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="405" file="0421" n="421" rhead="LIBER TERTIVS."/>
          <p>
            <s xml:id="echoid-s26671" xml:space="preserve">QVOD ſi quando recta C D, non fuerit una ex Verticalibus lineis, ſed tamen æqualiter
              <lb/>
            diſtiterit à duabus hinc inde poſitis, continebunt eodem modo ſingulæ lineæ ex D, emiſſæ bi-
              <lb/>
            nos numeros: </s>
            <s xml:id="echoid-s26672" xml:space="preserve">ſuprema tamen D E, quæ rectæ C D, in horologio reſpondet, nullum habebit
              <lb/>
            affixum numerum. </s>
            <s xml:id="echoid-s26673" xml:space="preserve">Si uero C D, neque una fuerit ex lineis Verticalibus, neque ęqualiter à pro-
              <lb/>
              <note position="right" xlink:label="note-0421-01" xlink:href="note-0421-01a" xml:space="preserve">Quid agend@
                <lb/>
              ſit, quando re-
                <lb/>
              cta C D, in horo
                <unsure/>
                <lb/>
              logio anteced@
                <lb/>
              tis propoſ. in-
                <lb/>
              @qualiter diſtar
                <lb/>
              à Verticali bus
                <lb/>
              lineis hinc i@-
                <lb/>
              de poſitis.</note>
            ximis duabus hinc inde poſitis receſſerit, aſcribendi erunt ſingulis rectis ex D, prodeuntibus
              <lb/>
            ſinguli numeri duntaxat, quia tunc interualla omnia inter D, & </s>
            <s xml:id="echoid-s26674" xml:space="preserve">horizontalem lineam inæqua-
              <lb/>
            lia erunt. </s>
            <s xml:id="echoid-s26675" xml:space="preserve">Quoniam uerò tunc nulla linea Verticalis lineæ horizontali parallela eſt, ducenda
              <lb/>
            erit per C, linea occulta lineæ horizontali æquidiſtans in horologio, cui reſpondebit recta D F,
              <lb/>
            in proxima figura rectæ A B, æquidiſtans. </s>
            <s xml:id="echoid-s26676" xml:space="preserve">Deinde ad dextram rectę D F, transferendę erunt om-
              <lb/>
            nes rectæ ad ſiniſtram eiuſdem D F, poſitæ. </s>
            <s xml:id="echoid-s26677" xml:space="preserve">Hæ enim reſpondebunt lineis Verticalibus, quæ hori-
              <lb/>
              <note position="left" xlink:label="note-0421-02" xlink:href="note-0421-02a" xml:space="preserve">10</note>
            zontalem lineam nõ ſecant, ſed vltra punctum C, ſunt productæ, quemadmodum de lineis hora-
              <lb/>
            riis diximus in horologio declinante à Vert@cali circulo propoſ. </s>
            <s xml:id="echoid-s26678" xml:space="preserve">2. </s>
            <s xml:id="echoid-s26679" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s26680" xml:space="preserve">Id quod in noſtro
              <lb/>
            etiam exemplo intueri licet. </s>
            <s xml:id="echoid-s26681" xml:space="preserve">Nam quemadmodum in proxima figura linea D 15. </s>
            <s xml:id="echoid-s26682" xml:space="preserve">75. </s>
            <s xml:id="echoid-s26683" xml:space="preserve">ad ſini-
              <lb/>
            ſtram rectæ D F, reſpondet in horologio Verticalibus lineis gra. </s>
            <s xml:id="echoid-s26684" xml:space="preserve">15. </s>
            <s xml:id="echoid-s26685" xml:space="preserve">& </s>
            <s xml:id="echoid-s26686" xml:space="preserve">75. </s>
            <s xml:id="echoid-s26687" xml:space="preserve">quæ horizontalem li-
              <lb/>
            neam ſecantes æqualiter à C D, abſunt, cuiuſmodi ſunt lineæ quæ tertio loco in horologio rectam
              <lb/>
            C D, ſequuntur in utramque partem, ita quoque linea D 75. </s>
            <s xml:id="echoid-s26688" xml:space="preserve">@5. </s>
            <s xml:id="echoid-s26689" xml:space="preserve">ad dexteram rectæ D F, in proxi-
              <lb/>
            ma figura reſpondet
              <unsure/>
            dictis Verticalibus lineis ultra Zenith C, productis, &</s>
            <s xml:id="echoid-s26690" xml:space="preserve">c.</s>
            <s xml:id="echoid-s26691" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s26692" xml:space="preserve">EX radiis parallelorum Horizontis ex A, eductis ad ſiniſtram radii Horizontis A B, deſcribun
              <lb/>
            tur paralleli Horizontis ſupra lineam horizon
              <unsure/>
            talem, qui quidem ad inferius horologium perti-
              <lb/>
            nent, ſi pars ſupra horizontalem lineam inuertatur, vt ſępius dictum eſt in ſuperioribus, ut & </s>
            <s xml:id="echoid-s26693" xml:space="preserve">in
              <lb/>
              <note position="left" xlink:label="note-0421-03" xlink:href="note-0421-03a" xml:space="preserve">20</note>
            propoſ. </s>
            <s xml:id="echoid-s26694" xml:space="preserve">41. </s>
            <s xml:id="echoid-s26695" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s26696" xml:space="preserve">2. </s>
            <s xml:id="echoid-s26697" xml:space="preserve">docuimus. </s>
            <s xml:id="echoid-s26698" xml:space="preserve">Parallelos igitur Horizontis in eodem horologio declinante ſimul
              <lb/>
            & </s>
            <s xml:id="echoid-s26699" xml:space="preserve">inclinato deſignauimus. </s>
            <s xml:id="echoid-s26700" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s26701" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1351" type="section" level="1" n="325">
          <head xml:id="echoid-head336" xml:space="preserve">PROBLEMA 42. PROPOSITIO 42.</head>
          <p>
            <s xml:id="echoid-s26702" xml:space="preserve">MERIDIANOS, ſeu circulos longitudinum ciuitatum, in co-
              <lb/>
            dem horologio declinante ſimul & </s>
            <s xml:id="echoid-s26703" xml:space="preserve">inclinato deſcribere.</s>
            <s xml:id="echoid-s26704" xml:space="preserve"/>
          </p>
          <figure number="279">
            <image file="0421-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0421-01"/>
          </figure>
          <note position="left" xml:space="preserve">30</note>
          <note position="left" xml:space="preserve">40</note>
          <note position="left" xml:space="preserve">50</note>
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