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 Notes

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page |< < (584) of 677 > >|
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        <div xml:id="echoid-div1913" type="section" level="1" n="490">
          <p>
            <s xml:id="echoid-s38615" xml:space="preserve">
              <pb o="584" file="0600" n="600" rhead="GNOMONICES"/>
            nobis poſſit pro Babylonico, ſi modo inuertatur, vt pars ſiniſtra fiat dextra, & </s>
            <s xml:id="echoid-s38616" xml:space="preserve">contra: </s>
            <s xml:id="echoid-s38617" xml:space="preserve">& </s>
            <s xml:id="echoid-s38618" xml:space="preserve">ex linea
              <lb/>
            horæ 23. </s>
            <s xml:id="echoid-s38619" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38620" xml:space="preserve">fiat hora 1. </s>
            <s xml:id="echoid-s38621" xml:space="preserve">ab ortu: </s>
            <s xml:id="echoid-s38622" xml:space="preserve">& </s>
            <s xml:id="echoid-s38623" xml:space="preserve">2. </s>
            <s xml:id="echoid-s38624" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s38625" xml:space="preserve">fiat ex 22. </s>
            <s xml:id="echoid-s38626" xml:space="preserve">ab occ. </s>
            <s xml:id="echoid-s38627" xml:space="preserve">&</s>
            <s xml:id="echoid-s38628" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38629" xml:space="preserve">In exemplo ſuprapoſito
              <lb/>
            continentur & </s>
            <s xml:id="echoid-s38630" xml:space="preserve">horæ Aſtronomicæ, & </s>
            <s xml:id="echoid-s38631" xml:space="preserve">Italicæ, vna cum Babylonicis. </s>
            <s xml:id="echoid-s38632" xml:space="preserve">Aſtronomicæ ſunt occultæ
              <lb/>
            punctis tantummodo notatæ: </s>
            <s xml:id="echoid-s38633" xml:space="preserve">Italicæ ſunt 23. </s>
            <s xml:id="echoid-s38634" xml:space="preserve">22. </s>
            <s xml:id="echoid-s38635" xml:space="preserve">21. </s>
            <s xml:id="echoid-s38636" xml:space="preserve">& </s>
            <s xml:id="echoid-s38637" xml:space="preserve">ita deinceps, Babylonicæ denique 1.
              <lb/>
            </s>
            <s xml:id="echoid-s38638" xml:space="preserve">2. </s>
            <s xml:id="echoid-s38639" xml:space="preserve">3. </s>
            <s xml:id="echoid-s38640" xml:space="preserve">4. </s>
            <s xml:id="echoid-s38641" xml:space="preserve">&</s>
            <s xml:id="echoid-s38642" xml:space="preserve">c. </s>
            <s xml:id="echoid-s38643" xml:space="preserve">Vbietiam vides, horas Italicas productas dare eaſdem numero horas Babylonicas,
              <lb/>
            & </s>
            <s xml:id="echoid-s38644" xml:space="preserve">contra.</s>
            <s xml:id="echoid-s38645" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s38646" xml:space="preserve">PLVRIMVM etiam conferent ad rectam deſcriptionem horolog@i Italici, & </s>
            <s xml:id="echoid-s38647" xml:space="preserve">Babylonici
              <lb/>
            ea, quæ lib. </s>
            <s xml:id="echoid-s38648" xml:space="preserve">1. </s>
            <s xml:id="echoid-s38649" xml:space="preserve">diximus de mutua ſectione linearum horarum à mer. </s>
            <s xml:id="echoid-s38650" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s38651" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s38652" xml:space="preserve">& </s>
            <s xml:id="echoid-s38653" xml:space="preserve">horarum ab
              <lb/>
            or. </s>
            <s xml:id="echoid-s38654" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s38655" xml:space="preserve">inter ſe. </s>
            <s xml:id="echoid-s38656" xml:space="preserve">Pro qua re varias etiam tabulas conſtruximus in ſcholiis propoſ. </s>
            <s xml:id="echoid-s38657" xml:space="preserve">19. </s>
            <s xml:id="echoid-s38658" xml:space="preserve">& </s>
            <s xml:id="echoid-s38659" xml:space="preserve">20.
              <lb/>
            </s>
            <s xml:id="echoid-s38660" xml:space="preserve">eiuſdem lib. </s>
            <s xml:id="echoid-s38661" xml:space="preserve">Quo pacto autem ex hiſce tabulis tam horæ ab or. </s>
            <s xml:id="echoid-s38662" xml:space="preserve">quàm ab occ deſcribantur, vel de-
              <lb/>
              <note position="left" xlink:label="note-0600-01" xlink:href="note-0600-01a" xml:space="preserve">10</note>
            ſcriptæ examinentur, abunde declarauimus propoſ. </s>
            <s xml:id="echoid-s38663" xml:space="preserve">10. </s>
            <s xml:id="echoid-s38664" xml:space="preserve">& </s>
            <s xml:id="echoid-s38665" xml:space="preserve">11. </s>
            <s xml:id="echoid-s38666" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s38667" xml:space="preserve">2. </s>
            <s xml:id="echoid-s38668" xml:space="preserve">Vtopus non ſit ea, quæ ibi hac
              <lb/>
            de re ſcripſimus, iterum hic inculcare.</s>
            <s xml:id="echoid-s38669" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1921" type="section" level="1" n="491">
          <head xml:id="echoid-head520" style="it" xml:space="preserve">DE HOROLOGIO HORIZONT ALI
            <lb/>
          Antiquo. CAP. V.</head>
          <p>
            <s xml:id="echoid-s38670" xml:space="preserve">SECETVR circulus ex E, deſcriptus in arcum diurnum tropici ♋, a N b, & </s>
            <s xml:id="echoid-s38671" xml:space="preserve">in arcum diur-
              <lb/>
              <note position="left" xlink:label="note-0600-02" xlink:href="note-0600-02a" xml:space="preserve">Deſcriptio ho-
                <lb/>
              rologij Antiqui
                <lb/>
              hor@zo@talis.</note>
            num tropici ♑, d N e, vt ad initium præcedentis capitis docuimus. </s>
            <s xml:id="echoid-s38672" xml:space="preserve">Deinde arcus diurnus ♋,
              <lb/>
            a N b, in 12. </s>
            <s xml:id="echoid-s38673" xml:space="preserve">partes æquales diſtribuatur, initio facto à puncto a, orientali. </s>
            <s xml:id="echoid-s38674" xml:space="preserve">Nam ſi per diuiſionũ
              <lb/>
            puncta, & </s>
            <s xml:id="echoid-s38675" xml:space="preserve">centrum E, rectas occultas ducamus, ſecabitur ęquinoctialis linea in punctis, per quæ ſi
              <lb/>
              <note position="left" xlink:label="note-0600-03" xlink:href="note-0600-03a" xml:space="preserve">20</note>
            rurſus ex H, centro horologii aliæ rectę occultæ emittantur ſecantes tropicum ♋, inuenta erunt
              <lb/>
              <figure xlink:label="fig-0600-01" xlink:href="fig-0600-01a" number="370">
                <image file="0600-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0600-01"/>
              </figure>
              <note position="left" xlink:label="note-0600-04" xlink:href="note-0600-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0600-05" xlink:href="note-0600-05a" xml:space="preserve">40</note>
            puncta, per quæ ducendæ eruntlineæ horarum inæqualium, non aliter atque in antecedenti capi-
              <lb/>
            te inuenimus in eodem tropico puncta horarum ab or. </s>
            <s xml:id="echoid-s38676" xml:space="preserve">& </s>
            <s xml:id="echoid-s38677" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s38678" xml:space="preserve">Quod ſi arcus diurnus ♑, d N e,
              <lb/>
              <note position="left" xlink:label="note-0600-06" xlink:href="note-0600-06a" xml:space="preserve">50</note>
            in 12. </s>
            <s xml:id="echoid-s38679" xml:space="preserve">quoque æquales partes diuidatur initio facto à puncto d, orientali, reperiemus eodem mo-
              <lb/>
            do in tropico ♑, puncta horarum inæqualium. </s>
            <s xml:id="echoid-s38680" xml:space="preserve">Siigitur reſpondentia puncta lineis rectis con-
              <lb/>
            iungantur, deſcriptum erit horologium Antiquum. </s>
            <s xml:id="echoid-s38681" xml:space="preserve">Tranſibunt autem omnes lineæ horarum
              <lb/>
            inęqualium per horas à mer. </s>
            <s xml:id="echoid-s38682" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s38683" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s38684" xml:space="preserve">in linea æquinoctiali. </s>
            <s xml:id="echoid-s38685" xml:space="preserve">Exempli gratia. </s>
            <s xml:id="echoid-s38686" xml:space="preserve">Ex f, puncto ho-
              <lb/>
            ræ 3. </s>
            <s xml:id="echoid-s38687" xml:space="preserve">inæqualis tropici ♑, per E, ducta recta ſecat æquinoctialem lineam in g, recta autem ex H,
              <lb/>
            per g, emiſſa ſecat tropicum ♑, in h, puncto, per quod linea horæ 3. </s>
            <s xml:id="echoid-s38688" xml:space="preserve">inæqualis ducenda eſt. </s>
            <s xml:id="echoid-s38689" xml:space="preserve">Rur-
              <lb/>
            ſus ex puncto m, quod opponitur horæ 11. </s>
            <s xml:id="echoid-s38690" xml:space="preserve">inæquali tropici ♋, (Nam hora 11. </s>
            <s xml:id="echoid-s38691" xml:space="preserve">inæqualis tropici
              <lb/>
            ♋, in arcu b u, continetur; </s>
            <s xml:id="echoid-s38692" xml:space="preserve">atque ita eius punctum in tropico ♋, inueſtigandum eſt per punctũ
              <lb/>
            oppoſitum, vt de horisab or. </s>
            <s xml:id="echoid-s38693" xml:space="preserve">& </s>
            <s xml:id="echoid-s38694" xml:space="preserve">occ. </s>
            <s xml:id="echoid-s38695" xml:space="preserve">in arcubus bu, at, contentis diximus in pręcedẽti cap.) </s>
            <s xml:id="echoid-s38696" xml:space="preserve">recta
              <lb/>
            emiſſa per E, ſecat lineam æquinoctialẽ in puncto n, (quod tamen in exemplo propter anguſtiam
              <lb/>
            ſpatij non continetur) at recta H n, ſecat tropicũ ♋, in puncto p, quod puncto aſſumpto m, </s>
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