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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          <p>
            <s xml:id="echoid-s11124" xml:space="preserve">
              <pb o="172" file="0192" n="192" rhead="GNOMONICES"/>
            poſ. </s>
            <s xml:id="echoid-s11125" xml:space="preserve">12. </s>
            <s xml:id="echoid-s11126" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11127" xml:space="preserve">vmbra ſtyli cadit, Sole in dictis circulis altitudinum exiſtente. </s>
            <s xml:id="echoid-s11128" xml:space="preserve">Quod hune
              <lb/>
            in modum confirmabimus.</s>
            <s xml:id="echoid-s11129" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11130" xml:space="preserve">PERFICIATVR totus circulus G H C B, referens Meridianum, producanturq́ue ſemi-
              <lb/>
              <note position="left" xlink:label="note-0192-01" xlink:href="note-0192-01a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis pa
                <lb/>
              rallelorum Ho-
                <lb/>
              rizontis.</note>
              <figure xlink:label="fig-0192-01" xlink:href="fig-0192-01a" number="140">
                <image file="0192-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0192-01"/>
              </figure>
            diametri B A, A C, unà cum recta
              <lb/>
            E D, ad puncta H, G, L. </s>
            <s xml:id="echoid-s11131" xml:space="preserve">Poſita igi-
              <lb/>
            tur H B, communi ſectione Hori-
              <lb/>
            zontis, ac Meridiani, erit G C, com
              <lb/>
            munis ſectio eiuſdem Meridiani,
              <lb/>
            & </s>
            <s xml:id="echoid-s11132" xml:space="preserve">Verticalis circuli, & </s>
            <s xml:id="echoid-s11133" xml:space="preserve">L E, commu
              <lb/>
            nis ſectio Meridiani eiuſdẽ, & </s>
            <s xml:id="echoid-s11134" xml:space="preserve">pla-
              <lb/>
              <note position="left" xlink:label="note-0192-02" xlink:href="note-0192-02a" xml:space="preserve">10</note>
            ni horologii. </s>
            <s xml:id="echoid-s11135" xml:space="preserve">Quoniam verò ſi re-
              <lb/>
            ctę ex A, per puncta diuiſionum
              <lb/>
            quadrantis B C, eductę, per cen-
              <lb/>
            trum producantur, anguli ad verti-
              <lb/>
            cem A, ęq́uales fiunt, erunt arcus
              <lb/>
              <note position="left" xlink:label="note-0192-03" xlink:href="note-0192-03a" xml:space="preserve">15. primi.</note>
              <note position="left" xlink:label="note-0192-04" xlink:href="note-0192-04a" xml:space="preserve">26. tertij.</note>
            in quadrante H G, ęquáles arcubus
              <lb/>
            in quadrante B C. </s>
            <s xml:id="echoid-s11136" xml:space="preserve">Rectæ igitur per
              <lb/>
            puncta quadrantis H G, ductę & </s>
            <s xml:id="echoid-s11137" xml:space="preserve">
              <lb/>
            ipſi H B, æquidiſtantes, communes
              <lb/>
            ſectiones ſunt Meridiani, & </s>
            <s xml:id="echoid-s11138" xml:space="preserve">circulo
              <lb/>
              <note position="left" xlink:label="note-0192-05" xlink:href="note-0192-05a" xml:space="preserve">20</note>
            rum altitudinum, ſiue Almucanta-
              <lb/>
            rath, à quarum punctis extremis re
              <lb/>
            ctæ per centrum A, ductæ conſti-
              <lb/>
            tuent triãgula per axem conorum,
              <lb/>
            quorum baſes ſunt Horizontis pa-
              <lb/>
            ralleli, cuiuſinodi ſunt triangula A K I, A L E.</s>
            <s xml:id="echoid-s11139" xml:space="preserve">
              <unsure/>
            Et quia planum horologij per rectam L E, ductum
              <lb/>
            Horizonti, atque adeò & </s>
            <s xml:id="echoid-s11140" xml:space="preserve">baſibus conorum æquidiſtans, facit, per propoſ. </s>
            <s xml:id="echoid-s11141" xml:space="preserve">4 ſuperioris lib. </s>
            <s xml:id="echoid-s11142" xml:space="preserve">ſectio-
              <lb/>
            nes communes conicarum illarum ſuperficierum, circulos centra habentes in axe conorum; </s>
            <s xml:id="echoid-s11143" xml:space="preserve">erit
              <lb/>
            D, locus ſtyli, centrum illorum circulorum, rectæ verò D E, D F, &</s>
            <s xml:id="echoid-s11144" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11145" xml:space="preserve">quas latera triangulorum per
              <lb/>
            axem abrumpunt, eorundem ſemidiametri, vt ex dicta propoſ. </s>
            <s xml:id="echoid-s11146" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11147" xml:space="preserve">præcedentis lib. </s>
            <s xml:id="echoid-s11148" xml:space="preserve">conſtat: </s>
            <s xml:id="echoid-s11149" xml:space="preserve">Ac pro-
              <lb/>
              <note position="left" xlink:label="note-0192-06" xlink:href="note-0192-06a" xml:space="preserve">30</note>
            inde, ſi ex G, loco ſtyli in horologio ad interualla rectarum inter D, & </s>
            <s xml:id="echoid-s11150" xml:space="preserve">rectas ex A, egredientes cõ-
              <lb/>
            prehenſarum circuli deſcribantur, erunt hi circuli altitudinum. </s>
            <s xml:id="echoid-s11151" xml:space="preserve">Quare parallelos Horizontis, &</s>
            <s xml:id="echoid-s11152" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s11153" xml:space="preserve">in eodem horologio horizontali deſcripſimus. </s>
            <s xml:id="echoid-s11154" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s11155" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div605" type="section" level="1" n="152">
          <head xml:id="echoid-head155" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s11156" xml:space="preserve">DVCVNT nos paralleli Horizontis in notitiam altitudinis Solis quouis tempore, quo vmbram
              <lb/>
              <note position="left" xlink:label="note-0192-07" xlink:href="note-0192-07a" xml:space="preserve">@ ſus parallelo-
                <lb/>
              rum Horizõtis
                <lb/>
              in horologio de
                <lb/>
              ſcriptorum eſt,
                <lb/>
              ut
                <unsure/>
              ex ipſis altitu
                <lb/>
              dinem Solis co
                <lb/>
              gnoſcamus.</note>
            ſtyli in horologio obſeruamus. </s>
            <s xml:id="echoid-s11157" xml:space="preserve">Quandocunque enim vmbra gnomonis cadit v. </s>
            <s xml:id="echoid-s11158" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11159" xml:space="preserve">in parallelum, cui appo-
              <lb/>
            ſitus eſt numerus hic, 30. </s>
            <s xml:id="echoid-s11160" xml:space="preserve">continet Solis altitudo, hoc eſt, arcus circuli illius Verticalis, qui tunc temporis
              <lb/>
            per Solis centrum ducitur, inter centrum Solis, ſiue parallelum Horizontis per Solis centrum tunc
              <lb/>
              <note position="left" xlink:label="note-0192-08" xlink:href="note-0192-08a" xml:space="preserve">40</note>
            etiam tranſeuntem, & </s>
            <s xml:id="echoid-s11161" xml:space="preserve">Horizontem interiectus, grad. </s>
            <s xml:id="echoid-s11162" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11163" xml:space="preserve">&</s>
            <s xml:id="echoid-s11164" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11165" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div607" type="section" level="1" n="153">
          <head xml:id="echoid-head156" xml:space="preserve">PROBLEMA 6. PROPOSITIO 6.</head>
          <p>
            <s xml:id="echoid-s11166" xml:space="preserve">MERIDIANOS, ſeu circulos longitudinum ciuitatum, in eo-
              <lb/>
            dem horologio horizontali deſcribere.</s>
            <s xml:id="echoid-s11167" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11168" xml:space="preserve">QVONIAM circuli Meridiani per polos mundi incedunt, quemadmodum & </s>
            <s xml:id="echoid-s11169" xml:space="preserve">circuli ho-
              <lb/>
              <note position="left" xlink:label="note-0192-09" xlink:href="note-0192-09a" xml:space="preserve">Deſcriptio Me-
                <lb/>
              ridianorum in
                <lb/>
              eodem horolo-
                <lb/>
              gio horizontali.</note>
            rarij, qui horas à meridie, vel media nocte monſtrant, non differet Meridianorum deſcriptio à
              <lb/>
              <note position="left" xlink:label="note-0192-10" xlink:href="note-0192-10a" xml:space="preserve">50</note>
            deſcriptione circulorum horariorum à meridie, vel media nocte. </s>
            <s xml:id="echoid-s11170" xml:space="preserve">Itaque circulus ex E, deſcriptus
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s11171" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11172" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s11173" xml:space="preserve">ſecetur in partes 360. </s>
            <s xml:id="echoid-s11174" xml:space="preserve">æquales vel in paueiores, vt in 24. </s>
            <s xml:id="echoid-s11175" xml:space="preserve">ita vt quælibet
              <lb/>
            complectatur grad. </s>
            <s xml:id="echoid-s11176" xml:space="preserve">15. </s>
            <s xml:id="echoid-s11177" xml:space="preserve">vt à nobis factum eſt, initio ſumpto non à linea meridiana, ſed ab eo
              <lb/>
            puncto, per quod tranſit Meridianus per Inſulas Fortunatas ductus, à quo videlicet longitudines
              <lb/>
            locorum, atque adeo Meridiani circuli, initium ſumunt, cuiuſmodi eſt punctum A; </s>
            <s xml:id="echoid-s11178" xml:space="preserve">quod quidem
              <lb/>
            habetur, numerando à linea meridiana longitudinem loci, in quo horologium deſcriptum eſt, à
              <lb/>
            puncto B, verſus occidentales partes, nimirum ad dexteram procedendo. </s>
            <s xml:id="echoid-s11179" xml:space="preserve">Hæc enim pars ad oc-
              <lb/>
            cidentem vergit, vt conſtat, ſi horologium in proprio ſitu collocetur, circulusq́; </s>
            <s xml:id="echoid-s11180" xml:space="preserve">ex E, deſcriptus
              <lb/>
            in plano Aequatoris intelligatur eſſe conſtitutus. </s>
            <s xml:id="echoid-s11181" xml:space="preserve">Nos numerauimus à puncto B, vſque ad A, grad.
              <lb/>
            </s>
            <s xml:id="echoid-s11182" xml:space="preserve">36. </s>
            <s xml:id="echoid-s11183" xml:space="preserve">longitudinem ſcilicet Vrbis Romæ. </s>
            <s xml:id="echoid-s11184" xml:space="preserve">Reliqua fiant, vt de lineis horariis à meridie, vel
              <lb/>
            media nocte deſcribendis propoſ. </s>
            <s xml:id="echoid-s11185" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11186" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s11187" xml:space="preserve">dictum eſt, deſcriptiq́ue erunt circuli </s>
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