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-s15231" xml:space="preserve">
              <pb o="223" file="0243" n="243" rhead="LIBER SECVNDVS."/>
            meridianæ H I, deſcripti erunt circuli Verticales. </s>
            <s xml:id="echoid-s15232" xml:space="preserve">Facile autem ducentur hæ lineæ æquidiſtantes,
              <lb/>
            ſi per quodcunque punctum lineæ meridianæ, vt per B, horizontali lineæ parallela agatur, & </s>
            <s xml:id="echoid-s15233" xml:space="preserve">om-
              <lb/>
            nia puncta lineæ horizontalis beneficio circini ex G, ſumpta transferantur in dictam parallelam
              <lb/>
            ex puncto B. </s>
            <s xml:id="echoid-s15234" xml:space="preserve">Nam rectæ connectentes bina puncta æqualiter à G, & </s>
            <s xml:id="echoid-s15235" xml:space="preserve">B, remota ipſi G B, pa-
              <lb/>
              <note position="right" xlink:label="note-0243-01" xlink:href="note-0243-01a" xml:space="preserve">33. primi.</note>
            rallelæ erunt.</s>
            <s xml:id="echoid-s15236" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15237" xml:space="preserve">QVOD autem
              <lb/>
              <figure xlink:label="fig-0243-01" xlink:href="fig-0243-01a" number="168">
                <image file="0243-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0243-01"/>
              </figure>
              <note position="right" xlink:label="note-0243-02" xlink:href="note-0243-02a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcription is
                <lb/>
              Verticalium c
                <unsure/>
              it
                <lb/>
              culorum.</note>
            huiuſmodi parallelæ
              <lb/>
            ſint in plano Vertica
              <lb/>
            lis horologii circuli
              <lb/>
            Verticales, ſeu potius
              <lb/>
              <note position="left" xlink:label="note-0243-03" xlink:href="note-0243-03a" xml:space="preserve">10</note>
            communes ſectiones
              <lb/>
            Verticalium circulo-
              <lb/>
            rum, & </s>
            <s xml:id="echoid-s15238" xml:space="preserve">pìani horo-
              <lb/>
            logii Verticalis, hac
              <lb/>
            ratione demonſtrabi
              <lb/>
            mus. </s>
            <s xml:id="echoid-s15239" xml:space="preserve">Intelligatur pla
              <lb/>
            num circuli ex A, de-
              <lb/>
            ſcripti circa horizon
              <lb/>
            talem lineam circum
              <lb/>
            uerti, donec centrum
              <lb/>
              <note position="left" xlink:label="note-0243-04" xlink:href="note-0243-04a" xml:space="preserve">20</note>
            A, coniungatur cum
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            D, vertice ſtyli, ita vt
              <lb/>
            idem ſit, quod pla-
              <lb/>
            num Horizontis per
              <lb/>
            lineam horizontalẽ,
              <lb/>
            & </s>
            <s xml:id="echoid-s15240" xml:space="preserve">gnomonem G D,
              <lb/>
            tranſeuntis. </s>
            <s xml:id="echoid-s15241" xml:space="preserve">Quoniã
              <lb/>
            igitur communes ſe-
              <lb/>
            ctiones Horizontis ac circulorum Verticaliũ per polos Horizontis incedentium diuidunt Hori-
              <lb/>
            zontem, atque adeo & </s>
            <s xml:id="echoid-s15242" xml:space="preserve">circulum ex A, deſcriptum, (cum in tali poſitione idem centrum habeant
              <lb/>
              <note position="left" xlink:label="note-0243-05" xlink:href="note-0243-05a" xml:space="preserve">30</note>
            Horizon, & </s>
            <s xml:id="echoid-s15243" xml:space="preserve">circulus dictus) in partes æquales; </s>
            <s xml:id="echoid-s15244" xml:space="preserve">erunt rectæ ex A, per puncta diuiſionum tranſeun
              <lb/>
            tes, communes ſectiones Verticalium, & </s>
            <s xml:id="echoid-s15245" xml:space="preserve">Horizontis. </s>
            <s xml:id="echoid-s15246" xml:space="preserve">Quare Verticales circuli ſecabunt planum
              <lb/>
            horologii in punctis, in quibus dictæ ſectiones communes lineæ horizontali occurrunt. </s>
            <s xml:id="echoid-s15247" xml:space="preserve">Quoniã
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            verò, ex propoſ. </s>
            <s xml:id="echoid-s15248" xml:space="preserve">18. </s>
            <s xml:id="echoid-s15249" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15250" xml:space="preserve">communes ſectiones Verticalium circulorum, & </s>
            <s xml:id="echoid-s15251" xml:space="preserve">plani horolo-
              <lb/>
            gii Verticalis parallelæ ſunt, quòd planum horologij Verticalis æquidiſtet communi illorum ſe-
              <lb/>
            ctioni, nempe axi Horizontis per verticem, eiusq́ue oppoſitum ducto; </s>
            <s xml:id="echoid-s15252" xml:space="preserve">manifeſtum eſt, rectas il-
              <lb/>
            las, quæ meridianæ lineæ (quę vna eſt ex Verticalibus lineis) parallelæ ſunt, eſſe communes ſectio-
              <lb/>
            nes circulorum Verticalium, & </s>
            <s xml:id="echoid-s15253" xml:space="preserve">plani horologii. </s>
            <s xml:id="echoid-s15254" xml:space="preserve">Verticalis autem propriè dictus proiici non po-
              <lb/>
            teſt in planum horologii, cum ei æquidiſtet, atque adeò nullam in eo ſectionem faciat. </s>
            <s xml:id="echoid-s15255" xml:space="preserve">Circulos
              <unsure/>
              <lb/>
            ergo Verticales in eodem Verticali horologio deſcripſimus. </s>
            <s xml:id="echoid-s15256" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s15257" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
        </div>
        <div xml:id="echoid-div770" type="section" level="1" n="183">
          <head xml:id="echoid-head186" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s15258" xml:space="preserve">PERSPICVVM autem eſt, hos circulos Verticales, auſtrales eſſe in horologio, quod ad meri-
              <lb/>
              <note position="right" xlink:label="note-0243-07" xlink:href="note-0243-07a" xml:space="preserve">Verticales @ir-
                <lb/>
              culi in auſtrali
                <lb/>
              horologio om-
                <lb/>
              nes ſunt auſtra
                <lb/>
              les, & boreal@s
                <lb/>
              in boreali.</note>
            diem ſpectat; </s>
            <s xml:id="echoid-s15259" xml:space="preserve">In eo verò, quod ad Bore@m, Septentrionales. </s>
            <s xml:id="echoid-s15260" xml:space="preserve">In vtroque porrò numerus graduum ter-
              <lb/>
            minatur in linea meridiana; </s>
            <s xml:id="echoid-s15261" xml:space="preserve">eadem{q́ue} vtrobique eſt deſcriptio. </s>
            <s xml:id="echoid-s15262" xml:space="preserve">Vnde & </s>
            <s xml:id="echoid-s15263" xml:space="preserve">hic linea horizontalis abſcindet
              <lb/>
            portionem, quæ ponenda erit in facie boreali, ita tamen vt horizont alis linea in ſuperiori loco collocetur,
              <lb/>
            vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s15264" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15265" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15266" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s15267" xml:space="preserve">Non eſt autem hic opus mutare dextram partem
              <lb/>
            in ſiniſtram, & </s>
            <s xml:id="echoid-s15268" xml:space="preserve">contra; </s>
            <s xml:id="echoid-s15269" xml:space="preserve">quia ij dem numeri ſunt in vtraque parte, & </s>
            <s xml:id="echoid-s15270" xml:space="preserve">eundem ſitum habent lineę Verti-
              <lb/>
            cales ad vtraſque partes meridianæ lineæ, vt conſtat.</s>
            <s xml:id="echoid-s15271" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
        </div>
        <div xml:id="echoid-div772" type="section" level="1" n="184">
          <head xml:id="echoid-head187" xml:space="preserve">PROBLEMA 17. PROPOSITIO 17.</head>
          <p>
            <s xml:id="echoid-s15272" xml:space="preserve">PARALLELOS Horizontis in codem horologio Verticali
              <lb/>
            deſcribere.</s>
            <s xml:id="echoid-s15273" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15274" xml:space="preserve">DESCRIBATVR Analemmatis Meridianus A B C D, in quo Horizontis diameter B D;
              <lb/>
            </s>
            <s xml:id="echoid-s15275" xml:space="preserve">
              <note position="right" xlink:label="note-0243-09" xlink:href="note-0243-09a" xml:space="preserve">Deſcriptio pa-
                <lb/>
              rallelorum Ho
                <lb/>
              rizontis, ſiue Al
                <lb/>
              mucatarath, in
                <lb/>
              eodem Verti@@
                <lb/>
              li horologio.</note>
            diameter Verticalis A C. </s>
            <s xml:id="echoid-s15276" xml:space="preserve">Diuiſo autem vtroque quadrante A B, A D, in 90 partes æquales, vt ſin
              <lb/>
            gulæ partes ſingulos complectantur gradus, vel in pauciores; </s>
            <s xml:id="echoid-s15277" xml:space="preserve">pro magnitudine horologii, (Nos
              <lb/>
            vtrumque partiti ſumus in fex, vt ſingulæ partes reſpondeant 15. </s>
            <s xml:id="echoid-s15278" xml:space="preserve">gradibus) iungantur bina puncta
              <lb/>
            æqualiter à recta B D, diſtantia lineis rectis, quæ communes ſectiones erunt Meridiani, & </s>
            <s xml:id="echoid-s15279" xml:space="preserve"/>
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