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-div2078" type="section" level="1" n="529">
          <p>
            <s xml:id="echoid-s41810" xml:space="preserve">
              <pb o="639" file="0655" n="655" rhead="LIBER OCTAVVS."/>
            facile dimoueatur: </s>
            <s xml:id="echoid-s41811" xml:space="preserve">atque in hoc extremo appendendum eſt filum tenuiſſimum, vna cum perpen
              <lb/>
            diculo, & </s>
            <s xml:id="echoid-s41812" xml:space="preserve">ipſi filo nodulus mobilis N, circumponendus loco indicis.</s>
            <s xml:id="echoid-s41813" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41814" xml:space="preserve">POSTREMO reſectis omnibus ſuperuacaneis, ita vt horologium ad formam quadrangu-
              <lb/>
            larem redigatur, cuius extrema latera ſint E F, & </s>
            <s xml:id="echoid-s41815" xml:space="preserve">proxime ducta parallela in lineis horariis; </s>
            <s xml:id="echoid-s41816" xml:space="preserve">Item
              <lb/>
            E O, F L, vſque ad eandem parallelam producta: </s>
            <s xml:id="echoid-s41817" xml:space="preserve">Relicto quoque tanto ſpatio ad partes L, vt ſi-
              <lb/>
            gnorum characteres deſcribi poſſint, conficienda erunt duo pinnacidia ſubtiliter perforata, atq;
              <lb/>
            </s>
            <s xml:id="echoid-s41818" xml:space="preserve">lateri E F, ad angulos rectos adaptanda. </s>
            <s xml:id="echoid-s41819" xml:space="preserve">Ita enim completa erit horologij deſcriptio.</s>
            <s xml:id="echoid-s41820" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41821" xml:space="preserve">VSVS huius horologij hic eſt. </s>
            <s xml:id="echoid-s41822" xml:space="preserve">Firmato extremo puncto T, brachioli in communi ſectione
              <lb/>
              <note position="right" xlink:label="note-0655-01" xlink:href="note-0655-01a" xml:space="preserve">Vſus huius ho-
                <lb/>
              rologii vni@er-
                <lb/>
              ſalis.</note>
            radij illius gradus Eclipticæ, in quo Sol exiſtit, & </s>
            <s xml:id="echoid-s41823" xml:space="preserve">lineæ latitudinis loci propoſitæ, extendatur fi-
              <lb/>
            lum perpendiculi verſus Zodiacum ad rectam F L, deſcriptum, ponaturq́ue nodulus mobilis N,
              <lb/>
              <note position="left" xlink:label="note-0655-02" xlink:href="note-0655-02a" xml:space="preserve">10</note>
            in recta F L, in eodem gradu Zodiaci. </s>
            <s xml:id="echoid-s41824" xml:space="preserve">Nam ſi tunc, filo perpendiculi planum horologii radente,
              <lb/>
            eleuetur pinnacidium prope E, donec radius Solis per eius foramen tranſiens cadat in foramen
              <lb/>
            alterius pinnacidij prope F, indicabit nodulus mobilis N, inter lineas horarias horam præſentem.
              <lb/>
            </s>
            <s xml:id="echoid-s41825" xml:space="preserve">Loco pinnacidiorum vti poteris clauiculo ad angulos rectos in recta E F, prope E, affixo. </s>
            <s xml:id="echoid-s41826" xml:space="preserve">Si enim
              <lb/>
            inſtrumentum eleuetur, donec vmbra clauiculi in rectam E F, cadat, indicabit idem nodu-
              <lb/>
            lus horam.</s>
            <s xml:id="echoid-s41827" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41828" xml:space="preserve">QVOD ſi ex puncto, vbi ſe mutuo interſecant radius Zodiaci illius gradus, in quo Sol exi-
              <lb/>
              <note position="right" xlink:label="note-0655-03" xlink:href="note-0655-03a" xml:space="preserve">Inuentio arcus
                <lb/>
              ſemidiurni, &
                <lb/>
              ſeminocturni:
                <lb/>
              Item hora or-
                <lb/>
              tus & occaſus
                <lb/>
              Solis. ex hoc ho
                <lb/>
              rologio.</note>
            ſtit, & </s>
            <s xml:id="echoid-s41829" xml:space="preserve">lineæ latitudinis loci propoſitæ, ducatur rectæ G A, linea occulta parallela, dabunt horæ
              <lb/>
            inter hanc parallelã, & </s>
            <s xml:id="echoid-s41830" xml:space="preserve">rectã F L, arcum ſemidiurnũ, horæ vero inter eandẽ parallelam, & </s>
            <s xml:id="echoid-s41831" xml:space="preserve">rectam
              <lb/>
            E O, arcũ ſeminocturnum. </s>
            <s xml:id="echoid-s41832" xml:space="preserve">Vnde in illa parallela orietur Sol, & </s>
            <s xml:id="echoid-s41833" xml:space="preserve">occidet. </s>
            <s xml:id="echoid-s41834" xml:space="preserve">Ex quo fit, vt facile horæ à
              <lb/>
              <note position="left" xlink:label="note-0655-04" xlink:href="note-0655-04a" xml:space="preserve">20</note>
            mer. </s>
            <s xml:id="echoid-s41835" xml:space="preserve">& </s>
            <s xml:id="echoid-s41836" xml:space="preserve">med. </s>
            <s xml:id="echoid-s41837" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s41838" xml:space="preserve">ad horas ab or. </s>
            <s xml:id="echoid-s41839" xml:space="preserve">& </s>
            <s xml:id="echoid-s41840" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s41841" xml:space="preserve">reducantur. </s>
            <s xml:id="echoid-s41842" xml:space="preserve">Si enim ab illa parallela numerẽtur verſus re-
              <lb/>
            ctã F L, horæ integræ vſque ad horã, quam nodulus mobilis indicat, redeundo tamen à recta F L,
              <lb/>
              <note position="right" xlink:label="note-0655-05" xlink:href="note-0655-05a" xml:space="preserve">Reductio hora-
                <lb/>
              rum à mer. &
                <lb/>
              med noc. ad ho
                <lb/>
              ras ab or. & occ.
                <lb/>
              ex eodem hoc
                <lb/>
              horologio.</note>
            verſus dictam parallelam, vſque ad nodulum, ſi tempus eſt pomeridianũ, habebitur hora ab ortu
              <lb/>
            Solis: </s>
            <s xml:id="echoid-s41843" xml:space="preserve">Si vero ab eadem parallela horæ integræ ſupputentur verſus rectam E O, vſque ad nodu-
              <lb/>
            lum, redeundo tamen à recta E O, verſus dictam parallelam vſque ad nodulum N, ſi tem pus an-
              <lb/>
            temeridianum eſt, vel ſi pomeridianum, redeundo etiam à recta F L, verſus eandem parallelam,
              <lb/>
            habebitur hora ab occaſu Solis. </s>
            <s xml:id="echoid-s41844" xml:space="preserve">Exempli gratia. </s>
            <s xml:id="echoid-s41845" xml:space="preserve">Ponatur nodulum N, cadere in horam 10. </s>
            <s xml:id="echoid-s41846" xml:space="preserve">ante-
              <lb/>
            meridianam in latitudine grad. </s>
            <s xml:id="echoid-s41847" xml:space="preserve">45. </s>
            <s xml:id="echoid-s41848" xml:space="preserve">Sole exiſtente in grad. </s>
            <s xml:id="echoid-s41849" xml:space="preserve">20. </s>
            <s xml:id="echoid-s41850" xml:space="preserve">♈, vel grad. </s>
            <s xml:id="echoid-s41851" xml:space="preserve">10. </s>
            <s xml:id="echoid-s41852" xml:space="preserve">♍. </s>
            <s xml:id="echoid-s41853" xml:space="preserve">Quoniam igi-
              <lb/>
            tur ex puncto, vbi linea latitudinis grad. </s>
            <s xml:id="echoid-s41854" xml:space="preserve">45. </s>
            <s xml:id="echoid-s41855" xml:space="preserve">radium grad. </s>
            <s xml:id="echoid-s41856" xml:space="preserve">20. </s>
            <s xml:id="echoid-s41857" xml:space="preserve">♈, vel grad. </s>
            <s xml:id="echoid-s41858" xml:space="preserve">10. </s>
            <s xml:id="echoid-s41859" xml:space="preserve">♍, ſecat, ducta ipſi
              <lb/>
            G A, parallela cadit fere in medium ſpatium inter horam 5. </s>
            <s xml:id="echoid-s41860" xml:space="preserve">& </s>
            <s xml:id="echoid-s41861" xml:space="preserve">6. </s>
            <s xml:id="echoid-s41862" xml:space="preserve">antemeridianam, & </s>
            <s xml:id="echoid-s41863" xml:space="preserve">inter ho-
              <lb/>
              <note position="left" xlink:label="note-0655-06" xlink:href="note-0655-06a" xml:space="preserve">30</note>
            ram 6. </s>
            <s xml:id="echoid-s41864" xml:space="preserve">& </s>
            <s xml:id="echoid-s41865" xml:space="preserve">7. </s>
            <s xml:id="echoid-s41866" xml:space="preserve">pomeridianam, continebit arcus ſemidiurnus horas 6 {1/2}. </s>
            <s xml:id="echoid-s41867" xml:space="preserve">fere. </s>
            <s xml:id="echoid-s41868" xml:space="preserve">ſeminocturnus autem
              <lb/>
            horas 5 {1/2}. </s>
            <s xml:id="echoid-s41869" xml:space="preserve">ferè; </s>
            <s xml:id="echoid-s41870" xml:space="preserve">orieturq́ue Sol hora 5 {1/2}. </s>
            <s xml:id="echoid-s41871" xml:space="preserve">à med. </s>
            <s xml:id="echoid-s41872" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s41873" xml:space="preserve">& </s>
            <s xml:id="echoid-s41874" xml:space="preserve">occidet hora 6 {1/2}. </s>
            <s xml:id="echoid-s41875" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s41876" xml:space="preserve">Quia vero ab ho
              <lb/>
            ra 5 {1/2}. </s>
            <s xml:id="echoid-s41877" xml:space="preserve">antemeridiana vſque ad horam 10. </s>
            <s xml:id="echoid-s41878" xml:space="preserve">antemeridianam, verſus rectam F L, progrediendo,
              <lb/>
            numerantur horæ 4 {1/2}. </s>
            <s xml:id="echoid-s41879" xml:space="preserve">inſtabit tunc hora 4 {1/2}. </s>
            <s xml:id="echoid-s41880" xml:space="preserve">ab ortu Solis. </s>
            <s xml:id="echoid-s41881" xml:space="preserve">Si autem tunc tempus fuerit pome
              <lb/>
            ridianum, atque adeo nodulus N, in horam 2. </s>
            <s xml:id="echoid-s41882" xml:space="preserve">à mer@ cadat, numerabuntur ab hora 5 {1/2}. </s>
            <s xml:id="echoid-s41883" xml:space="preserve">antemeri-
              <lb/>
            diana verſus rectam F L, progrediendo, redeundoq́ue ad horam 2. </s>
            <s xml:id="echoid-s41884" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s41885" xml:space="preserve">horæ 8 {1/2}. </s>
            <s xml:id="echoid-s41886" xml:space="preserve">Inſtabit er-
              <lb/>
            go tunc hora 8 {1/2}. </s>
            <s xml:id="echoid-s41887" xml:space="preserve">ab ortu Solis. </s>
            <s xml:id="echoid-s41888" xml:space="preserve">Rurſus quia ab hora eadem 5 {1/2}. </s>
            <s xml:id="echoid-s41889" xml:space="preserve">antemeridiana vſque ad horam
              <lb/>
            10. </s>
            <s xml:id="echoid-s41890" xml:space="preserve">antemeridianam, verſus rectam E O, progrediendo, ab eaq́; </s>
            <s xml:id="echoid-s41891" xml:space="preserve">redeundo, reperiuntur horæ 15 {1/2}.
              <lb/>
            </s>
            <s xml:id="echoid-s41892" xml:space="preserve">erit tunc hora 15 {1/2}. </s>
            <s xml:id="echoid-s41893" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s41894" xml:space="preserve">Item quoniã ab eadem hora 5 {1/2}. </s>
            <s xml:id="echoid-s41895" xml:space="preserve">antemeridiana vſque ad horam 2. </s>
            <s xml:id="echoid-s41896" xml:space="preserve">
              <lb/>
            pomeridianam, progrediendo verſus rectam E O, ab eaq́ue regrediendo verſus rectam F L, & </s>
            <s xml:id="echoid-s41897" xml:space="preserve">ab
              <lb/>
              <note position="left" xlink:label="note-0655-07" xlink:href="note-0655-07a" xml:space="preserve">40</note>
            hac rurſus regrediendo verſus horam 2. </s>
            <s xml:id="echoid-s41898" xml:space="preserve">pomeridianam, numerantur horæ 19 {1/2}. </s>
            <s xml:id="echoid-s41899" xml:space="preserve">inſtabit tunc ho-
              <lb/>
            ra 19 {1/2}. </s>
            <s xml:id="echoid-s41900" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s41901" xml:space="preserve">Vel certe, quia ab hora 2. </s>
            <s xml:id="echoid-s41902" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s41903" xml:space="preserve">vſque ad horam 6 {1/2}. </s>
            <s xml:id="echoid-s41904" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s41905" xml:space="preserve">qua Sol occidit, nu-
              <lb/>
            merantur horę 4 {1/2}. </s>
            <s xml:id="echoid-s41906" xml:space="preserve">ſi hæ detrahantur ex 24. </s>
            <s xml:id="echoid-s41907" xml:space="preserve">hoc eſt, ex hora, qua Sol occidit, remanebunt horæ
              <lb/>
            19 {1/2}. </s>
            <s xml:id="echoid-s41908" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s41909" xml:space="preserve">vt prius. </s>
            <s xml:id="echoid-s41910" xml:space="preserve">Eadem ratio eſt de cæteris habenda.</s>
            <s xml:id="echoid-s41911" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41912" xml:space="preserve">AD hæc, ſi quadrans L V, ex A, deſcriptus ſecetur in 90. </s>
            <s xml:id="echoid-s41913" xml:space="preserve">gradus, & </s>
            <s xml:id="echoid-s41914" xml:space="preserve">extremum punctum T,
              <lb/>
              <note position="right" xlink:label="note-0655-08" xlink:href="note-0655-08a" xml:space="preserve">Altitudo Soli@
                <lb/>
              quo pacto de-
                <lb/>
              prehendatur ex
                <lb/>
              hoc horologio.</note>
            brachioli in centro A, collocetur, eleueturq́ue inſtrumentum, donec radius Solis foramini-
              <lb/>
            bus pinnacidiorum reſpondeat, indicabit filum perpendiculi in quadrante L V, altitudinem So-
              <lb/>
            lis ſupra Horizontem. </s>
            <s xml:id="echoid-s41915" xml:space="preserve">Progredietur autem numerus graduum in quadrante L V, à puncto V,
              <lb/>
            verſus L.</s>
            <s xml:id="echoid-s41916" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41917" xml:space="preserve">IAM vero ſi tota longitudo horologij bifariam ſecetur in P, diuidaturq́; </s>
            <s xml:id="echoid-s41918" xml:space="preserve">horologium ipſum
              <lb/>
              <note position="left" xlink:label="note-0655-09" xlink:href="note-0655-09a" xml:space="preserve">50</note>
            per rectam, quæ per P, ipſi L O, parallela ducitur; </s>
            <s xml:id="echoid-s41919" xml:space="preserve">atque hæ partes horologii iuncturis, & </s>
            <s xml:id="echoid-s41920" xml:space="preserve">clauicu-
              <lb/>
            lis ita inter ſe colligentur, vt vna alteri ſuperimponi poſſit, veluti de quadratis horologii æquino-
              <lb/>
            ctialis diximus cap. </s>
            <s xml:id="echoid-s41921" xml:space="preserve">1. </s>
            <s xml:id="echoid-s41922" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s41923" xml:space="preserve">redactum erit horologium ad commodiſſimam formam, ita vt
              <lb/>
            facile de loco ad locum poſſit circunferri. </s>
            <s xml:id="echoid-s41924" xml:space="preserve">In vſu autem aperiendum erit, vt ex duabus illis parti-
              <lb/>
            bus vna plana ſuperficies efficiatur. </s>
            <s xml:id="echoid-s41925" xml:space="preserve">Immo ſi in exteriore facie tabellæ, in qua eſt recta L O, ex pun
              <lb/>
            cto reſpondente cẽtro A, circulus reſpondens circulo L M O V, deſcribatur, & </s>
            <s xml:id="echoid-s41926" xml:space="preserve">in 24. </s>
            <s xml:id="echoid-s41927" xml:space="preserve">partes æqua-
              <lb/>
            les diuidatur, figaturq́ue in centro ſtylus ad angulos rectos; </s>
            <s xml:id="echoid-s41928" xml:space="preserve">atque hæc tabella eleuetur ſecundũ
              <lb/>
            @leuationem Aequatoris, beneficio quadrantis, vel ſcalæ latitudinum regionum, vt de horologio
              <lb/>
            æquinoctiali diximus cap. </s>
            <s xml:id="echoid-s41929" xml:space="preserve">1. </s>
            <s xml:id="echoid-s41930" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s41931" xml:space="preserve">ipſum denique horologium dirigatur ad lineam meridia-
              <lb/>
            nam, beneficio acus illitæ Magnete poſitæ in altera tabella, in qua recta P G, exiſtit, confectum
              <lb/>
            erit etiam horologium æquinoctiale vniuerſale, cuius ſemicirculus interior L M O, horas </s>
          </p>
        </div>
      </text>
    </echo>
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