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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            <s xml:id="echoid-s20117" xml:space="preserve">
              <pb o="298" file="0314" n="314" rhead="GNOMONICES"/>
            die, vel media nocte. </s>
            <s xml:id="echoid-s20118" xml:space="preserve">Quæ autem ſint lineæ horarum à meridie, & </s>
            <s xml:id="echoid-s20119" xml:space="preserve">quæ à media nocte, facile in-
              <lb/>
            telligi poteſt, ſi circulus ex L, deſcriptus cõcipiatur in propria poſitione, & </s>
            <s xml:id="echoid-s20120" xml:space="preserve">ea diligenter cõſideren
              <lb/>
            tur, quæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s20121" xml:space="preserve">1. </s>
            <s xml:id="echoid-s20122" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s20123" xml:space="preserve">ſcripſimus de ſectionibus rectarũ circuli ex L, deſcri-
              <lb/>
            pti (qui nimirũ in 24. </s>
            <s xml:id="echoid-s20124" xml:space="preserve">horas diuiditur) cũ linea ęquinoctiali, obſeruãdo nimirũ ſemper, ſi horolo-
              <lb/>
            giũ, & </s>
            <s xml:id="echoid-s20125" xml:space="preserve">circulus ex L, deſcriptus, in propriis poſitionibus intelligantur, ea puncta diuiſionũ, quę ſe-
              <lb/>
            quuntur ex parte ſuperiori cõmunem ſectionẽ Meridiani & </s>
            <s xml:id="echoid-s20126" xml:space="preserve">Aequatoris, nempe rectã L M, verſus
              <lb/>
              <figure xlink:label="fig-0314-01" xlink:href="fig-0314-01a" number="216">
                <image file="0314-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0314-01"/>
              </figure>
              <note position="left" xlink:label="note-0314-01" xlink:href="note-0314-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0314-02" xlink:href="note-0314-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0314-03" xlink:href="note-0314-03a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0314-04" xlink:href="note-0314-04a" xml:space="preserve">40</note>
            occidentẽ, pertinere ad horas à meridie, quæ verò eandẽ L M, ſequuntur ex parte inferiori verſus
              <lb/>
            orientẽ, horas à media nocte indicare. </s>
            <s xml:id="echoid-s20127" xml:space="preserve">Et quoniã, vt in eodẽ ſcholio docuimus, horæ illæ in horo-
              <lb/>
            logio ſcribendæ ſunt, quarũ lineæ in circulo ex L, deſcripto prius occurrũt centro L, quàm plano
              <lb/>
            horologij, facile poterit cognoſci, quænam puncta lineæ æquinoctialis indicent horas à meridie,
              <lb/>
            & </s>
            <s xml:id="echoid-s20128" xml:space="preserve">quæ horas à media nocte. </s>
            <s xml:id="echoid-s20129" xml:space="preserve">Rectè ergo conſtructio horologij declinantis inſtituta eſt à nobis.
              <lb/>
            </s>
            <s xml:id="echoid-s20130" xml:space="preserve">Quòd autem recta per C, ducta lineæ æquinoctiali æquidiſtans referat horam illam, à cuius pun
              <lb/>
            cto in circulo ex L, deſcripto recta ducta per L, eidem æquinoctiali æquidiſtat, (quod quidem
              <lb/>
            nonnunquam, licet rarò, contingere ſolet) facile demonſtrabimus hoc modo. </s>
            <s xml:id="echoid-s20131" xml:space="preserve">Quoniam paralle-
              <lb/>
            la illa per L, ducta, communis ſectio eſt Aequatoris, & </s>
            <s xml:id="echoid-s20132" xml:space="preserve">circuli horarii per illam ducti, cui quidem
              <lb/>
              <note position="left" xlink:label="note-0314-05" xlink:href="note-0314-05a" xml:space="preserve">50</note>
            communi ſectioni, ſi circulus ex L, deſcriptus propriam intelligatur habere poſitionem, planum
              <lb/>
            horologii æquidiſtat, (alioquin parallela illa producta planũ horologii ſecaret, atqueadeo & </s>
            <s xml:id="echoid-s20133" xml:space="preserve">li-
              <lb/>
            neam æquinoctialem, quæ in eodẽ Aequatoris plano, in quo illa parallela exiſtit, quod abſurdum
              <lb/>
            eſt; </s>
            <s xml:id="echoid-s20134" xml:space="preserve">cum æquinoctiali lineæ ſit parallela) erunt per propoſ. </s>
            <s xml:id="echoid-s20135" xml:space="preserve">18. </s>
            <s xml:id="echoid-s20136" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20137" xml:space="preserve">1. </s>
            <s xml:id="echoid-s20138" xml:space="preserve">parallelæ inter ſeſe commu-
              <lb/>
            nes ſectiones factę à plano horologii in Aequatore, & </s>
            <s xml:id="echoid-s20139" xml:space="preserve">dicto circulo horario, hoc eſt, linea æqui-
              <lb/>
              <note position="left" xlink:label="note-0314-06" xlink:href="note-0314-06a" xml:space="preserve">Deſcriptio ho-
                <lb/>
              rologii declinã
                <lb/>
              tis à Verticali
                <lb/>
              proxime tradi-
                <lb/>
              ta non recte re-
                <lb/>
              prehenditur à
                <lb/>
              loan. Baptiſta
                <lb/>
              Benedicto in
                <lb/>
              ſua Gnomoni-
                <lb/>
              e
                <unsure/>
              a.</note>
            noctialis, & </s>
            <s xml:id="echoid-s20140" xml:space="preserve">horaria linea dicti circuli horarii. </s>
            <s xml:id="echoid-s20141" xml:space="preserve">Quare recta per C, ducta lineæ æquinoctiali æqui-
              <lb/>
            diſtans referet horam illam, à cuius puncto in circulo ex L, deſcripto, recta ducta per L, eidẽ æqui
              <lb/>
            noctiali lineæ æquidiſtat, vt in conſtructione diximus.</s>
            <s xml:id="echoid-s20142" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20143" xml:space="preserve">EX his liquido conſtat, non recte à Ioan. </s>
            <s xml:id="echoid-s20144" xml:space="preserve">Baptiſta Benedicto in ſua Gnomonica cap. </s>
            <s xml:id="echoid-s20145" xml:space="preserve">49. </s>
            <s xml:id="echoid-s20146" xml:space="preserve">repre-
              <lb/>
            hendi hanc rationem deſcribendi horologii declinantis, qua omnes ferealii ſcriptores vtuntur.
              <lb/>
            </s>
            <s xml:id="echoid-s20147" xml:space="preserve">quoniam, vt ex demonſtratione à nobis allata conſtat, rectè per eam lineæ horariæ in plano, </s>
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