>
            <s xml:id="echoid-s3524" xml:space="preserve">Diſtantiam Solis horizontalem à circulo uerticali alio modo perquirere.</s>
            <s xml:id="echoid-s3525" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3526" xml:space="preserve">Quia iam luꝑius oſtẽdimus quidnã ſit diſtãtia ☉(sun) à circulo uerticali, ſuperfluum fuerit
              <lb/>
            idẽ hic denuo repetere, ita  inuẽtionẽ eius tantũmodo oſtẽdere libet. </s>
            <s xml:id="echoid-s3527" xml:space="preserve">Principio ꝓpone ti
              <lb/>
            bi ſinũ cõplemẽti diſtãtiæ Solis à puncto interſectiõis horizõtis & </s>
            <s xml:id="echoid-s3528" xml:space="preserve">æquinoctialis, </s>
          </p>
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