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 figures

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            <s xml:id="echoid-s38162" xml:space="preserve">
              <pb o="581" file="0597" n="597" rhead="LIBER SEPTIMVS."/>
            ſunt deſcripti, &</s>
            <s xml:id="echoid-s38163" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38164" xml:space="preserve">In figuram radiorum Zodiaci cap. </s>
            <s xml:id="echoid-s38165" xml:space="preserve">præcedentis tranſportauimus radios longi-
              <lb/>
              <note position="right" xlink:label="note-0597-01" xlink:href="note-0597-01a" xml:space="preserve">Deſcriptio at-
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              cuum longitu-
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              dinum dierum
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              in horologio ho
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              rizontali.</note>
            tudinum dierum horarum 14. </s>
            <s xml:id="echoid-s38166" xml:space="preserve">& </s>
            <s xml:id="echoid-s38167" xml:space="preserve">10. </s>
            <s xml:id="echoid-s38168" xml:space="preserve">Item horarum 18. </s>
            <s xml:id="echoid-s38169" xml:space="preserve">& </s>
            <s xml:id="echoid-s38170" xml:space="preserve">6. </s>
            <s xml:id="echoid-s38171" xml:space="preserve">& </s>
            <s xml:id="echoid-s38172" xml:space="preserve">horarum 24. </s>
            <s xml:id="echoid-s38173" xml:space="preserve">& </s>
            <s xml:id="echoid-s38174" xml:space="preserve">0. </s>
            <s xml:id="echoid-s38175" xml:space="preserve">punctis quibuſ-
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            dam inſignitos, ne cum radijs ſignorum confundantur. </s>
            <s xml:id="echoid-s38176" xml:space="preserve">His enim maxime in ijs, quæ ſequuntur
              <lb/>
            indigemus. </s>
            <s xml:id="echoid-s38177" xml:space="preserve">Facile autem ex ijs, quæ in præcedenti cap. </s>
            <s xml:id="echoid-s38178" xml:space="preserve">ſcripſimus, iudicabimus, quinam arcus
              <lb/>
            diurni ſint hyperbolæ, & </s>
            <s xml:id="echoid-s38179" xml:space="preserve">qui parabolæ, vel Ellipſes, ſi pro radiis ſignorum oppoſitorum ex pun-
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            cto D, in figura radiorum Zodiaci dicti capitis ducantur duo radii diurni oppoſiti, hoc eſt, æqua-
              <lb/>
            liter à radio Aequatoris diſtantes.</s>
            <s xml:id="echoid-s38180" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1909" type="section" level="1" n="489">
          <head xml:id="echoid-head518" style="it" xml:space="preserve">DE HOROLOGIO HORIZONTALI
            <lb/>
          Italico, & Babylonico. CAP. IIII.</head>
          <note position="left" xml:space="preserve">10</note>
          <p>
            <s xml:id="echoid-s38181" xml:space="preserve">CIRCVLVS ex E, deſcriptus cap. </s>
            <s xml:id="echoid-s38182" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38183" xml:space="preserve">ſecetur in horas 24. </s>
            <s xml:id="echoid-s38184" xml:space="preserve">æquales, initio facto à puncto
              <lb/>
              <note position="right" xlink:label="note-0597-03" xlink:href="note-0597-03a" xml:space="preserve">Deſcriptio ho-
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              rologii @alici
                <lb/>
              & Babyl
                <unsure/>
              enici
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              horizontalis.</note>
            N, numereturq́ue ad vtraſque partes N, arcus ſemidiurnus paralleli ♋, nempe ad latitu
              <lb/>
            dinem grad. </s>
            <s xml:id="echoid-s38185" xml:space="preserve">42. </s>
            <s xml:id="echoid-s38186" xml:space="preserve">horæ 7. </s>
            <s xml:id="echoid-s38187" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s38188" xml:space="preserve">32. </s>
            <s xml:id="echoid-s38189" xml:space="preserve">vſque ad puncta a, & </s>
            <s xml:id="echoid-s38190" xml:space="preserve">b, ducaturq́ue recta a b, ita vt, poſito cir
              <lb/>
            culo N a M b, parallelo ♋, arcus a N b, ſit portio illius ſupra terram, & </s>
            <s xml:id="echoid-s38191" xml:space="preserve">a M b, portio infra terrã.
              <lb/>
            </s>
            <s xml:id="echoid-s38192" xml:space="preserve">Supputetur rurí
              <unsure/>
            us ad vtraſque partes N, arcus ſemidiurnus paralleli ♑, nempe ad eandem latitu
              <lb/>
            dinem grad. </s>
            <s xml:id="echoid-s38193" xml:space="preserve">42. </s>
            <s xml:id="echoid-s38194" xml:space="preserve">horæ 4. </s>
            <s xml:id="echoid-s38195" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s38196" xml:space="preserve">28. </s>
            <s xml:id="echoid-s38197" xml:space="preserve">vſque ad puncta d, & </s>
            <s xml:id="echoid-s38198" xml:space="preserve">e, ducaturq́ue recta de, ita vt, poſito eo-
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            dem circulo N d M e, parallelo ♑, arcus d N e, ſit portio illius ſupra terram, & </s>
            <s xml:id="echoid-s38199" xml:space="preserve">d M e, portio in-
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            fra terram. </s>
            <s xml:id="echoid-s38200" xml:space="preserve">Idem circulus M a d N e b, alio modo diuidi poteſt in arcum diurnum ♋, & </s>
            <s xml:id="echoid-s38201" xml:space="preserve">♑, vt do
              <lb/>
            cuimus in ſcholio propoſ. </s>
            <s xml:id="echoid-s38202" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38203" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s38204" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38205" xml:space="preserve">Beneficio huius circuli hac ratione horologium Italicum con-
              <lb/>
              <note position="left" xlink:label="note-0597-04" xlink:href="note-0597-04a" xml:space="preserve">20</note>
            ſtruemus. </s>
            <s xml:id="echoid-s38206" xml:space="preserve">Circulus dictus diſtribuatur in 24. </s>
            <s xml:id="echoid-s38207" xml:space="preserve">horas æquales, initio facto à puncto b, quod nimi
              <lb/>
            rum, horologio proprium ſitum habente, ad occaſum vergit, ac per puncta diuiſionum, & </s>
            <s xml:id="echoid-s38208" xml:space="preserve">cen-
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              <figure xlink:label="fig-0597-01" xlink:href="fig-0597-01a" number="369">
                <image file="0597-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0597-01"/>
              </figure>
              <note position="left" xlink:label="note-0597-05" xlink:href="note-0597-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0597-06" xlink:href="note-0597-06a" xml:space="preserve">40</note>
            trum E, rectæ ducantur occultæ ſecantes æquinoctialem lineam in punctis, per quæ ſi alię occul-
              <lb/>
            tæ rectæ ducantur ex H, centro horologii, ſecabitur tropicus ♋, in punctis, per quæ ducendæ ſunt
              <lb/>
              <note position="left" xlink:label="note-0597-07" xlink:href="note-0597-07a" xml:space="preserve">50</note>
            horæ ab occaſu Solis, quę diligenter notentur. </s>
            <s xml:id="echoid-s38209" xml:space="preserve">Vt exempli gratia, per punctum f, horæ 18. </s>
            <s xml:id="echoid-s38210" xml:space="preserve">ab occ.
              <lb/>
            </s>
            <s xml:id="echoid-s38211" xml:space="preserve">& </s>
            <s xml:id="echoid-s38212" xml:space="preserve">centrum E, ducta recta f E, ſecat lineam æquinoctialem in g; </s>
            <s xml:id="echoid-s38213" xml:space="preserve">recta autem H g, ducta ſecatar-
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            cum ♋, in h, puncto, per quod linea horæ 18. </s>
            <s xml:id="echoid-s38214" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38215" xml:space="preserve">in horologio ducenda eſt. </s>
            <s xml:id="echoid-s38216" xml:space="preserve">Eademq́ue ratio
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            habenda eſt de cæteris. </s>
            <s xml:id="echoid-s38217" xml:space="preserve">Sed puncta horarum, quæ inter b, & </s>
            <s xml:id="echoid-s38218" xml:space="preserve">u, necnon inter a, & </s>
            <s xml:id="echoid-s38219" xml:space="preserve">t, continentur,
              <lb/>
            quales in noſtro exemplo ſunt hora 23. </s>
            <s xml:id="echoid-s38220" xml:space="preserve">9. </s>
            <s xml:id="echoid-s38221" xml:space="preserve">& </s>
            <s xml:id="echoid-s38222" xml:space="preserve">10. </s>
            <s xml:id="echoid-s38223" xml:space="preserve">hoc modo inuenientur in tropico ♋. </s>
            <s xml:id="echoid-s38224" xml:space="preserve">Ex horis,
              <lb/>
            quæ per diametrum opponuntur iſtis horis in circulo ex E, deſcripto (habentur autem horæ op-
              <lb/>
            poſitę ex additione horarum 12. </s>
            <s xml:id="echoid-s38225" xml:space="preserve">ad horas illas, reiectis tamen 24. </s>
            <s xml:id="echoid-s38226" xml:space="preserve">ſi numerus ex additione colle-
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            ctus maior fuerit, quàm 24. </s>
            <s xml:id="echoid-s38227" xml:space="preserve">Vt horæ 9. </s>
            <s xml:id="echoid-s38228" xml:space="preserve">opponitur hora 21. </s>
            <s xml:id="echoid-s38229" xml:space="preserve">quia ex 9. </s>
            <s xml:id="echoid-s38230" xml:space="preserve">& </s>
            <s xml:id="echoid-s38231" xml:space="preserve">12. </s>
            <s xml:id="echoid-s38232" xml:space="preserve">fiunt 21. </s>
            <s xml:id="echoid-s38233" xml:space="preserve">Ita etiam ho
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            ræ 23. </s>
            <s xml:id="echoid-s38234" xml:space="preserve">opponitur hora 11. </s>
            <s xml:id="echoid-s38235" xml:space="preserve">propterea quod ex 23. </s>
            <s xml:id="echoid-s38236" xml:space="preserve">& </s>
            <s xml:id="echoid-s38237" xml:space="preserve">12. </s>
            <s xml:id="echoid-s38238" xml:space="preserve">fiunt 35. </s>
            <s xml:id="echoid-s38239" xml:space="preserve">à quibus ſi abiiciantur 24. </s>
            <s xml:id="echoid-s38240" xml:space="preserve">rema-
              <lb/>
            nent 11. </s>
            <s xml:id="echoid-s38241" xml:space="preserve">&</s>
            <s xml:id="echoid-s38242" xml:space="preserve">c.) </s>
            <s xml:id="echoid-s38243" xml:space="preserve">ducendæ erunt per centrum E, rectæ ſecantes æquinoctialem lineam in punctis, per
              <lb/>
            quæ, ſi ex H, ducantur rectæ, ſecabitur quidem tropicus ♋, in punctis, quæ horis iſtis oppoſitis </s>
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