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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      <text xml:lang="it" type="free">
        <div xml:id="echoid-div1763" type="section" level="1" n="475">
          <p>
            <s xml:id="echoid-s34974" xml:space="preserve">
              <pb o="543" file="0559" n="559" rhead="LIBER SEXTVS."/>
            bus, diuidendiq́ue in 24. </s>
            <s xml:id="echoid-s34975" xml:space="preserve">partes æquales, facto initio à dictis communibus ſectionibus. </s>
            <s xml:id="echoid-s34976" xml:space="preserve">Exempli
              <lb/>
            gratia, circa a b, diametrum ♑, quæ nunc vices etiam gerat diametri ♋, ſeorſum expoſita deſcri-
              <lb/>
            bendus eſt circulus a e b e, ex centro m, vbi axis dictam diametrum ſecat, & </s>
            <s xml:id="echoid-s34977" xml:space="preserve">per punctum d, quod
              <lb/>
            puncto d, in Analemmate reſpondeat, in vtramq; </s>
            <s xml:id="echoid-s34978" xml:space="preserve">partem excitanda ad a b, perpendicularis e b e,
              <lb/>
              <figure xlink:label="fig-0559-01" xlink:href="fig-0559-01a" number="345">
                <image file="0559-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0559-01"/>
              </figure>
            quæ, vt demonſtrauimus, com-
              <lb/>
            munis ſectio eſt paralleli ♋, & </s>
            <s xml:id="echoid-s34979" xml:space="preserve">
              <lb/>
            Horizontis; </s>
            <s xml:id="echoid-s34980" xml:space="preserve">ita vt e a e, ſit por-
              <lb/>
            tio ♋, ſupra Horizontem, ſiue
              <lb/>
            arcus diurnus ♋; </s>
            <s xml:id="echoid-s34981" xml:space="preserve">& </s>
            <s xml:id="echoid-s34982" xml:space="preserve">e b e, por-
              <lb/>
            tio ♋, ſub Horizonte, ſiue arcus
              <lb/>
              <note position="left" xlink:label="note-0559-01" xlink:href="note-0559-01a" xml:space="preserve">10</note>
            nocturnus ♋. </s>
            <s xml:id="echoid-s34983" xml:space="preserve">Item e b e, por-
              <lb/>
            tio ♑, ſupra Horizontem, ſiue
              <lb/>
            arcus diurnus ♑; </s>
            <s xml:id="echoid-s34984" xml:space="preserve">& </s>
            <s xml:id="echoid-s34985" xml:space="preserve">e a e, por-
              <lb/>
            tio ♑, infra Horizontem, ſiue
              <lb/>
            arcus nocturnus ♑. </s>
            <s xml:id="echoid-s34986" xml:space="preserve">Deinde di-
              <lb/>
            ctus circulus in 24. </s>
            <s xml:id="echoid-s34987" xml:space="preserve">partes æqua
              <lb/>
            les diuidendus, initio facto à
              <lb/>
            punctoe, vtrolibet, vt ab eo,
              <lb/>
            quod ad dextram ponitur in
              <lb/>
            noſtro exemplo. </s>
            <s xml:id="echoid-s34988" xml:space="preserve">Ita enim diui-
              <lb/>
              <note position="left" xlink:label="note-0559-02" xlink:href="note-0559-02a" xml:space="preserve">20</note>
            ſus erit parallelus ♋, vel ♑, in
              <lb/>
            24. </s>
            <s xml:id="echoid-s34989" xml:space="preserve">horas æquales ab ortu, vel
              <lb/>
            occaſu Solis. </s>
            <s xml:id="echoid-s34990" xml:space="preserve">In tropico namq;
              <lb/>
            </s>
            <s xml:id="echoid-s34991" xml:space="preserve">♋, dabũt numeri interiores ho-
              <lb/>
            ras ab ortuSolis, exteriores vero
              <lb/>
            numeri horas ab occaſu Solis
              <lb/>
            indicabunt. </s>
            <s xml:id="echoid-s34992" xml:space="preserve">In tropico autẽ ♑, contrariũ intelligatur. </s>
            <s xml:id="echoid-s34993" xml:space="preserve">Numeri enim exteriores ad horas ab ortu,
              <lb/>
            & </s>
            <s xml:id="echoid-s34994" xml:space="preserve">interiores ad horas ab occaſu pertinent. </s>
            <s xml:id="echoid-s34995" xml:space="preserve">Ex quibus perſpicuũ eſt, qua ratione ex Analemmate, ſi
              <lb/>
              <note position="right" xlink:label="note-0559-03" xlink:href="note-0559-03a" xml:space="preserve">Quantitas diei
                <lb/>
              & noctis ex Ana
                <lb/>
              lemmate, quo
                <lb/>
              pacto cognoſca-
                <lb/>
              tur.</note>
            circa diametros parallelorũ ipſi paralleli deſcribãtur, & </s>
            <s xml:id="echoid-s34996" xml:space="preserve">in horas diuidãtur, cognoſci poſſit quanti
              <lb/>
            tas diei, & </s>
            <s xml:id="echoid-s34997" xml:space="preserve">noctis cuiuſque paralleli. </s>
            <s xml:id="echoid-s34998" xml:space="preserve">Nam horæ in arcu e a e, deprehenſæ conficiunt arcũ diurnũ
              <lb/>
              <note position="left" xlink:label="note-0559-04" xlink:href="note-0559-04a" xml:space="preserve">30</note>
            ♋, vel nocturnũ ♑. </s>
            <s xml:id="echoid-s34999" xml:space="preserve">Horæ vero in arcu e b e, contentæ cõflantarcum nocturnũ ♋, vel diurnũ ♑,
              <lb/>
            Id quod in lib. </s>
            <s xml:id="echoid-s35000" xml:space="preserve">1. </s>
            <s xml:id="echoid-s35001" xml:space="preserve">etiã docuimus. </s>
            <s xml:id="echoid-s35002" xml:space="preserve">Quòd ſi beneficio circini diuiſiones paralleli ♋, & </s>
            <s xml:id="echoid-s35003" xml:space="preserve">♑, a e b e, trãſ-
              <lb/>
            ferantur in ſemicirculum ♋, & </s>
            <s xml:id="echoid-s35004" xml:space="preserve">♑, in Analemmate, vt in figura apparet, idemq́ue fiat in omnibus
              <lb/>
            alijs parallelis (diuidendo videlicet ipſos circa proprias diametros deſcriptos in horas, facto ini-
              <lb/>
            tio à communibus ſectionibus eorum, & </s>
            <s xml:id="echoid-s35005" xml:space="preserve">Horizontis, &</s>
            <s xml:id="echoid-s35006" xml:space="preserve">c. </s>
            <s xml:id="echoid-s35007" xml:space="preserve">vt in parallelo ♋, & </s>
            <s xml:id="echoid-s35008" xml:space="preserve">♑, hic factũ eſt)
              <lb/>
            diuiſum erit Analemma in horas ab ortu, & </s>
            <s xml:id="echoid-s35009" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s35010" xml:space="preserve">Solis. </s>
            <s xml:id="echoid-s35011" xml:space="preserve">Aſcripti tamen ſunt in Analemmate nu-
              <lb/>
            meri duntaxat horarum ab occaſu Solis. </s>
            <s xml:id="echoid-s35012" xml:space="preserve">Nam horum numerorum complementa vſquead 24. </s>
            <s xml:id="echoid-s35013" xml:space="preserve">da
              <lb/>
            bunt horas ab ortu. </s>
            <s xml:id="echoid-s35014" xml:space="preserve">Vt hora 23. </s>
            <s xml:id="echoid-s35015" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35016" xml:space="preserve">dabit horam 1. </s>
            <s xml:id="echoid-s35017" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s35018" xml:space="preserve">& </s>
            <s xml:id="echoid-s35019" xml:space="preserve">22. </s>
            <s xml:id="echoid-s35020" xml:space="preserve">dabit 2. </s>
            <s xml:id="echoid-s35021" xml:space="preserve">& </s>
            <s xml:id="echoid-s35022" xml:space="preserve">ſic de cæteris.
              <lb/>
            </s>
            <s xml:id="echoid-s35023" xml:space="preserve">Meridianus autem circulus circa diametrum Æquatoris F G, deſcriptus, inſtar Æquatoris, diui-
              <lb/>
            dendus eſt in 24. </s>
            <s xml:id="echoid-s35024" xml:space="preserve">partes æquales, initio facto à diametro F G, vel axe H I. </s>
            <s xml:id="echoid-s35025" xml:space="preserve">Nam punctum F, erit
              <lb/>
              <note position="left" xlink:label="note-0559-05" xlink:href="note-0559-05a" xml:space="preserve">40</note>
            hora 12. </s>
            <s xml:id="echoid-s35026" xml:space="preserve">aſtronomica, primum deinde punctum diuiſionis verſus H, hor. </s>
            <s xml:id="echoid-s35027" xml:space="preserve">1. </s>
            <s xml:id="echoid-s35028" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s35029" xml:space="preserve">& </s>
            <s xml:id="echoid-s35030" xml:space="preserve">11. </s>
            <s xml:id="echoid-s35031" xml:space="preserve">à med.
              <lb/>
            </s>
            <s xml:id="echoid-s35032" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s35033" xml:space="preserve">ſequens autem punctum dabit horam 2. </s>
            <s xml:id="echoid-s35034" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s35035" xml:space="preserve">& </s>
            <s xml:id="echoid-s35036" xml:space="preserve">10. </s>
            <s xml:id="echoid-s35037" xml:space="preserve">à med. </s>
            <s xml:id="echoid-s35038" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s35039" xml:space="preserve">& </s>
            <s xml:id="echoid-s35040" xml:space="preserve">ita deinceps. </s>
            <s xml:id="echoid-s35041" xml:space="preserve">Sic etiã
              <lb/>
            punctum H, erit hora 24. </s>
            <s xml:id="echoid-s35042" xml:space="preserve">& </s>
            <s xml:id="echoid-s35043" xml:space="preserve">12. </s>
            <s xml:id="echoid-s35044" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35045" xml:space="preserve">primum deinde punctum diuiſionis verſus F, dabit ho-
              <lb/>
            ram 23. </s>
            <s xml:id="echoid-s35046" xml:space="preserve">& </s>
            <s xml:id="echoid-s35047" xml:space="preserve">13. </s>
            <s xml:id="echoid-s35048" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35049" xml:space="preserve">ſequens autem punctum ad horam 22. </s>
            <s xml:id="echoid-s35050" xml:space="preserve">& </s>
            <s xml:id="echoid-s35051" xml:space="preserve">14. </s>
            <s xml:id="echoid-s35052" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35053" xml:space="preserve">pertinebit, &</s>
            <s xml:id="echoid-s35054" xml:space="preserve">c. </s>
            <s xml:id="echoid-s35055" xml:space="preserve">Idem
              <lb/>
            denique punctũ H, ſpectabit ad horam 24. </s>
            <s xml:id="echoid-s35056" xml:space="preserve">& </s>
            <s xml:id="echoid-s35057" xml:space="preserve">12. </s>
            <s xml:id="echoid-s35058" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s35059" xml:space="preserve">primum deinde punctum diuiſionis ver-
              <lb/>
            ſus F, ad horam 1. </s>
            <s xml:id="echoid-s35060" xml:space="preserve">& </s>
            <s xml:id="echoid-s35061" xml:space="preserve">11. </s>
            <s xml:id="echoid-s35062" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s35063" xml:space="preserve">ſequens autem ad horam 2. </s>
            <s xml:id="echoid-s35064" xml:space="preserve">& </s>
            <s xml:id="echoid-s35065" xml:space="preserve">10. </s>
            <s xml:id="echoid-s35066" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s35067" xml:space="preserve">& </s>
            <s xml:id="echoid-s35068" xml:space="preserve">ſic de cæteris. </s>
            <s xml:id="echoid-s35069" xml:space="preserve">Ita vt
              <lb/>
            tam hora 18. </s>
            <s xml:id="echoid-s35070" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35071" xml:space="preserve">quam 6. </s>
            <s xml:id="echoid-s35072" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s35073" xml:space="preserve">cadat in F, punctum meridiei, hora vero 6. </s>
            <s xml:id="echoid-s35074" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s35075" xml:space="preserve">& </s>
            <s xml:id="echoid-s35076" xml:space="preserve">18. </s>
            <s xml:id="echoid-s35077" xml:space="preserve">
              <lb/>
            ab or. </s>
            <s xml:id="echoid-s35078" xml:space="preserve">in G, punctum mediæ noctis.</s>
            <s xml:id="echoid-s35079" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35080" xml:space="preserve">PRO horis denique inæqualibus, ſiue antiquis, diuidendæ ſunt ſingulæ portiones parallelo-
              <lb/>
              <note position="right" xlink:label="note-0559-06" xlink:href="note-0559-06a" xml:space="preserve">Diuiſio Ana-
                <lb/>
              lemmatis in @o
                <lb/>
              ra
                <unsure/>
              . inæquale.</note>
            rum inter communes eorum, atque Horizontis ſectiones, & </s>
            <s xml:id="echoid-s35081" xml:space="preserve">Meridianum circulum poſitæ in
              <lb/>
              <note position="left" xlink:label="note-0559-07" xlink:href="note-0559-07a" xml:space="preserve">50</note>
            ſenas partes æquales. </s>
            <s xml:id="echoid-s35082" xml:space="preserve">Punctum enim illud, vbi parallelus quicunque Meridianum ſecat, erit hora
              <lb/>
            6. </s>
            <s xml:id="echoid-s35083" xml:space="preserve">inæqualis, primum deinde diuiſionis punctum verſus communem ſectionem paralleli & </s>
            <s xml:id="echoid-s35084" xml:space="preserve">Hori
              <lb/>
            zontis dabit horam 5. </s>
            <s xml:id="echoid-s35085" xml:space="preserve">& </s>
            <s xml:id="echoid-s35086" xml:space="preserve">7. </s>
            <s xml:id="echoid-s35087" xml:space="preserve">ſequens autem punctum horam 4. </s>
            <s xml:id="echoid-s35088" xml:space="preserve">& </s>
            <s xml:id="echoid-s35089" xml:space="preserve">8. </s>
            <s xml:id="echoid-s35090" xml:space="preserve">&</s>
            <s xml:id="echoid-s35091" xml:space="preserve">c. </s>
            <s xml:id="echoid-s35092" xml:space="preserve">Hac ratione diuiſus eſt
              <lb/>
            in Analem mate ſemicirculus ♉, & </s>
            <s xml:id="echoid-s35093" xml:space="preserve">♍, qui ſemicirculum etiam ♏, & </s>
            <s xml:id="echoid-s35094" xml:space="preserve">♓, refert: </s>
            <s xml:id="echoid-s35095" xml:space="preserve">Numeri autem
              <lb/>
            horarum inæqualium aſcripti ſunt punctis diametri k L, dicti paralleli, in quæ cadunt perpendi-
              <lb/>
            culares ex punctis diuiſionũ paralleli ad diametrum demiſſę. </s>
            <s xml:id="echoid-s35096" xml:space="preserve">Si enim punctis ſemicirculi K Q L,
              <lb/>
            appoſiti eſſent, confunderentur cum numeris horarum à mer. </s>
            <s xml:id="echoid-s35097" xml:space="preserve">& </s>
            <s xml:id="echoid-s35098" xml:space="preserve">med. </s>
            <s xml:id="echoid-s35099" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s35100" xml:space="preserve">ſemicirculi M R N.
              <lb/>
            </s>
            <s xml:id="echoid-s35101" xml:space="preserve">Eadem ratione alii paralleli diuidendi eruntin horas inæquales, quando res ita exiget. </s>
            <s xml:id="echoid-s35102" xml:space="preserve">Diuiſimus
              <lb/>
            porro tres ſemicirculos trium parallelorum, nempe M R N, in horas aſtronomicas, ſiue à mer. </s>
            <s xml:id="echoid-s35103" xml:space="preserve">& </s>
            <s xml:id="echoid-s35104" xml:space="preserve">
              <lb/>
            med. </s>
            <s xml:id="echoid-s35105" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s35106" xml:space="preserve">Deinde a e b, in horas Babylonicas, Italicasq́ue, hoc eſt, ab or. </s>
            <s xml:id="echoid-s35107" xml:space="preserve">& </s>
            <s xml:id="echoid-s35108" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s35109" xml:space="preserve">Poſtremo K Q L,
              <lb/>
            in horas inæquales, vt in vno Analemmate diuiſiones omnium horarum continerentur. </s>
            <s xml:id="echoid-s35110" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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