Apian, Petrus, Cosmographia

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        <div xml:id="echoid-div126" type="section" level="1" n="117">
          <pb o="Fo.57." file="119" n="119" rhead="RVM DESCRITIO."/>
        </div>
        <div xml:id="echoid-div127" type="section" level="1" n="118">
          <head xml:id="echoid-head130" style="it" xml:space="preserve">DE LONGITV DINIS DIFFEREN-
            <lb/>
          tia cognoſcenda ex latitudinis differentia &
            <lb/>
          recta diſtantia. Cap. VII.</head>
          <p>
            <s xml:id="echoid-s2668" xml:space="preserve">QVoniam latitudinũ inuentio facillima eſt, lon
              <lb/>
            gitudinum vero difficillima, placuit hunc mo
              <lb/>
            dum pro Coſmographię ſtudioſis ad calcẽ li-
              <lb/>
            bri ſubiũgere. </s>
            <s xml:id="echoid-s2669" xml:space="preserve">Subducta ergo latitudine vnius
              <lb/>
            loci ex latitudine alterius, reſidnũ vocatur dif
              <lb/>
            ferentia latitudinis. </s>
            <s xml:id="echoid-s2670" xml:space="preserve">Hanc duc in. </s>
            <s xml:id="echoid-s2671" xml:space="preserve">15. </s>
            <s xml:id="echoid-s2672" xml:space="preserve">miliaria
              <lb/>
            Germanica, ad quæ etiã debes reducere diſtan
              <lb/>
            tiam vera locoru, dando ſingulis miliaribus. </s>
            <s xml:id="echoid-s2673" xml:space="preserve">4000 paſſuum. </s>
            <s xml:id="echoid-s2674" xml:space="preserve">Veram
              <lb/>
            igitur diſtantiam ſic acceptã, multiplica in ſe quadratè. </s>
            <s xml:id="echoid-s2675" xml:space="preserve">Similiter
              <lb/>
            miliaria quæ ex differentia latitudinis prouenerãt. </s>
            <s xml:id="echoid-s2676" xml:space="preserve">Quadratũ hoc
              <lb/>
            differẽtiæ latitudin is aufer ex quadrato veræ diſtãtię, reſtabit qua
              <lb/>
            dratum miliarium reſpondentiũ differentiæ longitudinis quæſi-
              <lb/>
            tæ. </s>
            <s xml:id="echoid-s2677" xml:space="preserve">Quære ergo radicem quadratam illius reſidui, habebis miliaria,
              <lb/>
            quæ ſi diuidas per numerum miliarium reſpondentiũ vni grad ui
              <lb/>
            longitudinis in latitudine media, prodibit longitudinis differẽtia
              <lb/>
            quæſita. </s>
            <s xml:id="echoid-s2678" xml:space="preserve">Numerum verò miliariũ reſpondentium vni gradui lon-
              <lb/>
            g@tudinis in latitudine media, diſces ex. </s>
            <s xml:id="echoid-s2679" xml:space="preserve">13. </s>
            <s xml:id="echoid-s2680" xml:space="preserve">Cap. </s>
            <s xml:id="echoid-s2681" xml:space="preserve">primæ partis Apia
              <lb/>
            ni, exemplo ſecundo, vbi de longitudine differentibus locis agitur.</s>
            <s xml:id="echoid-s2682" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div128" type="section" level="1" n="119">
          <head xml:id="echoid-head131" style="it" xml:space="preserve">¶ Exempli gratia.</head>
          <p>
            <s xml:id="echoid-s2683" xml:space="preserve">LOuanium habet latitu. </s>
            <s xml:id="echoid-s2684" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2685" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2686" xml:space="preserve">58. </s>
            <s xml:id="echoid-s2687" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2688" xml:space="preserve">Gandauũ Flan-
              <lb/>
            driæ oppidũ lati. </s>
            <s xml:id="echoid-s2689" xml:space="preserve">51. </s>
            <s xml:id="echoid-s2690" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2691" xml:space="preserve">24. </s>
            <s xml:id="echoid-s2692" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2693" xml:space="preserve">Differẽtia eſt. </s>
            <s xml:id="echoid-s2694" xml:space="preserve">26. </s>
            <s xml:id="echoid-s2695" xml:space="preserve">minu-
              <lb/>
            torũ, quæ multiplico per. </s>
            <s xml:id="echoid-s2696" xml:space="preserve">15. </s>
            <s xml:id="echoid-s2697" xml:space="preserve">mil. </s>
            <s xml:id="echoid-s2698" xml:space="preserve">exeũt. </s>
            <s xml:id="echoid-s2699" xml:space="preserve">390. </s>
            <s xml:id="echoid-s2700" xml:space="preserve">minuta mi
              <lb/>
            liariũ. </s>
            <s xml:id="echoid-s2701" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s2702" xml:space="preserve">vt operatio certior ſit, & </s>
            <s xml:id="echoid-s2703" xml:space="preserve">turbatione careat,
              <lb/>
            reduco omnia alia ſimiliter ad minuta: </s>
            <s xml:id="echoid-s2704" xml:space="preserve">Nempe diſtan
              <lb/>
            tiam verã quæ eſt. </s>
            <s xml:id="echoid-s2705" xml:space="preserve">14. </s>
            <s xml:id="echoid-s2706" xml:space="preserve">miliarium, quæ efficiunt. </s>
            <s xml:id="echoid-s2707" xml:space="preserve">840. </s>
            <s xml:id="echoid-s2708" xml:space="preserve">mi Multiplico
              <lb/>
            nunc veram hanc diſtantiam in ſe quadrate, exeũt. </s>
            <s xml:id="echoid-s2709" xml:space="preserve">705600. </s>
            <s xml:id="echoid-s2710" xml:space="preserve">Præte-
              <lb/>
            rea miliaria differẽtię latitudinis ſiue minuta duco in ſe, hoc eſt. </s>
            <s xml:id="echoid-s2711" xml:space="preserve">390
              <lb/>
            in. </s>
            <s xml:id="echoid-s2712" xml:space="preserve">390. </s>
            <s xml:id="echoid-s2713" xml:space="preserve">prodeũt. </s>
            <s xml:id="echoid-s2714" xml:space="preserve">152100 ſecundum hoc quadratum aufero ex prio
              <lb/>
            ri, reſtant. </s>
            <s xml:id="echoid-s2715" xml:space="preserve">553500. </s>
            <s xml:id="echoid-s2716" xml:space="preserve">quadratũ ſcilicet differẽtiæ longitudinis. </s>
            <s xml:id="echoid-s2717" xml:space="preserve">Quæ-
              <lb/>
            ro ergo radicem ipſius, vt in arithmeticis docetur, ea eſt. </s>
            <s xml:id="echoid-s2718" xml:space="preserve">744 minu
              <lb/>
            ta miliarium reſpondentia differentię longitudinis ignotę Quam
              <lb/>
            vt eliciam, quęro quot miliaria reſpondeant vni gradui longitudi
              <lb/>
            nis in latitudine media, ſicuti docetur. </s>
            <s xml:id="echoid-s2719" xml:space="preserve">13. </s>
            <s xml:id="echoid-s2720" xml:space="preserve">Cap. </s>
            <s xml:id="echoid-s2721" xml:space="preserve">iam dicto. </s>
            <s xml:id="echoid-s2722" xml:space="preserve">Ex tabu-
              <lb/>
            la illic poſira colligo. </s>
            <s xml:id="echoid-s2723" xml:space="preserve">9. </s>
            <s xml:id="echoid-s2724" xml:space="preserve">miliaria. </s>
            <s xml:id="echoid-s2725" xml:space="preserve">24. </s>
            <s xml:id="echoid-s2726" xml:space="preserve">min. </s>
            <s xml:id="echoid-s2727" xml:space="preserve">vel (quoniam omnia ſunt
              <lb/>
            in minutis poſita). </s>
            <s xml:id="echoid-s2728" xml:space="preserve">564 minuta. </s>
            <s xml:id="echoid-s2729" xml:space="preserve">Diuido tandem. </s>
            <s xml:id="echoid-s2730" xml:space="preserve">744. </s>
            <s xml:id="echoid-s2731" xml:space="preserve">per. </s>
            <s xml:id="echoid-s2732" xml:space="preserve">564. </s>
            <s xml:id="echoid-s2733" xml:space="preserve">pro-
              <lb/>
            uenit vnus gradus, & </s>
            <s xml:id="echoid-s2734" xml:space="preserve">reſtant. </s>
            <s xml:id="echoid-s2735" xml:space="preserve">180. </s>
            <s xml:id="echoid-s2736" xml:space="preserve">quæ multiplico per. </s>
            <s xml:id="echoid-s2737" xml:space="preserve">60.</s>
            <s xml:id="echoid-s2738" xml:space="preserve">
              <unsure/>
            exurgũt
              <lb/>
            10800 quæ rurſus diuido per. </s>
            <s xml:id="echoid-s2739" xml:space="preserve">564. </s>
            <s xml:id="echoid-s2740" xml:space="preserve">tandem exurgunt. </s>
            <s xml:id="echoid-s2741" xml:space="preserve">20. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">fere min.
              <lb/>
            </s>
            <s xml:id="echoid-s2743" xml:space="preserve">Summatim ergo dico, differentiam longitudinis inter Louanium
              <lb/>
            & </s>
            <s xml:id="echoid-s2744" xml:space="preserve">Gandauum 1. </s>
            <s xml:id="echoid-s2745" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2746" xml:space="preserve">20. </s>
            <s xml:id="echoid-s2747" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2748" xml:space="preserve">fere. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">Sed hic opus eſſe video regulis Di-
              <lb/>
            uiſionis Phyſicæ, quæ ſequuntur.</s>
            <s xml:id="echoid-s2750" xml:space="preserve"/>
          </p>
        </div>
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