Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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          <pb o="520" file="0536" n="536" rhead="GNOMONICES"/>
          <p>
            <s xml:id="echoid-s33522" xml:space="preserve">ITAQVE in horologii plano ducta recta A B, quæ in plano ſtabili ac firmo ſit æquidiſtans
              <lb/>
              <note position="left" xlink:label="note-0536-01" xlink:href="note-0536-01a" xml:space="preserve">Deſcriptio horo
                <lb/>
              logii declinan-
                <lb/>
              tis à mer. in or.
                <lb/>
              gr. 45. & ad Ho
                <lb/>
              rizontrm in@li-
                <lb/>
              nati gr. 51. M.
                <lb/>
              51.ex tabulis.</note>
            Horizonti, deſcribatur ex C,loco ſtyli aſſumpto circulus cuiuſuis magnitudinis A D B E, in quo
              <lb/>
            diameter D E, rectam A B,ſecetad rectos angulos, quæ communis ſectio erit plani horologii, & </s>
            <s xml:id="echoid-s33523" xml:space="preserve">
              <lb/>
            maximi circuli inclinationem ad Horizontem metientis. </s>
            <s xml:id="echoid-s33524" xml:space="preserve">Inuento autem, per propoſ. </s>
            <s xml:id="echoid-s33525" xml:space="preserve">31. </s>
            <s xml:id="echoid-s33526" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s33527" xml:space="preserve">1.
              <lb/>
            </s>
            <s xml:id="echoid-s33528" xml:space="preserve">arcu circuli maximi, cui horologium æquidiſtat, inter circulum maximum, qui inclinationem
              <lb/>
            metitur, & </s>
            <s xml:id="echoid-s33529" xml:space="preserve">Meridianum proprium horologii interiecto, quem in propoſito exemplo reperimus
              <lb/>
            grad-31. </s>
            <s xml:id="echoid-s33530" xml:space="preserve">Min.</s>
            <s xml:id="echoid-s33531" xml:space="preserve">42 numerabimus eum à D, verſus A, ſiue occidentales partes, vſque ad F, quem-
              <lb/>
            admodum in in horologio declinante à mer. </s>
            <s xml:id="echoid-s33532" xml:space="preserve">in ortum grad 40. </s>
            <s xml:id="echoid-s33533" xml:space="preserve">& </s>
            <s xml:id="echoid-s33534" xml:space="preserve">ad Horizontem inclinato gr. </s>
            <s xml:id="echoid-s33535" xml:space="preserve">
              <lb/>
            20. </s>
            <s xml:id="echoid-s33536" xml:space="preserve">diximus, propterea quòd & </s>
            <s xml:id="echoid-s33537" xml:space="preserve">hoc horologium declinat à mer. </s>
            <s xml:id="echoid-s33538" xml:space="preserve">in ortum, vt illud. </s>
            <s xml:id="echoid-s33539" xml:space="preserve">Re-
              <lb/>
            cta enim ducta F C G, erit linea ſtyli, ſeu communis ſectio horologii, & </s>
            <s xml:id="echoid-s33540" xml:space="preserve">proprii Meridia-
              <lb/>
              <note position="left" xlink:label="note-0536-02" xlink:href="note-0536-02a" xml:space="preserve">Linea f@yli.
                <lb/>
              Linea ęquino-
                <lb/>
              noctialis.</note>
              <note position="left" xlink:label="note-0536-03" xlink:href="note-0536-03a" xml:space="preserve">10</note>
            ni ipſius. </s>
            <s xml:id="echoid-s33541" xml:space="preserve">Recta autem K L, ſecans hanc ad angulos rectos erit linea æquinoctialis, hoc
              <lb/>
            eſt, communis ſectio plani horologii, atque Aequatoris, à qua latitudines vmbrarum ſuppu-
              <lb/>
            tandæ ſunt.</s>
            <s xml:id="echoid-s33542" xml:space="preserve"/>
          </p>
          <figure number="327">
            <image file="0536-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0536-01"/>
          </figure>
          <note position="left" xml:space="preserve">20</note>
          <note position="left" xml:space="preserve">30</note>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s33543" xml:space="preserve">HORAE deſcribentur ex latitudinibus vmbrarum à punctis K, L, ſupputatis, earumq́ue
              <lb/>
            longitudinibus, vt in Meridiano horologio, atque polari; </s>
            <s xml:id="echoid-s33544" xml:space="preserve">eruntq́ue horæ à mer. </s>
            <s xml:id="echoid-s33545" xml:space="preserve">& </s>
            <s xml:id="echoid-s33546" xml:space="preserve">med. </s>
            <s xml:id="echoid-s33547" xml:space="preserve">noc.
              <lb/>
            </s>
            <s xml:id="echoid-s33548" xml:space="preserve">ad ęquinoctialem lineam perpendiculares, atque inter ſe parallelæ, vt in illis. </s>
            <s xml:id="echoid-s33549" xml:space="preserve">Horizontalis li-
              <lb/>
            nea ducenda eſt per punctum H, vbi hora 6. </s>
            <s xml:id="echoid-s33550" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s33551" xml:space="preserve">vel med.</s>
            <s xml:id="echoid-s33552" xml:space="preserve">noc.</s>
            <s xml:id="echoid-s33553" xml:space="preserve">ęquinoctialem lineam ſecat, ip-
              <lb/>
              <note position="left" xlink:label="note-0536-07" xlink:href="note-0536-07a" xml:space="preserve">Linea @otlzon-
                <lb/>
              @al@s.</note>
            ſi A B, parallela, vel ad D E, perpendicularis. </s>
            <s xml:id="echoid-s33554" xml:space="preserve">Quòd ſi in recta D E, ſurſum verſus numeremus
              <lb/>
            vmbram P.</s>
            <s xml:id="echoid-s33555" xml:space="preserve">9.</s>
            <s xml:id="echoid-s33556" xml:space="preserve">M.</s>
            <s xml:id="echoid-s33557" xml:space="preserve">26. </s>
            <s xml:id="echoid-s33558" xml:space="preserve">quæ inclinationi planiad Horizontem reſpondet, vſque ad I, ducenda erit
              <lb/>
            horizontalis linea per I, &</s>
            <s xml:id="echoid-s33559" xml:space="preserve">c. </s>
            <s xml:id="echoid-s33560" xml:space="preserve">Vel ſi in recta A B, ſumatur C M,ſtylo æqualis, fiatq́ue angulus
              <lb/>
              <note position="left" xlink:label="note-0536-08" xlink:href="note-0536-08a" xml:space="preserve">50</note>
            complementi inclinationis C M I, ſecabitur rurſus recta D E, in I, puncto, per quod linea ho-
              <lb/>
            tizontalis ducitur, &</s>
            <s xml:id="echoid-s33561" xml:space="preserve">c.</s>
            <s xml:id="echoid-s33562" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s33563" xml:space="preserve">PRO horologio ſuperiore declinante à Septentrionein occaſum grad. </s>
            <s xml:id="echoid-s33564" xml:space="preserve">20. </s>
            <s xml:id="echoid-s33565" xml:space="preserve">& </s>
            <s xml:id="echoid-s33566" xml:space="preserve">ad Horizontem
              <lb/>
            ex parte auſtrali inclinato grad. </s>
            <s xml:id="echoid-s33567" xml:space="preserve">30. </s>
            <s xml:id="echoid-s33568" xml:space="preserve">accipiantur ſubſequentes tabellę pro horis à mer. </s>
            <s xml:id="echoid-s33569" xml:space="preserve">& </s>
            <s xml:id="echoid-s33570" xml:space="preserve">med.
              <lb/>
            </s>
            <s xml:id="echoid-s33571" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s33572" xml:space="preserve">ſupputatæ. </s>
            <s xml:id="echoid-s33573" xml:space="preserve">In quibus latitudines vmbrarum inferiores ſunt illę, quę citra Verticalem pro-
              <lb/>
            prium horologii exiſtunt verſus æquinoctialem lineam, ſuperiores autem illę, quæ vltra eundem
              <lb/>
            Verticalem verſus centrum horologii reperiuntur.</s>
            <s xml:id="echoid-s33574" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1707" type="section" level="1" n="455">
          <head xml:id="echoid-head480" xml:space="preserve">SEQVVNTVR TABELLAE.</head>
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