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

Table of Notes

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            <s xml:id="echoid-s37850" xml:space="preserve">
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            ſingulis horis, & </s>
            <s xml:id="echoid-s37851" xml:space="preserve">horarum momentis cadit. </s>
            <s xml:id="echoid-s37852" xml:space="preserve">Sumpta quoque recta I E, æquali ipſi I D, deſcriba-
              <lb/>
            tur ex E, circulus ad quodcunque interuallum, quo diuiſo in 24. </s>
            <s xml:id="echoid-s37853" xml:space="preserve">partes æquales, initio ſacto à li-
              <lb/>
            nea meridiana H N, ducantur per puncta diuiſionum, & </s>
            <s xml:id="echoid-s37854" xml:space="preserve">centrum E, lineæ rectæ occultæ ſecantes
              <lb/>
              <figure xlink:label="fig-0592-01" xlink:href="fig-0592-01a" number="365">
                <image file="0592-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0592-01"/>
              </figure>
              <note position="left" xlink:label="note-0592-01" xlink:href="note-0592-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0592-02" xlink:href="note-0592-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0592-03" xlink:href="note-0592-03a" xml:space="preserve">30</note>
            æquinoctialem lineam F k, in punctis, per quę, & </s>
            <s xml:id="echoid-s37855" xml:space="preserve">punctum H, emiſſæ lineæ rectæ dabunt lineas
              <lb/>
              <note position="left" xlink:label="note-0592-04" xlink:href="note-0592-04a" xml:space="preserve">Lia@@ horatiæ.</note>
            horarum à mer. </s>
            <s xml:id="echoid-s37856" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s37857" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s37858" xml:space="preserve">in plano, quod Horizonti æquidiſtat. </s>
            <s xml:id="echoid-s37859" xml:space="preserve">Pro hora verò ſexta eſt per
              <lb/>
            H, ducenda linea C L, ad H N, perpendicularis, vel æquidiſtans ipſi F K. </s>
            <s xml:id="echoid-s37860" xml:space="preserve">Poſſunt autem dictæ li-
              <lb/>
            neæ horariæ per punctum H, produci in vtramque partem inſinite, licet nos eas ornatus gratia
              <lb/>
            terminauerimus in circunſerentia circuli ex centro H, ad quodcunque interuallum deſcripti. </s>
            <s xml:id="echoid-s37861" xml:space="preserve">De-
              <lb/>
            monſtrationem huius deſcriptionis reperies in ſcholio propoſ. </s>
            <s xml:id="echoid-s37862" xml:space="preserve">1. </s>
            <s xml:id="echoid-s37863" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s37864" xml:space="preserve">2.</s>
            <s xml:id="echoid-s37865" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s37866" xml:space="preserve">PORTIO autem lineæ meridianæ à centro H, verſus lineam æquinoctialem excurrens in-
              <lb/>
              <note position="left" xlink:label="note-0592-05" xlink:href="note-0592-05a" xml:space="preserve">Quæ horæ ante
                <lb/>
              meridianæ ſint,
                <lb/>
              & quę pometi-
                <lb/>
              dianæ.</note>
            dicat horam 12. </s>
            <s xml:id="echoid-s37867" xml:space="preserve">meridiei, & </s>
            <s xml:id="echoid-s37868" xml:space="preserve">reliqua portio ab eodem centro H, inchoata horam 12. </s>
            <s xml:id="echoid-s37869" xml:space="preserve">mediæ no-
              <lb/>
            ctis. </s>
            <s xml:id="echoid-s37870" xml:space="preserve">Horæ autem ad dextram ipſius lineæ meridianæ collocatæ, hoc eſt, verſus punctum L, ſunt
              <lb/>
            antemeridianæ, pomeridianæ vero ad ſiniſtram eiuſdem meridianæ lineæ, id eſt, verſus punctum
              <lb/>
              <note position="left" xlink:label="note-0592-06" xlink:href="note-0592-06a" xml:space="preserve">40</note>
            C, ſitæ ſunt: </s>
            <s xml:id="echoid-s37871" xml:space="preserve">ita vt proxima hora horæ 12. </s>
            <s xml:id="echoid-s37872" xml:space="preserve">meridiei verſus C, ſit hora 1. </s>
            <s xml:id="echoid-s37873" xml:space="preserve">poſt meridiem, ſequens
              <lb/>
            2. </s>
            <s xml:id="echoid-s37874" xml:space="preserve">& </s>
            <s xml:id="echoid-s37875" xml:space="preserve">ſic de cæteris, vt figura indicat.</s>
            <s xml:id="echoid-s37876" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s37877" xml:space="preserve">ERVNT autem, ſi erratum non eſt, interualla horarum in portione æquinoctialis lineæ I F,
              <lb/>
            æqualia interuallis horarum in altera portione I k, ſingula ſingulis: </s>
            <s xml:id="echoid-s37878" xml:space="preserve">Item arcus circuli ex H, de-
              <lb/>
            ſcripti inter meridianam lineam H N, & </s>
            <s xml:id="echoid-s37879" xml:space="preserve">horas ex parte ſiniſtra poſiti æquales arcubus eiuſdem
              <lb/>
            circuli inter lineam meridianam, & </s>
            <s xml:id="echoid-s37880" xml:space="preserve">horas ex parte dextra interceptis, ſinguli ſingulis. </s>
            <s xml:id="echoid-s37881" xml:space="preserve">Quocirca
              <lb/>
            danda opera erit, vt huiuſmodi interualla æqualia inter ſe ſint, ſi accurata horarum deſcriptio de-
              <lb/>
            ſideretur.</s>
            <s xml:id="echoid-s37882" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s37883" xml:space="preserve">QVOD ſi dimidiatas etiam horas, & </s>
            <s xml:id="echoid-s37884" xml:space="preserve">horarum quadrantes, immò & </s>
            <s xml:id="echoid-s37885" xml:space="preserve">octauas partes, &</s>
            <s xml:id="echoid-s37886" xml:space="preserve">c. </s>
            <s xml:id="echoid-s37887" xml:space="preserve">in
              <lb/>
              <note position="left" xlink:label="note-0592-07" xlink:href="note-0592-07a" xml:space="preserve">Dimidiatæ ho-
                <lb/>
              ræ, & quadran-
                <lb/>
              tes hotatum in
                <lb/>
              horologio qua
                <lb/>
              ratione deſcri-
                <lb/>
              ban@ur.</note>
            horologio deſcribere quis velit, diuidendæ erunt ſingulæ partes circuli ex E, deſcripti in duas par
              <lb/>
              <note position="left" xlink:label="note-0592-08" xlink:href="note-0592-08a" xml:space="preserve">50</note>
            tes æquales, quatuor, vel octo, &</s>
            <s xml:id="echoid-s37888" xml:space="preserve">c. </s>
            <s xml:id="echoid-s37889" xml:space="preserve">reliqua autẽ perſicienda, vt prius. </s>
            <s xml:id="echoid-s37890" xml:space="preserve">Quod in alijs quoque horolo
              <lb/>
            giis, quæ ſequuntur, obſeruandum erit.</s>
            <s xml:id="echoid-s37891" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s37892" xml:space="preserve">STYLVS, ſeu gnomon G D, erigendus eſt ſupra horologium ad angulos rectos ex puncto
              <lb/>
              <note position="left" xlink:label="note-0592-09" xlink:href="note-0592-09a" xml:space="preserve">Stylus quomo-
                <lb/>
              do collocandus
                <lb/>
              @t.</note>
            G, vt propoſ. </s>
            <s xml:id="echoid-s37893" xml:space="preserve">12. </s>
            <s xml:id="echoid-s37894" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s37895" xml:space="preserve">4. </s>
            <s xml:id="echoid-s37896" xml:space="preserve">oſtendimus. </s>
            <s xml:id="echoid-s37897" xml:space="preserve">Ita enim extremitas vmbræ in lineas horarias cadens horas
              <lb/>
            indicabit, tangetq́ue vertex ipſius ſtyli axem mundi ex H, per polum arcticum extenſum in pun-
              <lb/>
            cto D, ita vt H D, axem mundi reſerat. </s>
            <s xml:id="echoid-s37898" xml:space="preserve">Quòd ſi triangulum H D I, in linea meridiana H N, eri-
              <lb/>
            gatur ad rectos angulos ſupra planum horologii, indicabit quoque vmbra axis H D, eaſdem ho-
              <lb/>
            ras: </s>
            <s xml:id="echoid-s37899" xml:space="preserve">ſi tamen horologium in plano, quod Horizonti æquidiſtat, ita ſtatuatur, vt recta H N, lineam
              <lb/>
              <note position="left" xlink:label="note-0592-10" xlink:href="note-0592-10a" xml:space="preserve">Horologiũ ho-
                <lb/>
              rizontale quo
                <lb/>
              pacto collocan-
                <lb/>
              dum ſit, vt ho-
                <lb/>
              @a@ indicet.</note>
            meridianam reſerat, punctumq́ue H, ad auſtrum, & </s>
            <s xml:id="echoid-s37900" xml:space="preserve">I, ad boream vergat.</s>
            <s xml:id="echoid-s37901" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s37902" xml:space="preserve">QVO autem artiſicio altitudo poli inueſtiganda ſit, (Nam vt horologium rectè deſcribatur
              <lb/>
            in propoſita regione, neceſſe eſt, noſſe altitudinem poli ſupra Horizontem illius loci, atque </s>
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