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-div1909" type="section" level="1" n="489">
          <p>
            <s xml:id="echoid-s38243" xml:space="preserve">
              <pb o="582" file="0598" n="598" rhead="GNOMONICES"/>
            ſpondent: </s>
            <s xml:id="echoid-s38244" xml:space="preserve">at verò ſi eædem illæ rectæ vltra centrum producantur, ſecabitur idem arcus ♋, in pun
              <lb/>
            ctis, quæ illis horis reſpondent, quæ in arcubus b u, & </s>
            <s xml:id="echoid-s38245" xml:space="preserve">a t, comprehenduntur. </s>
            <s xml:id="echoid-s38246" xml:space="preserve">Vt ex m, puncto ho-
              <lb/>
            ræ 11. </s>
            <s xml:id="echoid-s38247" xml:space="preserve">quæ per diametrum opponitur horæ 23. </s>
            <s xml:id="echoid-s38248" xml:space="preserve">ducta recta per centrum E, ſecat ęquinoctialem li-
              <lb/>
            neam in n; </s>
            <s xml:id="echoid-s38249" xml:space="preserve">ducta autem recta H n, ſecat tropicum ♋, in q, puncto horæ 11. </s>
            <s xml:id="echoid-s38250" xml:space="preserve">producta denique re-
              <lb/>
            cta n H, vltra H, ſecat tropicum eundem in puncto p, per quod linea horæ 23. </s>
            <s xml:id="echoid-s38251" xml:space="preserve">ducenda eſt. </s>
            <s xml:id="echoid-s38252" xml:space="preserve">Eodẽ
              <lb/>
            artificio inueſtigabimus in eodem tropico puncta pro horis 9. </s>
            <s xml:id="echoid-s38253" xml:space="preserve">& </s>
            <s xml:id="echoid-s38254" xml:space="preserve">10. </s>
            <s xml:id="echoid-s38255" xml:space="preserve">ſi ex horis 21. </s>
            <s xml:id="echoid-s38256" xml:space="preserve">& </s>
            <s xml:id="echoid-s38257" xml:space="preserve">22. </s>
            <s xml:id="echoid-s38258" xml:space="preserve">quæ illis
              <lb/>
            opponuntur, per centrum E, rectas educamus, &</s>
            <s xml:id="echoid-s38259" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38260" xml:space="preserve">Cauſa autem huius rei eſt, quod in tropico in-
              <lb/>
            ueniuntur primo loco puncta reſpondentia illis punctis circuli M a N b, ex quibus rectæ per E,
              <lb/>
            ductæ prius per E, tranſeunt, quàm æquinoctialem lineam ſecent. </s>
            <s xml:id="echoid-s38261" xml:space="preserve">Vnde cum rectæ ex punctis ar-
              <lb/>
            cuum b u, & </s>
            <s xml:id="echoid-s38262" xml:space="preserve">a t, per E, ductæ, non prius per E, tranſeant, quàm lineam
              <unsure/>
            æquinoctialem ſecent, in-
              <lb/>
              <note position="left" xlink:label="note-0598-01" xlink:href="note-0598-01a" xml:space="preserve">10</note>
            uenientur primo loco in tropico puncta reſpondentia punctis illis oppoſitis. </s>
            <s xml:id="echoid-s38263" xml:space="preserve">Deinde verò ſi pro-
              <lb/>
            ducantur illæ rectæ occultæ per H, reperientur puncta etiam reſpondentia dictis punctis, vt lib. </s>
            <s xml:id="echoid-s38264" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s38265" xml:space="preserve">oſtendimus.</s>
            <s xml:id="echoid-s38266" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s38267" xml:space="preserve">QVOD ſi idem circulus ex E, deſcriptus ſecetur in 24 horas æquales, initio facto à puncto
              <lb/>
            e, quod eriam ad occaſum vergit, ſi horologium proprium ſitum adipiſcatur, & </s>
            <s xml:id="echoid-s38268" xml:space="preserve">per puncta diui-
              <lb/>
            ſionum, ac centrum E, rectæ emittantur, ſecabitur æquinoctialis linea in punctis, per quæ ſi rurſus
              <lb/>
            ducantur ex H, rectæ, ſecabitur tropicus ♑, in punctis, per quæ horæ ab occaſu Solis ducendæ
              <lb/>
            erunt. </s>
            <s xml:id="echoid-s38269" xml:space="preserve">Vt ſi ex puncto {δι}
              <unsure/>
            , horæ 23. </s>
            <s xml:id="echoid-s38270" xml:space="preserve">tropici ♑, per centrum E, recta ducatur ſecans æquinoctialem
              <lb/>
            lineam in ε, inueniemus per rectam H ε, productam in arcu ♑, punctũ λ, pro hora 23. </s>
            <s xml:id="echoid-s38271" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38272" xml:space="preserve">&</s>
            <s xml:id="echoid-s38273" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s38274" xml:space="preserve">Iraque ſi puncta horarum correſpondentia in tropicis inuenta connectantur lineis rectis, deſcri-
              <lb/>
              <note position="left" xlink:label="note-0598-02" xlink:href="note-0598-02a" xml:space="preserve">20</note>
            ptum erit horologium Italicum.</s>
            <s xml:id="echoid-s38275" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s38276" xml:space="preserve">PORRO in circulo M a N b, ſi diuiſio in partes 24. </s>
            <s xml:id="echoid-s38277" xml:space="preserve">incipiat à puncto b, punctum b, perti-
              <lb/>
            netad horam 24. </s>
            <s xml:id="echoid-s38278" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s38279" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38280" xml:space="preserve">& </s>
            <s xml:id="echoid-s38281" xml:space="preserve">ſequens punctum verſus N. </s>
            <s xml:id="echoid-s38282" xml:space="preserve">ad horam 23. </s>
            <s xml:id="echoid-s38283" xml:space="preserve">& </s>
            <s xml:id="echoid-s38284" xml:space="preserve">inſequensad 22. </s>
            <s xml:id="echoid-s38285" xml:space="preserve">&</s>
            <s xml:id="echoid-s38286" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s38287" xml:space="preserve">Item ſi diuiſio initium ſumat à puncto e, punctum e, ſpectatad horam 24. </s>
            <s xml:id="echoid-s38288" xml:space="preserve">♑, ab occ. </s>
            <s xml:id="echoid-s38289" xml:space="preserve">& </s>
            <s xml:id="echoid-s38290" xml:space="preserve">ſequens
              <lb/>
            verſus N, ad 23. </s>
            <s xml:id="echoid-s38291" xml:space="preserve">& </s>
            <s xml:id="echoid-s38292" xml:space="preserve">ſubſequens ad 22. </s>
            <s xml:id="echoid-s38293" xml:space="preserve">&</s>
            <s xml:id="echoid-s38294" xml:space="preserve">c.</s>
            <s xml:id="echoid-s38295" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s38296" xml:space="preserve">TRANSIBVNT autem neceſſario lineæ horarum ab occaſu per puncta lineæ æquino-
              <lb/>
            ctialis, vbi à lineis horarum à meridie, vel media nocte ſecatur. </s>
            <s xml:id="echoid-s38297" xml:space="preserve">Vt linea horæ 23. </s>
            <s xml:id="echoid-s38298" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38299" xml:space="preserve">per pun-
              <lb/>
            ctum horæ 5. </s>
            <s xml:id="echoid-s38300" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s38301" xml:space="preserve">& </s>
            <s xml:id="echoid-s38302" xml:space="preserve">linea horæ 22. </s>
            <s xml:id="echoid-s38303" xml:space="preserve">per punctum horæ 4 & </s>
            <s xml:id="echoid-s38304" xml:space="preserve">ſic deinceps, vt ex tabula conſtat,
              <lb/>
            quam in ſcholio propoſ. </s>
            <s xml:id="echoid-s38305" xml:space="preserve">19. </s>
            <s xml:id="echoid-s38306" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s38307" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38308" xml:space="preserve">deſcripſimus, & </s>
            <s xml:id="echoid-s38309" xml:space="preserve">cuius tir
              <unsure/>
            ulus eſt. </s>
            <s xml:id="echoid-s38310" xml:space="preserve">[ÆQVINOCTIALIS
              <lb/>
            LINEA] quam hic, quoad horas integras, repetiuimus, vt videas, quæ horæ ab or. </s>
            <s xml:id="echoid-s38311" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s38312" xml:space="preserve">& </s>
            <s xml:id="echoid-s38313" xml:space="preserve">à
              <lb/>
              <note position="left" xlink:label="note-0598-03" xlink:href="note-0598-03a" xml:space="preserve">30</note>
            mer. </s>
            <s xml:id="echoid-s38314" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s38315" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s38316" xml:space="preserve">ſe mutuo interſecent in linea æquinoctiali cuiuſcunque horologii, atque adeo
              <lb/>
            quæ horæ ab or. </s>
            <s xml:id="echoid-s38317" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s38318" xml:space="preserve">per quas horas à mer. </s>
            <s xml:id="echoid-s38319" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s38320" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s38321" xml:space="preserve">ducendæ ſint in æquinoctiali linea.
              <lb/>
            </s>
            <s xml:id="echoid-s38322" xml:space="preserve">Ternæ enim horæ huius tabellæ per vnum idemq́ue punctum lineæ æquinoctialis tranſeunt. </s>
            <s xml:id="echoid-s38323" xml:space="preserve">
              <lb/>
            Quod idem de partibus horarum intelligendum eſt,</s>
          </p>
        </div>
        <div xml:id="echoid-div1913" type="section" level="1" n="490">
          <head xml:id="echoid-head519" xml:space="preserve">Horæ ab or. vel occ. & à mer. vel med. noc. ſe mutuo ſecantes in vno \\ eodem puncto lineæ æquinoctialis.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Horæ ab \\ or. vel \\ occ. # 1 # 2 # 3 # 4 # 5 # 6 # 7 # 8 # 9 # 10 # 11 # 12 Horæ a \\ mer. vel \\ med. no. # VII # VIII # IX # X # XI # XII # I # II # III # IIII # V # VI Ho. ab or. \\ vel occ. # 13 # 14 # 15 # 16 # 17 # 18 # 19 # 20 # 21 # 22 # 23 # </note>
          <p>
            <s xml:id="echoid-s38324" xml:space="preserve">QVOD ſi puncta horarum in tropico ♋, non habeant in tropico ♑, puncta reſpondentia,
              <lb/>
              <note position="left" xlink:label="note-0598-06" xlink:href="note-0598-06a" xml:space="preserve">50</note>
            cuiu@modi ſuntin noſtro exemplo omnes horæ ante horam 16. </s>
            <s xml:id="echoid-s38325" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38326" xml:space="preserve">ducendæ erun t lineę ho-
              <lb/>
            rariæ per puncta in tropico ♋, inuenta, & </s>
            <s xml:id="echoid-s38327" xml:space="preserve">per puncta reſpondentia in æquinoctiali linea: </s>
            <s xml:id="echoid-s38328" xml:space="preserve">quæ
              <lb/>
            quidem puncta ex dicta tabula in ſcholio propoſ. </s>
            <s xml:id="echoid-s38329" xml:space="preserve">19. </s>
            <s xml:id="echoid-s38330" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s38331" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38332" xml:space="preserve">poſita inueniuntur, vel ex proxima ta-
              <lb/>
            bella hic poſita. </s>
            <s xml:id="echoid-s38333" xml:space="preserve">Vt linea horæ 11. </s>
            <s xml:id="echoid-s38334" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38335" xml:space="preserve">ducenda eſt per horam 23. </s>
            <s xml:id="echoid-s38336" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38337" xml:space="preserve">in linea æquinoctia.
              <lb/>
            </s>
            <s xml:id="echoid-s38338" xml:space="preserve">li, à qua nimirum illa abeſt horis 12. </s>
            <s xml:id="echoid-s38339" xml:space="preserve">Item hora 10. </s>
            <s xml:id="echoid-s38340" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38341" xml:space="preserve">ducenda eſt per horam 22. </s>
            <s xml:id="echoid-s38342" xml:space="preserve">& </s>
            <s xml:id="echoid-s38343" xml:space="preserve">hora 9. </s>
            <s xml:id="echoid-s38344" xml:space="preserve">
              <lb/>
            per horam 21. </s>
            <s xml:id="echoid-s38345" xml:space="preserve">&</s>
            <s xml:id="echoid-s38346" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38347" xml:space="preserve">Linea vero horæ 12. </s>
            <s xml:id="echoid-s38348" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38349" xml:space="preserve">ducenda erit per punctum in tropico ♋, inuen-
              <lb/>
            tum parallela lineæ æquinoctiali, vel lineæ horæ 6. </s>
            <s xml:id="echoid-s38350" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s38351" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s38352" xml:space="preserve">noc.</s>
            <s xml:id="echoid-s38353" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s38354" xml:space="preserve">NON diſſimili arte horologium Babylonicum conficiemus, ſi diuiſionem circuli ex E, de-
              <lb/>
              <note position="left" xlink:label="note-0598-07" xlink:href="note-0598-07a" xml:space="preserve">Conſtructio ho-
                <lb/>
              rologii Babylo-
                <lb/>
              nici horizonta-
                <lb/>
              lis.</note>
            ſcripti in 24. </s>
            <s xml:id="echoid-s38355" xml:space="preserve">horas æquales inchoemus à punctis a, & </s>
            <s xml:id="echoid-s38356" xml:space="preserve">d, quæ horologio poſito in proprio ſitu,
              <lb/>
            orientalia ſunt; </s>
            <s xml:id="echoid-s38357" xml:space="preserve">ita vt punctum a, pertineat ad horam 24. </s>
            <s xml:id="echoid-s38358" xml:space="preserve">ab ortu in tropico ♋, & </s>
            <s xml:id="echoid-s38359" xml:space="preserve">ſequens pun-
              <lb/>
            ctum verſus N, ad horam 1. </s>
            <s xml:id="echoid-s38360" xml:space="preserve">ab ortu, & </s>
            <s xml:id="echoid-s38361" xml:space="preserve">inſequens ad 2. </s>
            <s xml:id="echoid-s38362" xml:space="preserve">&</s>
            <s xml:id="echoid-s38363" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38364" xml:space="preserve">Item punctum d, referat horam 24.</s>
            <s xml:id="echoid-s38365" xml:space="preserve"/>
          </p>
        </div>
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