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-div1951" type="section" level="1" n="500">
          <p>
            <s xml:id="echoid-s39252" xml:space="preserve">
              <pb o="594" file="0610" n="610" rhead="GNOMONICES"/>
            puncto B, ita vt tam C, quàm B, ſit hora 24. </s>
            <s xml:id="echoid-s39253" xml:space="preserve">ab occaſu, proximum verò punctum verſus G, ho-
              <lb/>
            ra 23. </s>
            <s xml:id="echoid-s39254" xml:space="preserve">& </s>
            <s xml:id="echoid-s39255" xml:space="preserve">ita deinceps. </s>
            <s xml:id="echoid-s39256" xml:space="preserve">Contrarium fiat pro horologio Babylonico, hoc eſt, in orientali diuiſio
              <lb/>
            inchoetur à puncto b, in occidentali verò à puncto C, ita vt tam punctum B, quàm punctum C,
              <lb/>
            det horam 24. </s>
            <s xml:id="echoid-s39257" xml:space="preserve">ab ortu, & </s>
            <s xml:id="echoid-s39258" xml:space="preserve">proximum punctum verſus G, horam 1. </s>
            <s xml:id="echoid-s39259" xml:space="preserve">&</s>
            <s xml:id="echoid-s39260" xml:space="preserve">c. </s>
            <s xml:id="echoid-s39261" xml:space="preserve">Nam ſi pro horologio Ita-
              <lb/>
            lico in vtroque horologio ex horis inter puncta B, G, poſitis per centrum circuli rectę occultæ
              <lb/>
            ducantur, ſecabitur æquinoctialis linea in punctis, per quæ, ſi ad eandem perpendiculares erigan-
              <lb/>
            tur, ſecabitur tropicus ♋, in punctis horarum ab occaſu Solis. </s>
            <s xml:id="echoid-s39262" xml:space="preserve">Si autem pro vtroque horo-
              <lb/>
            logio Babylonico ex horis inter puncta C, & </s>
            <s xml:id="echoid-s39263" xml:space="preserve">G, interiectis per centrum circuli egrediantur re-
              <lb/>
            ctæ occultæ, diuidetur linea æquinoctialis in punctis, per quæ ſi ad eandem educantur lineæ
              <lb/>
            perpendiculares ſecantes tropicum ♋, habebimus puncta horarum ab ortu Solis in dicto tro-
              <lb/>
              <note position="left" xlink:label="note-0610-01" xlink:href="note-0610-01a" xml:space="preserve">10</note>
            pico. </s>
            <s xml:id="echoid-s39264" xml:space="preserve">Non aliter in tropico ♑, earundem horarum puncta inueſtigabimus, ſi diuiſio circu-
              <lb/>
            li F G H I, principium ſumat in orientali horologio Italico à puncto E, & </s>
            <s xml:id="echoid-s39265" xml:space="preserve">in occidentali à pun-
              <lb/>
            cto D: </s>
            <s xml:id="echoid-s39266" xml:space="preserve">In horologio verò Babylonico orientali à puncto D, & </s>
            <s xml:id="echoid-s39267" xml:space="preserve">in occidentali à puncto E, verſus
              <lb/>
            punctum G, ſemper progrediendo. </s>
            <s xml:id="echoid-s39268" xml:space="preserve">Itaque ſi horæ inter ſe reſpondentes in tropicis iungantur
              <lb/>
            lineis rectis, deſcriptum erit horologium tam Italicum, quàm Babylonicum. </s>
            <s xml:id="echoid-s39269" xml:space="preserve">Tranſibunt autem
              <lb/>
            horæ ab or. </s>
            <s xml:id="echoid-s39270" xml:space="preserve">& </s>
            <s xml:id="echoid-s39271" xml:space="preserve">occ neceſſario per puncta horarum à mer. </s>
            <s xml:id="echoid-s39272" xml:space="preserve">& </s>
            <s xml:id="echoid-s39273" xml:space="preserve">med. </s>
            <s xml:id="echoid-s39274" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39275" xml:space="preserve">in linea æquinoctiali, vt in
              <lb/>
            ſuperioribus dictum eſt, & </s>
            <s xml:id="echoid-s39276" xml:space="preserve">manifeſtè ex tabella, quam in cap. </s>
            <s xml:id="echoid-s39277" xml:space="preserve">4. </s>
            <s xml:id="echoid-s39278" xml:space="preserve">reperies, colligitur. </s>
            <s xml:id="echoid-s39279" xml:space="preserve">Quòd ſi horæ
              <lb/>
            nonnullę ab or. </s>
            <s xml:id="echoid-s39280" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s39281" xml:space="preserve">in alterutro tropicorum non habeant puncta reſpõdentia, ducendæ erunt
              <lb/>
            illæ per horas reſpondentes in linea æquinoctiali. </s>
            <s xml:id="echoid-s39282" xml:space="preserve">Vt in horologio orientali hor. </s>
            <s xml:id="echoid-s39283" xml:space="preserve">16. </s>
            <s xml:id="echoid-s39284" xml:space="preserve">& </s>
            <s xml:id="echoid-s39285" xml:space="preserve">17. </s>
            <s xml:id="echoid-s39286" xml:space="preserve">ab
              <lb/>
            occ. </s>
            <s xml:id="echoid-s39287" xml:space="preserve">Item 4. </s>
            <s xml:id="echoid-s39288" xml:space="preserve">& </s>
            <s xml:id="echoid-s39289" xml:space="preserve">5. </s>
            <s xml:id="echoid-s39290" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s39291" xml:space="preserve">ductę ſunt per hor. </s>
            <s xml:id="echoid-s39292" xml:space="preserve">10. </s>
            <s xml:id="echoid-s39293" xml:space="preserve">& </s>
            <s xml:id="echoid-s39294" xml:space="preserve">11. </s>
            <s xml:id="echoid-s39295" xml:space="preserve">à med. </s>
            <s xml:id="echoid-s39296" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39297" xml:space="preserve">in linea ęquinoctiali: </s>
            <s xml:id="echoid-s39298" xml:space="preserve">In occi-
              <lb/>
              <note position="left" xlink:label="note-0610-02" xlink:href="note-0610-02a" xml:space="preserve">20</note>
            dentali vero hor. </s>
            <s xml:id="echoid-s39299" xml:space="preserve">19. </s>
            <s xml:id="echoid-s39300" xml:space="preserve">& </s>
            <s xml:id="echoid-s39301" xml:space="preserve">20. </s>
            <s xml:id="echoid-s39302" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s39303" xml:space="preserve">Item 7. </s>
            <s xml:id="echoid-s39304" xml:space="preserve">& </s>
            <s xml:id="echoid-s39305" xml:space="preserve">8. </s>
            <s xml:id="echoid-s39306" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s39307" xml:space="preserve">per hor. </s>
            <s xml:id="echoid-s39308" xml:space="preserve">1. </s>
            <s xml:id="echoid-s39309" xml:space="preserve">& </s>
            <s xml:id="echoid-s39310" xml:space="preserve">2. </s>
            <s xml:id="echoid-s39311" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s39312" xml:space="preserve">Lineæ autem horæ 6.
              <lb/>
            </s>
            <s xml:id="echoid-s39313" xml:space="preserve">& </s>
            <s xml:id="echoid-s39314" xml:space="preserve">18. </s>
            <s xml:id="echoid-s39315" xml:space="preserve">ducendæ ſunt æquidiſtantes lineæ æquinoctiali, vt lib. </s>
            <s xml:id="echoid-s39316" xml:space="preserve">2. </s>
            <s xml:id="echoid-s39317" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s39318" xml:space="preserve">34 oſtendimus, per puncta
              <lb/>
            in tropicis vtriuſque horologii inuenta.</s>
            <s xml:id="echoid-s39319" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s39320" xml:space="preserve">PER arcus diurnos, nocturnosq́ue horarum 14. </s>
            <s xml:id="echoid-s39321" xml:space="preserve">& </s>
            <s xml:id="echoid-s39322" xml:space="preserve">10. </s>
            <s xml:id="echoid-s39323" xml:space="preserve">deſcribemus quoque vtrumque horo-
              <lb/>
              <note position="left" xlink:label="note-0610-03" xlink:href="note-0610-03a" xml:space="preserve">Alia deſcriptio
                <lb/>
              horologii Meri
                <lb/>
              diani & Baby-
                <lb/>
              lonici per arcus
                <lb/>
              diurnos, ac no-
                <lb/>
              cturnos.</note>
            logium, vtin horizontali, Verticaliq́ue declarauimus. </s>
            <s xml:id="echoid-s39324" xml:space="preserve">Idem fiet beneſicio arcus diurni, & </s>
            <s xml:id="echoid-s39325" xml:space="preserve">noctur
              <lb/>
            ni horarum 24. </s>
            <s xml:id="echoid-s39326" xml:space="preserve">Verum obſeruandum eſt, vt ex arcubus diurnis, atque nocturnis in ſcholio pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s39327" xml:space="preserve">33. </s>
            <s xml:id="echoid-s39328" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s39329" xml:space="preserve">1. </s>
            <s xml:id="echoid-s39330" xml:space="preserve">poſitis ſumantur illæ duntaxat horæ ab or. </s>
            <s xml:id="echoid-s39331" xml:space="preserve">& </s>
            <s xml:id="echoid-s39332" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s39333" xml:space="preserve">pro horologio orientali, quibus in
              <lb/>
            eiſdem tabulis reſpondent horæ à med. </s>
            <s xml:id="echoid-s39334" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39335" xml:space="preserve">non autem à meridie, quia hæ non continentur in eo
              <lb/>
            horologio. </s>
            <s xml:id="echoid-s39336" xml:space="preserve">Pro horologio verò occidentali illę quibus reſpondent horæ à mer. </s>
            <s xml:id="echoid-s39337" xml:space="preserve">non autem à med.
              <lb/>
            </s>
            <s xml:id="echoid-s39338" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39339" xml:space="preserve">Vt horam 14. </s>
            <s xml:id="echoid-s39340" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s39341" xml:space="preserve">in orientali horologio ducemus per horam 2. </s>
            <s xml:id="echoid-s39342" xml:space="preserve">à med. </s>
            <s xml:id="echoid-s39343" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39344" xml:space="preserve">in arcu no-
              <lb/>
              <note position="left" xlink:label="note-0610-04" xlink:href="note-0610-04a" xml:space="preserve">30</note>
            cturno horarum 24. </s>
            <s xml:id="echoid-s39345" xml:space="preserve">non autem per horam 2. </s>
            <s xml:id="echoid-s39346" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s39347" xml:space="preserve">in arcu diurno horarum 24. </s>
            <s xml:id="echoid-s39348" xml:space="preserve">Item horam 14.
              <lb/>
            </s>
            <s xml:id="echoid-s39349" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s39350" xml:space="preserve">in occidentali horologio ducemus per horam 2. </s>
            <s xml:id="echoid-s39351" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s39352" xml:space="preserve">in arcu diurno horarum 24. </s>
            <s xml:id="echoid-s39353" xml:space="preserve">non au
              <lb/>
            tem per horam 2. </s>
            <s xml:id="echoid-s39354" xml:space="preserve">à med. </s>
            <s xml:id="echoid-s39355" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39356" xml:space="preserve">in arcu nocturno horarum 24. </s>
            <s xml:id="echoid-s39357" xml:space="preserve">&</s>
            <s xml:id="echoid-s39358" xml:space="preserve">c.</s>
            <s xml:id="echoid-s39359" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s39360" xml:space="preserve">QVOD ad ſectiones mutuas horarum à mer. </s>
            <s xml:id="echoid-s39361" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s39362" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s39363" xml:space="preserve">& </s>
            <s xml:id="echoid-s39364" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s39365" xml:space="preserve">vel occaſu in linea horę
              <lb/>
            12. </s>
            <s xml:id="echoid-s39366" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s39367" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s39368" xml:space="preserve">& </s>
            <s xml:id="echoid-s39369" xml:space="preserve">in linea horizontali attinet, conſideranda ſunt ea, quę propoſ. </s>
            <s xml:id="echoid-s39370" xml:space="preserve">34. </s>
            <s xml:id="echoid-s39371" xml:space="preserve">& </s>
            <s xml:id="echoid-s39372" xml:space="preserve">35. </s>
            <s xml:id="echoid-s39373" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s39374" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s39375" xml:space="preserve">ſcripſimus.</s>
            <s xml:id="echoid-s39376" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s39377" xml:space="preserve">MANIFESTVM porrò eſt ex ſigura huius cap. </s>
            <s xml:id="echoid-s39378" xml:space="preserve">lineas horarum ab occ. </s>
            <s xml:id="echoid-s39379" xml:space="preserve">in horologio
              <lb/>
              <note position="left" xlink:label="note-0610-05" xlink:href="note-0610-05a" xml:space="preserve">Qua ratione ex
                <lb/>
              horologio Itali
                <lb/>
              co ſiat Babylo-
                <lb/>
              nicum, & cõtra,
                <lb/>
              ta ſaci@ oppoli-
                <lb/>
              ta plani @orolo
                <lb/>
              gu Mcridiani
                <lb/>
              delineandum.</note>
            orientali eundem ſitum habere, quem lineæ horarum ab or. </s>
            <s xml:id="echoid-s39380" xml:space="preserve">ſeruant in horologio occidenta-
              <lb/>
            li. </s>
            <s xml:id="echoid-s39381" xml:space="preserve">Quod etiam verum eſt de horis ab or. </s>
            <s xml:id="echoid-s39382" xml:space="preserve">in orientali, & </s>
            <s xml:id="echoid-s39383" xml:space="preserve">de horis ab occ. </s>
            <s xml:id="echoid-s39384" xml:space="preserve">in occidentali. </s>
            <s xml:id="echoid-s39385" xml:space="preserve">Vnde ho-
              <lb/>
            rologium Italicum orientale in facie oppoſita plani horologii deſcriptum, ita vt lineæ lineis re-
              <lb/>
            ſpondeant, erit Babylonicum occidentale: </s>
            <s xml:id="echoid-s39386" xml:space="preserve">Et Italicum occidentale erit Babylonicum orientale, & </s>
            <s xml:id="echoid-s39387" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0610-06" xlink:href="note-0610-06a" xml:space="preserve">40</note>
            contra: </s>
            <s xml:id="echoid-s39388" xml:space="preserve">dummodo numeri ſinguli horarum mutentur in earundem complementa vſque ad 24.
              <lb/>
            </s>
            <s xml:id="echoid-s39389" xml:space="preserve">vt 9. </s>
            <s xml:id="echoid-s39390" xml:space="preserve">in 15. </s>
            <s xml:id="echoid-s39391" xml:space="preserve">& </s>
            <s xml:id="echoid-s39392" xml:space="preserve">3. </s>
            <s xml:id="echoid-s39393" xml:space="preserve">in 21. </s>
            <s xml:id="echoid-s39394" xml:space="preserve">&</s>
            <s xml:id="echoid-s39395" xml:space="preserve">c.</s>
            <s xml:id="echoid-s39396" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1955" type="section" level="1" n="501">
          <head xml:id="echoid-head530" style="it" xml:space="preserve">DE HOROLOGIO MERIDIANO
            <lb/>
          Antiquo. CAP. XV.</head>
          <p>
            <s xml:id="echoid-s39397" xml:space="preserve">TAM arcus diurnus ♋, B G C, quàm ♑, D G E, in circulo F G H I, vtriuſque horologii ſe-
              <lb/>
              <note position="left" xlink:label="note-0610-07" xlink:href="note-0610-07a" xml:space="preserve">Deſcriptio horo
                <lb/>
              logii Meridiani
                <lb/>
              Antiqui.</note>
            cetur in 12. </s>
            <s xml:id="echoid-s39398" xml:space="preserve">æquales partes. </s>
            <s xml:id="echoid-s39399" xml:space="preserve">Harum enim beneſicio inueniemus in vtroque tropico puncta,
              <lb/>
            per quæ ducendæ ſunt horæ inæquales, non ſecus, atque in præcedenti cap. </s>
            <s xml:id="echoid-s39400" xml:space="preserve">puncta horarum ab
              <lb/>
              <note position="left" xlink:label="note-0610-08" xlink:href="note-0610-08a" xml:space="preserve">50</note>
            or. </s>
            <s xml:id="echoid-s39401" xml:space="preserve">& </s>
            <s xml:id="echoid-s39402" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s39403" xml:space="preserve">in eiſdem tropicis indagauimus. </s>
            <s xml:id="echoid-s39404" xml:space="preserve">Tranſibunt autem horæ inæquales per horas à me-
              <lb/>
            ridie vel media nocte in æquinoctiali linea, vt in horologio horizontali, ac Verticali do-
              <lb/>
            cuimus.</s>
            <s xml:id="echoid-s39405" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Coſtructio eiuſ
            <lb/>
          dem horologii
            <lb/>
          Merid@ani Anti
            <lb/>
          qui ex arcubus
            <lb/>
          diurnis.</note>
          <p>
            <s xml:id="echoid-s39406" xml:space="preserve">QVOD ſi duo arcus diurni deſcribantur, vnus horarum 18. </s>
            <s xml:id="echoid-s39407" xml:space="preserve">& </s>
            <s xml:id="echoid-s39408" xml:space="preserve">horarum 6. </s>
            <s xml:id="echoid-s39409" xml:space="preserve">alter, conſtrue-
              <lb/>
            mus idem horologi
              <unsure/>
            um Antiquum, quemadmodum ſupra factum eſt in horizontali horologio,
              <lb/>
            & </s>
            <s xml:id="echoid-s39410" xml:space="preserve">Verticali, ex tabellis in ſcholio propoſ. </s>
            <s xml:id="echoid-s39411" xml:space="preserve">33. </s>
            <s xml:id="echoid-s39412" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s39413" xml:space="preserve">1. </s>
            <s xml:id="echoid-s39414" xml:space="preserve">deſcriptis.</s>
            <s xml:id="echoid-s39415" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s39416" xml:space="preserve">CONSTAT autem ex ſiguta, & </s>
            <s xml:id="echoid-s39417" xml:space="preserve">deſcriptione vtriuſque horologii, lineas horarum inęqua-
              <lb/>
              <note position="left" xlink:label="note-0610-10" xlink:href="note-0610-10a" xml:space="preserve">Quo pacto ex
                <lb/>
              horologio Anti
                <lb/>
              quo orientali
                <lb/>
              fiatoccidentale,
                <lb/>
              & contra.</note>
            lium eandem habere poſitionem, & </s>
            <s xml:id="echoid-s39418" xml:space="preserve">ſitum in vtroque horologio. </s>
            <s xml:id="echoid-s39419" xml:space="preserve">Quapropter vno deſcripto, ſi in
              <lb/>
            oppoſita facie eædem lineę depingantur prioribus lineis ad vnguem reſpondentes, habebitur etiã
              <lb/>
            alterum horologium: </s>
            <s xml:id="echoid-s39420" xml:space="preserve">Numeri tainen horarum in earum complementa vſque ad 12. </s>
            <s xml:id="echoid-s39421" xml:space="preserve">commutan
              <lb/>
            di ſunt, vt 1. </s>
            <s xml:id="echoid-s39422" xml:space="preserve">in 11. </s>
            <s xml:id="echoid-s39423" xml:space="preserve">& </s>
            <s xml:id="echoid-s39424" xml:space="preserve">2. </s>
            <s xml:id="echoid-s39425" xml:space="preserve">in 10. </s>
            <s xml:id="echoid-s39426" xml:space="preserve">&</s>
            <s xml:id="echoid-s39427" xml:space="preserve">c.</s>
            <s xml:id="echoid-s39428" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>