Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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          <pb file="0012" n="12" rhead="INDEX."/>
          <p>
            <s xml:id="echoid-s311" xml:space="preserve">73. </s>
            <s xml:id="echoid-s312" xml:space="preserve">Cognitis duorum locorum latitudine & </s>
            <s xml:id="echoid-s313" xml:space="preserve">longitudine, diſtantiam inuenire.</s>
            <s xml:id="echoid-s314" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s315" xml:space="preserve">74. </s>
            <s xml:id="echoid-s316" xml:space="preserve">Duobus locis in gradibus longitudinis & </s>
            <s xml:id="echoid-s317" xml:space="preserve">latitudinis cognitis, in quã mundi partẽ
              <lb/>
            alter ab altero declinet (angulũ hũc poſitionis alio nomine dicimus) inueſtigare.</s>
            <s xml:id="echoid-s318" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s319" xml:space="preserve">75. </s>
            <s xml:id="echoid-s320" xml:space="preserve">Propoſitis locis duobus, quorum alterius tantum latitudo ſimul & </s>
            <s xml:id="echoid-s321" xml:space="preserve">longitudo ſit co
              <lb/>
            gnita, alterius autem utra ignota, angulus autem poſitionis ab altero conſtet
              <lb/>
            unà cum diſtantia ad alterum, inſuper eleuationem poli alterius loci, longitudi-
              <lb/>
            nem etiam ſiue diſtantiam longitudinis indagare.</s>
            <s xml:id="echoid-s322" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s323" xml:space="preserve">76. </s>
            <s xml:id="echoid-s324" xml:space="preserve">Cognita tantum unius loci propoſiti eleuatione polari ſimul et alterius, at hinc
              <lb/>
            etiam interca pedine habita inter utran, differentiam adhuc longitudinum & </s>
            <s xml:id="echoid-s325" xml:space="preserve">an
              <lb/>
            gulum poſitionis ab altero ad alterum inuenire.</s>
            <s xml:id="echoid-s326" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s327" xml:space="preserve">77. </s>
            <s xml:id="echoid-s328" xml:space="preserve">Si trium locorum nota ſit intercapedo, duo etiam loca ex ijs cognitas habeant ſuas
              <lb/>
            tum latitudines tum longitudines, adhuc tertij longitudinem & </s>
            <s xml:id="echoid-s329" xml:space="preserve">latitudinem, an-
              <lb/>
            gulum´ poſitionis, inquirere.</s>
            <s xml:id="echoid-s330" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s331" xml:space="preserve">78. </s>
            <s xml:id="echoid-s332" xml:space="preserve">Arcum circuli uerticalis concluſum inter meridianum & </s>
            <s xml:id="echoid-s333" xml:space="preserve">circulum poſitionis alicu
              <lb/>
            ius ſtellæ ſiue puncti in cœlo extra eclypticam, uel in ea conſiderare & </s>
            <s xml:id="echoid-s334" xml:space="preserve">agnoſcere.</s>
            <s xml:id="echoid-s335" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s336" xml:space="preserve">79. </s>
            <s xml:id="echoid-s337" xml:space="preserve">Altitudinem poli arctici ſuper ſemicirculum poſitionis breuiſsime & </s>
            <s xml:id="echoid-s338" xml:space="preserve">expeditiſsime
              <lb/>
            inueſtigare.</s>
            <s xml:id="echoid-s339" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s340" xml:space="preserve">80. </s>
            <s xml:id="echoid-s341" xml:space="preserve">Horam diurnam ex altitudine Solis ſuper horizontem in omni regione conijcere.</s>
            <s xml:id="echoid-s342" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s343" xml:space="preserve">81. </s>
            <s xml:id="echoid-s344" xml:space="preserve">Altitudine poli Borealis ſuper ſemicirculum poſitionis cognita, etiam arcum æqua
              <lb/>
            toris inuenire, qui meridiano & </s>
            <s xml:id="echoid-s345" xml:space="preserve">illo ſemicirculo poſitionis includitur.</s>
            <s xml:id="echoid-s346" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s347" xml:space="preserve">82. </s>
            <s xml:id="echoid-s348" xml:space="preserve">Quum iam altitudo poli ſuper ſemicirculum poſitionis cognita eſt, de hinc arcum
              <lb/>
            circuli uerticalis inter zenith & </s>
            <s xml:id="echoid-s349" xml:space="preserve">iſtũ ſemicirculũ poſitionis cõcluſum inueſtigare.</s>
            <s xml:id="echoid-s350" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s351" xml:space="preserve">83. </s>
            <s xml:id="echoid-s352" xml:space="preserve">Si arcus æquatoris à meridiano ſumatur uſ ad ſemicirculum poſitionis, altitudi-
              <lb/>
            nem per hoc poliſuper ſemicirculum illum poſitionis perquirere.</s>
            <s xml:id="echoid-s353" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s354" xml:space="preserve">84. </s>
            <s xml:id="echoid-s355" xml:space="preserve">Altitudinem poli ſuper ſemicirculum poſitionis per arcum æquatoris inter eum & </s>
            <s xml:id="echoid-s356" xml:space="preserve">
              <lb/>
            meridianum concluſum, diuerſa ratione colligere.</s>
            <s xml:id="echoid-s357" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s358" xml:space="preserve">85. </s>
            <s xml:id="echoid-s359" xml:space="preserve">Declinationem ſtellæ ab æquatore, ſi quam habet, cognoſcere.</s>
            <s xml:id="echoid-s360" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s361" xml:space="preserve">86. </s>
            <s xml:id="echoid-s362" xml:space="preserve">Declinationem ſtellæ alio & </s>
            <s xml:id="echoid-s363" xml:space="preserve">iucundiore modo perquirere.</s>
            <s xml:id="echoid-s364" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s365" xml:space="preserve">87. </s>
            <s xml:id="echoid-s366" xml:space="preserve">Aſcenſionem rectam ſtellæ inuenire, puta gradum æquatoris, qui cum ſtella propo
              <lb/>
            ſita meridianum ſiue horizontem rectum attingit.</s>
            <s xml:id="echoid-s367" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s368" xml:space="preserve">88. </s>
            <s xml:id="echoid-s369" xml:space="preserve">Altitudinem poli ſupra horizontem quacun hora noctis, quum ſtellæ uidentur,
              <lb/>
            per totum annum ſine omni inſtrumento artificioſe dignoſcere.</s>
            <s xml:id="echoid-s370" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s371" xml:space="preserve">89. </s>
            <s xml:id="echoid-s372" xml:space="preserve">Punctum iſtud eclypticæ cum quo ſtella ſeu punctum quoduis cœli medium tan-
              <lb/>
            git, perſcrutari.</s>
            <s xml:id="echoid-s373" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s374" xml:space="preserve">90. </s>
            <s xml:id="echoid-s375" xml:space="preserve">Amplitudinem ortiuam & </s>
            <s xml:id="echoid-s376" xml:space="preserve">occiduam ſtellarum fixarum & </s>
            <s xml:id="echoid-s377" xml:space="preserve">erraticarum adinuenire.</s>
            <s xml:id="echoid-s378" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s379" xml:space="preserve">91. </s>
            <s xml:id="echoid-s380" xml:space="preserve">Aſcenſionẽ rectam ſtellarũ fixarũ & </s>
            <s xml:id="echoid-s381" xml:space="preserve">erraticarum quàm expeditiſsime cognoſcere.</s>
            <s xml:id="echoid-s382" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s383" xml:space="preserve">92. </s>
            <s xml:id="echoid-s384" xml:space="preserve">Arcũ ſemidiurnũ ſtellæ & </s>
            <s xml:id="echoid-s385" xml:space="preserve">eius etiam aſcenſionem obliquã in æquatore perſpicere.</s>
            <s xml:id="echoid-s386" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s387" xml:space="preserve">93. </s>
            <s xml:id="echoid-s388" xml:space="preserve">Cum quo gradu ſiue puncto eclypticæ quælibet ſtella fixa & </s>
            <s xml:id="echoid-s389" xml:space="preserve">erratica, ſimiliter & </s>
            <s xml:id="echoid-s390" xml:space="preserve">ali
              <lb/>
            ud quoduis punctum imaginarium Primi Mobilis ſuper horizontem obliquam
              <lb/>
            aſcendit, uel eum tangit, aut etiã in parte occidua demergitur, ſolerter indagare.</s>
            <s xml:id="echoid-s391" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s392" xml:space="preserve">94. </s>
            <s xml:id="echoid-s393" xml:space="preserve">Proiectionem radiorum per triangularem ſup putationem colligere.</s>
            <s xml:id="echoid-s394" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s395" xml:space="preserve">95. </s>
            <s xml:id="echoid-s396" xml:space="preserve">Interuallum apparitionis aut occultationis ſtellarum in arcu eclypticæ, ſubtiliter
              <lb/>
            explorare.</s>
            <s xml:id="echoid-s397" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s398" xml:space="preserve">96. </s>
            <s xml:id="echoid-s399" xml:space="preserve">Ex altitudine ſtellæ fixæ uel planetæ ſupra horizontem, etiã noctis horam elicere.</s>
            <s xml:id="echoid-s400" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s401" xml:space="preserve">97. </s>
            <s xml:id="echoid-s402" xml:space="preserve">Duarum ſtellarum fixarum uel errantium, diuerſas´ latitudinum denominationes
              <lb/>
            habentium, diſtantias ab inuicem colligere.</s>
            <s xml:id="echoid-s403" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s404" xml:space="preserve">98. </s>
            <s xml:id="echoid-s405" xml:space="preserve">Altitudinem ſtellæ ſupra horizontem exiſtentis, in omni regione omni´ hora ex-
              <lb/>
            acto calculo indagare.</s>
            <s xml:id="echoid-s406" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s407" xml:space="preserve">99. </s>
            <s xml:id="echoid-s408" xml:space="preserve">Diſtantiam ſtellæ horizontalem à circulo meridiano omnihora inueſtigare.</s>
            <s xml:id="echoid-s409" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s410" xml:space="preserve">100. </s>
            <s xml:id="echoid-s411" xml:space="preserve">Quocun anni tempore etiam in pauculis diebus per ſtellam incognitam & </s>
            <s xml:id="echoid-s412" xml:space="preserve">ex-
              <lb/>
            ortum Solis, maximam Solis declinationem dignoſcere.</s>
            <s xml:id="echoid-s413" xml:space="preserve"/>
          </p>
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