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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        <div xml:id="echoid-div589" type="section" level="1" n="147">
          <p>
            <s xml:id="echoid-s10985" xml:space="preserve">
              <pb o="170" file="0190" n="190" rhead="GNOMONICES"/>
            rallelę, ſingulę ſingulis; </s>
            <s xml:id="echoid-s10986" xml:space="preserve">propterea quòd anguli H D A, D H I, æquales ſunt duobus rectis. </s>
            <s xml:id="echoid-s10987" xml:space="preserve">Eſt enim,
              <lb/>
            per conſtructionem angulus H D I, rectus, & </s>
            <s xml:id="echoid-s10988" xml:space="preserve">D H I, angulus altitudinis poli, atque A D I, (qui ex
              <lb/>
            ſcholio propoſ. </s>
            <s xml:id="echoid-s10989" xml:space="preserve">33. </s>
            <s xml:id="echoid-s10990" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10991" xml:space="preserve">angulus eſt complementi altitudinis poli) ſimul etiam æquales
              <lb/>
            vni recto, &</s>
            <s xml:id="echoid-s10992" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10993" xml:space="preserve">Itaque parallelos arcuum diurnorum in eodem horologio horizontali deſcripſi-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s10994" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s10995" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div592" type="section" level="1" n="148">
          <head xml:id="echoid-head151" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s10996" xml:space="preserve">HIC quoque parallelis arcuum diurnorum apponi poſſunt magnitudines dierum, & </s>
            <s xml:id="echoid-s10997" xml:space="preserve">crepuſculorum,
              <lb/>
              <note position="left" xlink:label="note-0190-01" xlink:href="note-0190-01a" xml:space="preserve">Quid aſeribe@-
                <lb/>
              dũ ſit arcubus
                <lb/>
              diurnis in horo
                <lb/>
              logio deſcriptis.</note>
            & </s>
            <s xml:id="echoid-s10998" xml:space="preserve">alia huiuſmodi, vt dies menſium reſpondentes illis parallelis, & </s>
            <s xml:id="echoid-s10999" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11000" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s11001" xml:space="preserve">EST autem horum parallelorum vſus, vt per eos diſcamus, quotnam horas quilibet dies anni conti-
              <lb/>
              <note position="left" xlink:label="note-0190-03" xlink:href="note-0190-03a" xml:space="preserve">Vſus arcuum
                <lb/>
              diurnorũ in ho
                <lb/>
              rologio deſcri-
                <lb/>
              ptorum, quibus
                <lb/>
              cognoſcimus,
                <lb/>
              quot horas com
                <lb/>
              plectatur quili-
                <lb/>
              bet dies propo-
                <lb/>
              fit@@.</note>
            neat. </s>
            <s xml:id="echoid-s11002" xml:space="preserve">Nam quando vmbra gnomonis cadit præcisè in arcum aliquem diurnum, comprehendet dies tunc
              <lb/>
            præcisè tothoras, quot illi arcui ſunt aſcriptæ. </s>
            <s xml:id="echoid-s11003" xml:space="preserve">Si autem vmbra ſtyli non præcisè in aliquem arcum ca-
              <lb/>
            dat, ſed in ſpatium inter duos arcus comprehenſum, iudicabimus plus minus, quot horarum tunc dies exi-
              <lb/>
            ſtat, habita ratione diſtantiæ vmbræ à propinquiore arcu, dummodo in memoriam reuocemus, dies à duo-
              <lb/>
            decimo Iunij vſque ad duodecimum Decembris decreſcere hac tempeſtate; </s>
            <s xml:id="echoid-s11004" xml:space="preserve">at verò eoſdem augeri à duo-
              <lb/>
            decimo Decembris vſque ad duodecimum Iunij. </s>
            <s xml:id="echoid-s11005" xml:space="preserve">Vnde ſi, verbi gratia, vmbra cadat in medium ſpatium
              <lb/>
            inter arcus horarum 13. </s>
            <s xml:id="echoid-s11006" xml:space="preserve">& </s>
            <s xml:id="echoid-s11007" xml:space="preserve">14. </s>
            <s xml:id="echoid-s11008" xml:space="preserve">ſi quidem hoc fiat eo anni tempore, quod inter duodecimum diem Iunij,
              <lb/>
            & </s>
            <s xml:id="echoid-s11009" xml:space="preserve">duodecimum diẽ Decembris interijcitur, continebit tunc dies horas ferè 13 {1/2}. </s>
            <s xml:id="echoid-s11010" xml:space="preserve">quia tunc Sol mouetur
              <lb/>
            proprio motu ab arcu diurno horarum 14. </s>
            <s xml:id="echoid-s11011" xml:space="preserve">ad arcũ diurnum horarum 13. </s>
            <s xml:id="echoid-s11012" xml:space="preserve">cum tunc dies deereſcant. </s>
            <s xml:id="echoid-s11013" xml:space="preserve">Si ve-
              <lb/>
              <note position="left" xlink:label="note-0190-04" xlink:href="note-0190-04a" xml:space="preserve">20</note>
            rò idem accidat in reliquo anni tempore, erit rurſus dies horarum quaſi 13 {1/2}. </s>
            <s xml:id="echoid-s11014" xml:space="preserve">quia tunc dies incrementũ
              <lb/>
            ſumunt, at que adeo Sol proprio motu ab arcu diurno horarum 13. </s>
            <s xml:id="echoid-s11015" xml:space="preserve">ad arcum diurnum borarum 14. </s>
            <s xml:id="echoid-s11016" xml:space="preserve">moue-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s11017" xml:space="preserve">Atque ita de ſingulis.</s>
            <s xml:id="echoid-s11018" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div595" type="section" level="1" n="149">
          <head xml:id="echoid-head152" xml:space="preserve">PROBLEMA. 4. PROPOSITIO 4.</head>
          <p>
            <s xml:id="echoid-s11019" xml:space="preserve">CIRCVLOS Verticales, quos Azimuth dicunt, in eodem hori-
              <lb/>
            zontali horologio deſcribere.</s>
            <s xml:id="echoid-s11020" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">30</note>
          <p>
            <s xml:id="echoid-s11021" xml:space="preserve">DVCATVR per G, locum gnomonis in horologio recta A B, ad lineam meridianam H I,
              <lb/>
              <note position="left" xlink:label="note-0190-06" xlink:href="note-0190-06a" xml:space="preserve">Deſ@tiptio cir-
                <lb/>
              culorum Verti-
                <lb/>
              calium in eodẽ
                <lb/>
              horologio hori-
                <lb/>
              zontali.</note>
            perpendicularis. </s>
            <s xml:id="echoid-s11022" xml:space="preserve">Deinde ex G, circulus quicunque deſcriptus diuidatur in partes 360. </s>
            <s xml:id="echoid-s11023" xml:space="preserve">æquales,
              <lb/>
            initio facto à recta A B. </s>
            <s xml:id="echoid-s11024" xml:space="preserve">(Nos ob loci anguſtias eum diſtribuimus tantum in 24. </s>
            <s xml:id="echoid-s11025" xml:space="preserve">vt quælibet con-
              <lb/>
              <figure xlink:label="fig-0190-01" xlink:href="fig-0190-01a" number="139">
                <image file="0190-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0190-01"/>
              </figure>
              <note position="left" xlink:label="note-0190-07" xlink:href="note-0190-07a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0190-08" xlink:href="note-0190-08a" xml:space="preserve">50</note>
            tineat gradus 15.) </s>
            <s xml:id="echoid-s11026" xml:space="preserve">Si enim ex centro G, per diuiſionum puncta rectę educantur, quę tamen intra
              <lb/>
            tropicos contineantur, vt in figura apparet, cum lineamenta extra ipſos ſuperuacanea ſint; </s>
            <s xml:id="echoid-s11027" xml:space="preserve">deſcri-
              <lb/>
            pti erunt circuli Verticales, ſiue Azimuth, hoc eſt, communes ſectiones circulorum Verticalium,
              <lb/>
            & </s>
            <s xml:id="echoid-s11028" xml:space="preserve">plani horologii; </s>
            <s xml:id="echoid-s11029" xml:space="preserve">in quas quidem vmbra gnomonis, ex propoſ. </s>
            <s xml:id="echoid-s11030" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11031" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11032" xml:space="preserve">proiicitur, So-
              <lb/>
            le in dictis circulis exiſtente. </s>
            <s xml:id="echoid-s11033" xml:space="preserve">Quod facile hoc modo demonſtrabitur.</s>
            <s xml:id="echoid-s11034" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11035" xml:space="preserve">QVONIAM tam planum Verticalis propriè dicti, quod per G, tranſit, (Eſt enim gnomon
              <lb/>
              <note position="left" xlink:label="note-0190-09" xlink:href="note-0190-09a" xml:space="preserve">Demonſtrat@o
                <lb/>
              deſcriptionis
                <lb/>
              Ver@calium.</note>
            horologij horizontalis pars ſectionis communis Meridiani, & </s>
            <s xml:id="echoid-s11036" xml:space="preserve">Verticalis circuli propriè dicti, </s>
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