Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div164" type="section" level="1" n="86">
          <p>
            <s xml:id="echoid-s5506" xml:space="preserve">
              <pb file="0071" n="71" rhead="TABVLARVM SINVVM PER PET. APIANVM."/>
            litus ſit, Azimuth idẽ dici ſolet, de q̊ multa alibi, nũc ad exemplũ ueniamus. </s>
            <s xml:id="echoid-s5507" xml:space="preserve">?</s>
            <s xml:id="echoid-s5508" xml:space="preserve">?A loco
              <lb/>
              <note position="right" xlink:label="note-0071-01" xlink:href="note-0071-01a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſcopi.</emph>
              </note>
            intronizationis cupio ſcire quorſum uergat Hieruſalem, q̊ ad ſitum illũ, quẽ digito liceat
              <lb/>
            mõſtrare, res ea ſanène nulla ne exigua eſt, ſcire q̊d nun̈ uideris, & </s>
            <s xml:id="echoid-s5509" xml:space="preserve">digito oſtendere
              <lb/>
            q̊ nõ ꝑtingit aſpectus, ita ꝓpoſitis gradibus latitudinũ & </s>
            <s xml:id="echoid-s5510" xml:space="preserve">lõgitudinum, ſicut in ſuꝑiori
              <lb/>
            ꝓnunciato factũ eſt, inuenta etiã diſtantia 32. </s>
            <s xml:id="echoid-s5511" xml:space="preserve">gra.</s>
            <s xml:id="echoid-s5512" xml:space="preserve">44. </s>
            <s xml:id="echoid-s5513" xml:space="preserve">mi.</s>
            <s xml:id="echoid-s5514" xml:space="preserve">ſinũ differẽtiæ lõgitudinum.</s>
            <s xml:id="echoid-s5515" xml:space="preserve">ſ.
              <lb/>
            </s>
            <s xml:id="echoid-s5516" xml:space="preserve">
              <note position="right" xlink:label="note-0071-02" xlink:href="note-0071-02a" xml:space="preserve">
                <emph style="it">Diſtantia</emph>
                <lb/>
                <emph style="it">Hieroſoly-</emph>
                <lb/>
                <emph style="it">mæ à meri</emph>
                <lb/>
                <emph style="it">diano Au-</emph>
                <lb/>
                <emph style="it">guſtano or</emph>
                <lb/>
                <emph style="it">tum uerſus</emph>
                <lb/>
                <emph style="it">gra. 73. mi.</emph>
                <lb/>
                <emph style="it">18.</emph>
              </note>
            60853. </s>
            <s xml:id="echoid-s5517" xml:space="preserve">duco in ſinũ cõplementi latitudinis minoris.</s>
            <s xml:id="echoid-s5518" xml:space="preserve">ſ.</s>
            <s xml:id="echoid-s5519" xml:space="preserve">85111. </s>
            <s xml:id="echoid-s5520" xml:space="preserve">& </s>
            <s xml:id="echoid-s5521" xml:space="preserve">diuide per totum ſinũ, q̊-
              <lb/>
            tiens dabit 51792. </s>
            <s xml:id="echoid-s5522" xml:space="preserve">quẽ ut minorẽ duco in totũ, ꝓductũ diuido in ſinũ diſtãtiæ inuentæ.</s>
            <s xml:id="echoid-s5523" xml:space="preserve">ſ.
              <lb/>
            </s>
            <s xml:id="echoid-s5524" xml:space="preserve">53975. </s>
            <s xml:id="echoid-s5525" xml:space="preserve">In quotiente ꝓueniunt 95783. </s>
            <s xml:id="echoid-s5526" xml:space="preserve">arcus eius eſt 73. </s>
            <s xml:id="echoid-s5527" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5528" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5529" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5530" xml:space="preserve">diſtantia Hieroſoly
              <lb/>
            mæ à meridiano uerſus ortum, ſi quãdo cupiã Auguſtæ ſitum illius digito cõmonſtrare.</s>
            <s xml:id="echoid-s5531" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div166" type="section" level="1" n="87">
          <head xml:id="echoid-head91" xml:space="preserve">PRONVNCIATVM LXXV.</head>
          <p>
            <s xml:id="echoid-s5532" xml:space="preserve">Propoſitis locis duobus, quorum alterius tantum latitudo ſimul & </s>
            <s xml:id="echoid-s5533" xml:space="preserve">longi
              <lb/>
            tudo ſit cognita, alterius autem utra ignota, angulus autem poſitionis ab al
              <lb/>
            tero conſtet unà cum diſtantia ad alterum, inſuper eleuationem poli alterius
              <lb/>
            loci, longitudinem etiam ſiue diſtantiam longitudinis indagare.</s>
            <s xml:id="echoid-s5534" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5535" xml:space="preserve">Age hic ſinũ diſtãtiæ duc in ſinũ anguli poſitiõis, ꝓductum diuide in totũ, & </s>
            <s xml:id="echoid-s5536" xml:space="preserve">arcus q̊-
              <lb/>
              <note position="right" xlink:label="note-0071-03" xlink:href="note-0071-03a" xml:space="preserve">
                <emph style="it">Inucntum</emph>
                <lb/>
                <emph style="it">primum</emph>
                <lb/>
                <emph style="it">later aliter</emph>
                <lb/>
                <emph style="it">inucnies.</emph>
                <lb/>
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">ſecundum</emph>
                <lb/>
                <emph style="it">aredtim.</emph>
                <lb/>
                <emph style="it">Operatio</emph>
                <lb/>
                <emph style="it">lateralis.</emph>
                <lb/>
                <emph style="it">Operatio</emph>
                <lb/>
                <emph style="it">Arealis.</emph>
              </note>
            tientis dabit inuentũ primũ, cõplementi huius inuenti ſinum tibi ꝓpone, & </s>
            <s xml:id="echoid-s5537" xml:space="preserve">ſinum cõple-
              <lb/>
            menti diſtãtiæ loco℞, minorem duc in totũ, & </s>
            <s xml:id="echoid-s5538" xml:space="preserve">ꝓductũ cũ maiori diuide, arcũ uero q̊tien-
              <lb/>
            tis ſubtrahe ex 90. </s>
            <s xml:id="echoid-s5539" xml:space="preserve">& </s>
            <s xml:id="echoid-s5540" xml:space="preserve">reſiduum rurſus ſubtractũ de latitudine nota, dicet̃ inuentum ſecun
              <lb/>
            dum. </s>
            <s xml:id="echoid-s5541" xml:space="preserve">Quod ſi aũt locus ignotus Borealior extiterit, tunc adde reſiduo latitudinem notã,
              <lb/>
            & </s>
            <s xml:id="echoid-s5542" xml:space="preserve">habebis etiã ſic inuentũ ſecundũ, Deinde duc ſinũ ſecundi inuenti in ſinum cõplementi iã inuen
              <lb/>
            primi inuenti, & </s>
            <s xml:id="echoid-s5543" xml:space="preserve">deinde in totum, arcus q̊tientis mõſtrabit latitudinem loci ignoti quæſi
              <lb/>
            tam, partem eius q̊d erat inquirendũ. </s>
            <s xml:id="echoid-s5544" xml:space="preserve">Porrò inde ꝓpone tibi ſinum cõplementi iã inuen
              <lb/>
            tæ latitudinis, & </s>
            <s xml:id="echoid-s5545" xml:space="preserve">ſinum inuenti primi duc in totũ, ꝓductũ diuide in maiorem, mox quære
              <lb/>
            arcum q̊tientis, ꝗ mõſtrat differentiã lõgitudinis, alte℞ id eſt q̊d quærimus. </s>
            <s xml:id="echoid-s5546" xml:space="preserve">At ſi longitu
              <lb/>
            do prioris illius loci cogniti manifeſto conſtat, & </s>
            <s xml:id="echoid-s5547" xml:space="preserve">locus alter qui prius credebat̃ ignotus
              <lb/>
            uerſus ortum eſt poſitus, adde differentiã illã ad lõgitudinem loci cogniti. </s>
            <s xml:id="echoid-s5548" xml:space="preserve">Si autem locus
              <lb/>
            ignotus fuerit Orientalior, tũc ſubtrahe differentiã illã à lõgitudine ciuitatis notæ, & </s>
            <s xml:id="echoid-s5549" xml:space="preserve">ha-
              <lb/>
            bebis lõgitudinem ciuitatis ignotæ cognitã at perſpectã. </s>
            <s xml:id="echoid-s5550" xml:space="preserve">?</s>
            <s xml:id="echoid-s5551" xml:space="preserve">?Videris adhuc mihi ex-
              <lb/>
              <note position="right" xlink:label="note-0071-04" xlink:href="note-0071-04a" xml:space="preserve">EXEM.
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſcopi.</emph>
              </note>
            plũ requirere, en damus hoc tibi. </s>
            <s xml:id="echoid-s5552" xml:space="preserve">Ecce locum factæ intronizatiõis mihi ꝓpono, ubilõgi-
              <lb/>
            tudoeſt 28. </s>
            <s xml:id="echoid-s5553" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5554" xml:space="preserve">31. </s>
            <s xml:id="echoid-s5555" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5556" xml:space="preserve">à primo meridiano qui trãſit ꝑ Canarias inſulas, unde lõgitudinis
              <lb/>
            petitur initium, latitudo quo Auguſtæ eſt 48. </s>
            <s xml:id="echoid-s5557" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5558" xml:space="preserve">20. </s>
            <s xml:id="echoid-s5559" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5560" xml:space="preserve">iam ergo ſcio Hieruſalem ab
              <lb/>
            Auguſta diſtare ꝑ 491. </s>
            <s xml:id="echoid-s5561" xml:space="preserve">miliaria Germanica, & </s>
            <s xml:id="echoid-s5562" xml:space="preserve">hinc cupio cognoſcere quantum ſit eleua
              <lb/>
            tus polus Hieroſolymis, quæ ſit ibi lõgitudo, hoc eſt q̊t horis Hieroſolymiæ citius ha
              <lb/>
            beãt meridiẽ ̈ Auguſtani. </s>
            <s xml:id="echoid-s5563" xml:space="preserve">Sinus ita diſtantiæ eſt 53975, eum duco in ſinum anguli po
              <lb/>
            ſitionis, ꝗ ſit 73. </s>
            <s xml:id="echoid-s5564" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5565" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5566" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5567" xml:space="preserve">ſinus eius eſt 95783. </s>
            <s xml:id="echoid-s5568" xml:space="preserve">ꝓductũ diuido in totum, & </s>
            <s xml:id="echoid-s5569" xml:space="preserve">in q̊tiente ha
              <lb/>
            beo 51792. </s>
            <s xml:id="echoid-s5570" xml:space="preserve">cuius arcus erit 31. </s>
            <s xml:id="echoid-s5571" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5572" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5573" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5574" xml:space="preserve">at hoc ſit inuentum primum. </s>
            <s xml:id="echoid-s5575" xml:space="preserve">Sinum diſtan
              <lb/>
            tiæ 84113. </s>
            <s xml:id="echoid-s5576" xml:space="preserve">duco in ſinum totũ, & </s>
            <s xml:id="echoid-s5577" xml:space="preserve">ꝓductum diuido in ſinũ cõplementi inuenti primi, q̊ti-
              <lb/>
            ens dabit 98336. </s>
            <s xml:id="echoid-s5578" xml:space="preserve">arcus illius eſt 79. </s>
            <s xml:id="echoid-s5579" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5580" xml:space="preserve">32. </s>
            <s xml:id="echoid-s5581" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5582" xml:space="preserve">eum ſubtraho de 90.</s>
            <s xml:id="echoid-s5583" xml:space="preserve">& </s>
            <s xml:id="echoid-s5584" xml:space="preserve">remanent 10. </s>
            <s xml:id="echoid-s5585" xml:space="preserve">gra.
              <lb/>
            </s>
            <s xml:id="echoid-s5586" xml:space="preserve">28. </s>
            <s xml:id="echoid-s5587" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5588" xml:space="preserve">quibus ſubductis à latitudine cognita, ꝗa illa Borealior eſt, relinquuntur 37. </s>
            <s xml:id="echoid-s5589" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5590" xml:space="preserve">
              <lb/>
            52. </s>
            <s xml:id="echoid-s5591" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5592" xml:space="preserve">inuentum. </s>
            <s xml:id="echoid-s5593" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s5594" xml:space="preserve">ſecundum. </s>
            <s xml:id="echoid-s5595" xml:space="preserve">Iam ſi ſinũ inuenti ſecundi 61374. </s>
            <s xml:id="echoid-s5596" xml:space="preserve">duxero in ſinum inuen
              <lb/>
            ti primi, & </s>
            <s xml:id="echoid-s5597" xml:space="preserve">diuiſero in totũ, q̊tiens dabit tibi 52497. </s>
            <s xml:id="echoid-s5598" xml:space="preserve">arcus illius 31. </s>
            <s xml:id="echoid-s5599" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5600" xml:space="preserve">40. </s>
            <s xml:id="echoid-s5601" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5602" xml:space="preserve">diſſoluet
              <lb/>
            tibi hoc q̊d quæſieramus primũ, ſiquidẽ is ipſe oſtẽdit altitudinem poli in Hieruſalẽ quã
              <lb/>
            antea ignorabas. </s>
            <s xml:id="echoid-s5603" xml:space="preserve">Poſt hæc rurſus duco ſinum inuenti primi 51792. </s>
            <s xml:id="echoid-s5604" xml:space="preserve">in totum, & </s>
            <s xml:id="echoid-s5605" xml:space="preserve">diuido
              <lb/>
              <note position="right" xlink:label="note-0071-05" xlink:href="note-0071-05a" xml:space="preserve">
                <emph style="it">Differentia</emph>
                <lb/>
                <emph style="it">lõgitudinis</emph>
                <lb/>
                <emph style="it">inter meri-</emph>
                <lb/>
                <emph style="it">dianũ Au-</emph>
                <lb/>
                <emph style="it">guſtẽſem et</emph>
                <lb/>
                <emph style="it">Hieroſoly-</emph>
                <lb/>
                <emph style="it">mitanũ est</emph>
                <lb/>
                <emph style="it">gra. 37.</emph>
                <lb/>
                <emph style="it">mi. 29.</emph>
              </note>
            in ſinum cõplementi latitudinis iã inuentæ Hieroſolymitanæ, & </s>
            <s xml:id="echoid-s5606" xml:space="preserve">q̊tiens ꝓducit 60853.
              <lb/>
            </s>
            <s xml:id="echoid-s5607" xml:space="preserve">arcus eius eſt 37. </s>
            <s xml:id="echoid-s5608" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5609" xml:space="preserve">29. </s>
            <s xml:id="echoid-s5610" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5611" xml:space="preserve">differentia illa lõgitudinis inter meridianum Auguſtenſem
              <lb/>
            & </s>
            <s xml:id="echoid-s5612" xml:space="preserve">Hieroſolymitanum, hanc ſi addidero ad longitudinem Auguſteñ. </s>
            <s xml:id="echoid-s5613" xml:space="preserve">28. </s>
            <s xml:id="echoid-s5614" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5615" xml:space="preserve">31. </s>
            <s xml:id="echoid-s5616" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5617" xml:space="preserve">ꝓue
              <lb/>
            nient mihi 66. </s>
            <s xml:id="echoid-s5618" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5619" xml:space="preserve">quæ lõgitudo eſt Hieroſolymis, unde argumentũ ſumitur, quia in Hie
              <lb/>
            ruſalem duabus horis & </s>
            <s xml:id="echoid-s5620" xml:space="preserve">30. </s>
            <s xml:id="echoid-s5621" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5622" xml:space="preserve">citius fiet meridies ̈ Auguſtæ. </s>
            <s xml:id="echoid-s5623" xml:space="preserve">Vnum hoc fac attendas
              <lb/>
            ſi qñ ita res tulerit, ut angulus poſitionis ſit 90. </s>
            <s xml:id="echoid-s5624" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5625" xml:space="preserve">à meridie, tunc duce@ co@@plementum
              <lb/>
            intercapedinis in ſinum latitudinis notæ, & </s>
            <s xml:id="echoid-s5626" xml:space="preserve">ꝓductum diuides in ſinum perfectũ, at ſic
              <lb/>
            arcus quotientis mõſtrabit tibi latitudinẽ alterius loci, deinde cõplementum quo </s>
          </p>
        </div>
      </text>
    </echo>
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