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 contents

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[311.] PROBLEMA 34. PROPOSITIO 34.
[312.] PROBLEMA 35. PROPOSITIO 35.
[313.] SCHOLIVM.
[314.] PROBLEMA 36. PROPOSITIO 36.
[315.] DE HOROLOGIIS ET A VERTICALI declinantibus, & ad Horizontem inclinatis.
[316.] PROBLEMA 37. PROPOSITIO 37.
[317.] SCHOLIVM.
[318.] PROBLEMA 38. PROPOSITIO 38.
[319.] SCHOLIVM.
[320.] PROBLEMA 39. PROPOSITIQ 39.
[321.] SCHOLIVM.
[322.] PROBLEMA 40. PROPOSITIO 40.
[323.] SCHOLIVM.
[324.] PROBLEMA 41. PROPOSITIO 41.
[325.] PROBLEMA 42. PROPOSITIO 42.
[326.] PROBLEMA 43. PROPOSITIO 43.
[327.] PROBLEMA 44. PROPOSITIO 44.
[328.] SCHOLIVM.
[329.] PROBLEMA 45. PROPOSITIO 45.
[330.] SCHOLIVM.
[331.] PROBLEMA 46. PROPOSITIO 46.
[332.] PROBLEMA 47. PROPOSITIO 47.
[333.] PROBLEMA 48. PROPOSITIO 48.
[334.] FINIS TERTII LIBRI.
[335.] GNOMONICES LIBER QVARTVS.
[336.] AVCTORE
[337.] CHRISTOPHORO CLAVIO BAMBER GENSI SOCIETATIS IESV.
[338.] PROBLEMA 1. PROPOSITIO 1.
[339.] I. SOLE EXISTENTE IN PRINCIPIO ♈.
[340.] II. SOLE EXISTENTE IN PRINCIPIO ♎.
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            <s xml:id="echoid-s24156" xml:space="preserve">
              <pb o="367" file="0383" n="383" rhead="LIBER TERTIVS."/>
            remus ad 2. </s>
            <s xml:id="echoid-s24157" xml:space="preserve">tabulam, in qua inueniemus, Sole existente in principio ♎, ſignum ♉, oriri hora 7. </s>
            <s xml:id="echoid-s24158" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s24159" xml:space="preserve">8.
              <lb/>
            </s>
            <s xml:id="echoid-s24160" xml:space="preserve">post meridiem, ſignum verò ♊, hora 8. </s>
            <s xml:id="echoid-s24161" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s24162" xml:space="preserve">34. </s>
            <s xml:id="echoid-s24163" xml:space="preserve">poſt meridiem, concludo ſignum ♉, ducendum eſſe in
              <lb/>
            parte horologij orientali, ſiue pomeridiana, per punctum remotius in linea æquinoctiali, quàm ſi-
              <lb/>
            gnum ♊, &</s>
            <s xml:id="echoid-s24164" xml:space="preserve">c.</s>
            <s xml:id="echoid-s24165" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s24166" xml:space="preserve">IDEM ordo ex dicta poſteriori figura facile etiam colligi poteſt. </s>
            <s xml:id="echoid-s24167" xml:space="preserve">Cognito enim puncto, per quod ſi-
              <lb/>
            gnum ♉, ducendum eſt, quod ſemper remotius eſt omnibus alijs, ſequentur deinde alia ſigna, prout in
              <lb/>
            dicta figura continentur. </s>
            <s xml:id="echoid-s24168" xml:space="preserve">Vt quoniam ſignum ♉, ducendum est per remotiſſimum punctum lineę æquino-
              <lb/>
            ctialis in parte pomeridiana horologii, ducenda erunt per ſequens punctum ſigna ♊, & </s>
            <s xml:id="echoid-s24169" xml:space="preserve">♏, & </s>
            <s xml:id="echoid-s24170" xml:space="preserve">per ſe-
              <lb/>
            quens punctum ſignum ♋, &</s>
            <s xml:id="echoid-s24171" xml:space="preserve">c.</s>
            <s xml:id="echoid-s24172" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
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        <div xml:id="echoid-div1251" type="section" level="1" n="311">
          <head xml:id="echoid-head321" xml:space="preserve">PROBLEMA 34. PROPOSITIO 34.</head>
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            <s xml:id="echoid-s24173" xml:space="preserve">HOROLOGIVM Italicum ad Horizontem inclinatum
              <lb/>
            conſtruere.</s>
            <s xml:id="echoid-s24174" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s24175" xml:space="preserve">CIRCVLVS ex E, deſcriptus diuidatur, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s24176" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24177" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24178" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24179" xml:space="preserve">docuimus, in arcum
              <lb/>
              <note position="right" xlink:label="note-0383-02" xlink:href="note-0383-02a" xml:space="preserve">Compoſitio ho
                <lb/>
              rologii Italici
                <lb/>
              ad Horizontẽ
                <unsure/>
                <lb/>
              inclinati.</note>
            diurnum tropici ♋, a N b, & </s>
            <s xml:id="echoid-s24180" xml:space="preserve">nocturnum a M b. </s>
            <s xml:id="echoid-s24181" xml:space="preserve">Deinde idem, initio facto à puncto b, occiden-
              <lb/>
            tali, ſecetur in partes 24. </s>
            <s xml:id="echoid-s24182" xml:space="preserve">æquales, & </s>
            <s xml:id="echoid-s24183" xml:space="preserve">reliqua fiant, vt in præcedentibus, deſcriptumq́ue erit horo-
              <lb/>
              <note position="left" xlink:label="note-0383-03" xlink:href="note-0383-03a" xml:space="preserve">20</note>
              <figure xlink:label="fig-0383-01" xlink:href="fig-0383-01a" number="257">
                <image file="0383-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0383-01"/>
              </figure>
              <note position="left" xlink:label="note-0383-04" xlink:href="note-0383-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0383-05" xlink:href="note-0383-05a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0383-06" xlink:href="note-0383-06a" xml:space="preserve">50</note>
            logium Italicem. </s>
            <s xml:id="echoid-s24184" xml:space="preserve">Exempli gratia, ſit ducenda linea horæ 9. </s>
            <s xml:id="echoid-s24185" xml:space="preserve">ab occaſu. </s>
            <s xml:id="echoid-s24186" xml:space="preserve">Ex F, puncto horæ 9. </s>
            <s xml:id="echoid-s24187" xml:space="preserve">per
              <lb/>
            E, centrum ducta recta ſecat æquinoctialem lineam in puncto L; </s>
            <s xml:id="echoid-s24188" xml:space="preserve">recta autem ex L, ad H, centrũ
              <lb/>
            horologij extenſa ſecat tropicum ♋, in M, puncto horæ 9. </s>
            <s xml:id="echoid-s24189" xml:space="preserve">ab occaſu. </s>
            <s xml:id="echoid-s24190" xml:space="preserve">Et quoniam, vt ex tabula
              <lb/>
            6. </s>
            <s xml:id="echoid-s24191" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s24192" xml:space="preserve">33. </s>
            <s xml:id="echoid-s24193" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24194" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24195" xml:space="preserve">conſtat, hora 9. </s>
            <s xml:id="echoid-s24196" xml:space="preserve">ab occaſu tranſit etiam per horam 3. </s>
            <s xml:id="echoid-s24197" xml:space="preserve">à media nocte in arcu no-
              <lb/>
            cturno horarum 12. </s>
            <s xml:id="echoid-s24198" xml:space="preserve">quem exhibet in noſtro horologio linea æquinoctialis, cum tota ſupra hori-
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            zontalem lineam exiſtat; </s>
            <s xml:id="echoid-s24199" xml:space="preserve">vel certè ducitur per horam 3. </s>
            <s xml:id="echoid-s24200" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s24201" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s24202" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s24203" xml:space="preserve">in linea æquinoctiali
              <lb/>
            ſimpliciter, ſiue ea arcum diurnum, ſiue nocturnum referat, vt conſtat ex tabula propoſ. </s>
            <s xml:id="echoid-s24204" xml:space="preserve">19. </s>
            <s xml:id="echoid-s24205" xml:space="preserve">libri 1.
              <lb/>
            </s>
            <s xml:id="echoid-s24206" xml:space="preserve">dabit recta ex M, per horam 3. </s>
            <s xml:id="echoid-s24207" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s24208" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s24209" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s24210" xml:space="preserve">in linea æquinoctiali, quæ quidem in </s>
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