Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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          <pb file="0011" n="11" rhead="INDEX."/>
          <p>
            <s xml:id="echoid-s223" xml:space="preserve">51. </s>
            <s xml:id="echoid-s224" xml:space="preserve">Arcum circuli maioris, qui per utrun polum mundi & </s>
            <s xml:id="echoid-s225" xml:space="preserve">corpus ſolare ducitur, at
              <lb/>
            alio nomine circulus horarius dicitur, quantus ille ſit à polo mundi arctico uſ ad
              <lb/>
            horizontem, per ſupputationem triangularem cognoſcere.</s>
            <s xml:id="echoid-s226" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s227" xml:space="preserve">52. </s>
            <s xml:id="echoid-s228" xml:space="preserve">Locum ſiue punctum horizontis, ubi linea horaria in plano horizontali, ſimiliter & </s>
            <s xml:id="echoid-s229" xml:space="preserve">
              <lb/>
            circulus horarius in corpore ſphærico tangit horizontem, inuenire.</s>
            <s xml:id="echoid-s230" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s231" xml:space="preserve">53. </s>
            <s xml:id="echoid-s232" xml:space="preserve">Arcum illum horizontis inter meridianum & </s>
            <s xml:id="echoid-s233" xml:space="preserve">circulum horarium comprehenſum
              <lb/>
            adhuc alia quadam ratione inueſtigare, iſtũ inquam, qui per locũ Solis ptenditur</s>
          </p>
          <p>
            <s xml:id="echoid-s234" xml:space="preserve">54. </s>
            <s xml:id="echoid-s235" xml:space="preserve">Arcum horizontis, quem arcus horarius inter ſeipſum & </s>
            <s xml:id="echoid-s236" xml:space="preserve">meridianum includit, ad-
              <lb/>
            huc alia ea´ omnium facilima ratione perquirere.</s>
            <s xml:id="echoid-s237" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s238" xml:space="preserve">55. </s>
            <s xml:id="echoid-s239" xml:space="preserve">Arcum quo in circulo uerticali, inter circulum horarium & </s>
            <s xml:id="echoid-s240" xml:space="preserve">meridianum interce-
              <lb/>
            ptum exacta & </s>
            <s xml:id="echoid-s241" xml:space="preserve">diligenti ſupputatione indagare.</s>
            <s xml:id="echoid-s242" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s243" xml:space="preserve">56. </s>
            <s xml:id="echoid-s244" xml:space="preserve">Arcum circuli uerticalis, quem abſcindit circulus horarum, adhuc diuerſo modo
              <lb/>
            inueſtigare.</s>
            <s xml:id="echoid-s245" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s246" xml:space="preserve">57. </s>
            <s xml:id="echoid-s247" xml:space="preserve">Angulos horarios conficere ſuper quolibet plano, quæ quidem planæ ſuperficies à
              <lb/>
            ſuperficie plana horizontali inclinantur, & </s>
            <s xml:id="echoid-s248" xml:space="preserve">tamen reſpectu ſuperficiei ipſius me-
              <lb/>
            ridiani ad angulos rectos ſunt compoſitæ.</s>
            <s xml:id="echoid-s249" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s250" xml:space="preserve">58. </s>
            <s xml:id="echoid-s251" xml:space="preserve">Cognito iam antea eclypticæ gradu, qui eſt in a ſcendente, ſimiliter & </s>
            <s xml:id="echoid-s252" xml:space="preserve">habito gradu
              <lb/>
            æ quinoctialis coaſcendente, eleuationem poli inde elicere.</s>
            <s xml:id="echoid-s253" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s254" xml:space="preserve">59. </s>
            <s xml:id="echoid-s255" xml:space="preserve">Si quis ante nouerit duo puncta eclypticæ, & </s>
            <s xml:id="echoid-s256" xml:space="preserve">arcum inter ea concluſum, ſimiliter
              <lb/>
            & </s>
            <s xml:id="echoid-s257" xml:space="preserve">aſcenſionem obliquam (qui gradus ſunt æquatoris cum noto iſto loco eclypti
              <lb/>
            cæ in eadem regione coaſcendentes) inde quo eleuationem polarem eius regio
              <lb/>
            nis, in qua fit talis aſcenſio, colligere.</s>
            <s xml:id="echoid-s258" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s259" xml:space="preserve">60. </s>
            <s xml:id="echoid-s260" xml:space="preserve">Cognito antea & </s>
            <s xml:id="echoid-s261" xml:space="preserve">gradu medij cœli, & </s>
            <s xml:id="echoid-s262" xml:space="preserve">ſimul perſpecta amplitudine ortiua aſcẽden-
              <lb/>
            tis, altitudinem poli inde perquirere.</s>
            <s xml:id="echoid-s263" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s264" xml:space="preserve">61. </s>
            <s xml:id="echoid-s265" xml:space="preserve">Cognito iam gradu medij cœli, ſimiliter & </s>
            <s xml:id="echoid-s266" xml:space="preserve">gradu aſcendentis, altitudinem poli in-
              <lb/>
            de cognoſcere.</s>
            <s xml:id="echoid-s267" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s268" xml:space="preserve">62. </s>
            <s xml:id="echoid-s269" xml:space="preserve">In quacun regione, perſpecta eleuatione poli, tempus quo punctum zodiaci ab
              <lb/>
            arcuper polos mundi & </s>
            <s xml:id="echoid-s270" xml:space="preserve">arcum æquinoctialis ducto uſ ad circulum uerticalem
              <lb/>
            moueatur, dijudicare.</s>
            <s xml:id="echoid-s271" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s272" xml:space="preserve">63. </s>
            <s xml:id="echoid-s273" xml:space="preserve">Intellecta iam altitudine poli, adhuc emetiri quanto tempore arcus aliquis eclypti-
              <lb/>
            cæ propoſitus à principio uſ in finem pertranſeat circulum uerticalem.</s>
            <s xml:id="echoid-s274" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s275" xml:space="preserve">64. </s>
            <s xml:id="echoid-s276" xml:space="preserve">Idem hoc tempus adhuc alio modo perquirere, at ea ueluti generalis eſt regula
              <lb/>
            ad totam eclypticam.</s>
            <s xml:id="echoid-s277" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s278" xml:space="preserve">65. </s>
            <s xml:id="echoid-s279" xml:space="preserve">Si in duabus regionibus altitudo poli ſit ignota, & </s>
            <s xml:id="echoid-s280" xml:space="preserve">uno momento unus aſcendens
              <lb/>
            exiſtat, ſed ad meridianos eorum pertingat duplex eclypticæ pũctum etiam igno
              <lb/>
            tum, adhuc inſuper cognoſcere latitudines & </s>
            <s xml:id="echoid-s281" xml:space="preserve">differentiam longitudinis earum.</s>
            <s xml:id="echoid-s282" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s283" xml:space="preserve">66. </s>
            <s xml:id="echoid-s284" xml:space="preserve">Ciuitatibus duabus eundem aſcendentem habentibus eadem hora & </s>
            <s xml:id="echoid-s285" xml:space="preserve">momento, u-
              <lb/>
            triuſ etiam eleuationem poli perſpecta, differentiam longitudinum inter eas cõ
              <lb/>
            cluſum inuenire.</s>
            <s xml:id="echoid-s286" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s287" xml:space="preserve">67. </s>
            <s xml:id="echoid-s288" xml:space="preserve">Cognita duarum urbium latitudine, ſimiliter & </s>
            <s xml:id="echoid-s289" xml:space="preserve">differentia ipſa lõgitudinis, an eun-
              <lb/>
            dem habeant uno momento aſcendentem uidere.</s>
            <s xml:id="echoid-s290" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s291" xml:space="preserve">68. </s>
            <s xml:id="echoid-s292" xml:space="preserve">Si quando duæ ciuitates, quarum cognitæ ſint latitudines & </s>
            <s xml:id="echoid-s293" xml:space="preserve">longitudines, uel ſal-
              <lb/>
            tem differentia longitudinum, iam´ ex ſuperiori pronunciato inuentum ſit, eas
              <lb/>
            eodem momento quotidie ſemel aut bisunum habere aſcendentem, punctũ iam
              <lb/>
            iſtud eclypticæ in aſcendente expedite indagare.</s>
            <s xml:id="echoid-s294" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s295" xml:space="preserve">69. </s>
            <s xml:id="echoid-s296" xml:space="preserve">Quottidie ex altitudine & </s>
            <s xml:id="echoid-s297" xml:space="preserve">Azimuth Solis eleuationem poli colligere.</s>
            <s xml:id="echoid-s298" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s299" xml:space="preserve">70. </s>
            <s xml:id="echoid-s300" xml:space="preserve">Si quando duorum locorum longitudines ſunt æquales, & </s>
            <s xml:id="echoid-s301" xml:space="preserve">inſuper eorum latitudi-
              <lb/>
            nes notæ, at inæquales, diſtantiam inter ea ſecundum uiam directã inueſtigare.</s>
            <s xml:id="echoid-s302" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s303" xml:space="preserve">71. </s>
            <s xml:id="echoid-s304" xml:space="preserve">Quum loca duo uni ſubiecta ſunt meridiano, & </s>
            <s xml:id="echoid-s305" xml:space="preserve">alterius tantum nota ſit latitudo & </s>
            <s xml:id="echoid-s306" xml:space="preserve">
              <lb/>
            diſtantia ignota, inde latitudinem alterius elicere.</s>
            <s xml:id="echoid-s307" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s308" xml:space="preserve">72. </s>
            <s xml:id="echoid-s309" xml:space="preserve">Locis duobus æqualem poli altitudinem habentibus, quæ utra ſit nota, ſed ita, ut
              <lb/>
            diuerſis ſubiaceant meridianis, cognita etiam differentia longitudinis, adhuc eo-
              <lb/>
            rum inſuper diſtantiam cognoſcere.</s>
            <s xml:id="echoid-s310" xml:space="preserve"/>
          </p>
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