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

List of thumbnails

< >
121
121 (101) 		122
122 (102)
123
123 (103) 		124
124 (104)
125
125 (105) 		126
126 (106)
127
127 (107) 		128
128 (108)
129
129 (109) 		130
130 (110)
< >
page |< < (210) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div717" type="section" level="1" n="178">
          <p style="it">
            <s xml:id="echoid-s14419" xml:space="preserve">
              <pb o="210" file="0230" n="230" rhead="GNOMONICES"/>
            autem linea F K, eidem Horizonti æquidiſtet; </s>
            <s xml:id="echoid-s14420" xml:space="preserve">hac tamen addita conditione, vt in Auſtrali horologio
              <lb/>
            æquinoctialis F K, exiſtat infra centrum horologij H, in boreali verò ſupra idem, vt ante in hoc eodem
              <lb/>
            ſcholio præcepimus. </s>
            <s xml:id="echoid-s14421" xml:space="preserve">Quòd ſi in ipſo muro, vel plano quopiam ad Horizontem recto, & </s>
            <s xml:id="echoid-s14422" xml:space="preserve">directò ad meri-
              <lb/>
              <note position="left" xlink:label="note-0230-01" xlink:href="note-0230-01a" xml:space="preserve">Qua ratione in
                <lb/>
              plano ſtabili,
                <lb/>
              quod Verticali
                <lb/>
              proprie dicto
                <lb/>
              æquidiſtet, ho-
                <lb/>
              rologium ſit de
                <lb/>
              ſcribendum.</note>
            diem, Septentrionemve ſpectante ſit delineandum, efficiemus id hoc modo. </s>
            <s xml:id="echoid-s14423" xml:space="preserve">Beneficio perpendiculi duce-
              <lb/>
            mus in plano dato rectam H E, perpendicularem ad Horizontem, quæ linea meridiana erit in horologio.
              <lb/>
            </s>
            <s xml:id="echoid-s14424" xml:space="preserve">Hanc ad angulos rectos ſecabimus in I, per rectam F K, quæ linea erit æquinoctialis. </s>
            <s xml:id="echoid-s14425" xml:space="preserve">Deinde ex I, @ur-
              <lb/>
            ſum verſus in Auſtrali horologio, deorſum autem verſus in boreali, transferemus vſque ad H, rectam
              <lb/>
            I H, ex portione Analemmatis, & </s>
            <s xml:id="echoid-s14426" xml:space="preserve">rectam I E, accipiemus ęqualem rectæ I E, ex eadem portione Ana-
              <lb/>
            lemmatis, ſiue ſurſum verſus, ſiue deorſum. </s>
            <s xml:id="echoid-s14427" xml:space="preserve">Poſtremò deſcripto circulo ex E, eo{q́ue} in 24. </s>
            <s xml:id="echoid-s14428" xml:space="preserve">partes æquales
              <lb/>
            ſecto, reliqua perficiemus, vt antea.</s>
            <s xml:id="echoid-s14429" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s14430" xml:space="preserve">POSSVMVS quoque eandem conſtructionem inchoare hac ratione. </s>
            <s xml:id="echoid-s14431" xml:space="preserve">Ducta recta F K, Hori-
              <lb/>
            zonti par allela in muro, planove propoſito, (quod quidem facile fiet beneficio perpendiculi, & </s>
            <s xml:id="echoid-s14432" xml:space="preserve">libellæ)
              <lb/>
            pro linea æquinoctiali, ſecabimus eam ad angulos rectos in I, per rectam H E, quæ meridiana linea erit.
              <lb/>
            </s>
            <s xml:id="echoid-s14433" xml:space="preserve">Reliqua deinde, vt proximè ſcripſimus, abſoluemus.</s>
            <s xml:id="echoid-s14434" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s14435" xml:space="preserve">SI autem idem horologiũ deſcribendum ſit in dato plano, ſine portione Analemmatis ſeorſum conſtru
              <lb/>
              <note position="left" xlink:label="note-0230-03" xlink:href="note-0230-03a" xml:space="preserve">Deſcriptio ho-
                <lb/>
              rologii Vertica
                <lb/>
              lis ad datam ſty
                <lb/>
              li longitudinẽ,
                <lb/>
              cuius etiam lo-
                <lb/>
              cus datus ſit, ſi-
                <lb/>
              ne portione A-
                <lb/>
              nalẽmatis ſeor-
                <lb/>
              ſum conſtructa.</note>
            cta, ad quamcunque styli longitudinem, cuius etiam locus datus ſit, vtendum erit hac arte. </s>
            <s xml:id="echoid-s14436" xml:space="preserve">Sit longitu-
              <lb/>
            do ſtyli data D G, eius{q́ue} locus in plano horologij ſit punctum G. </s>
            <s xml:id="echoid-s14437" xml:space="preserve">Si igitur planum horologij fuerit quod-
              <lb/>
            cunque, vt borologium in eo deſcriptum in proprio deinde ſitu collocetur, vel in planum ſtabile, quod
              <lb/>
              <figure xlink:label="fig-0230-01" xlink:href="fig-0230-01a" number="159">
                <image file="0230-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0230-01"/>
              </figure>
              <note position="left" xlink:label="note-0230-04" xlink:href="note-0230-04a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0230-05" xlink:href="note-0230-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0230-06" xlink:href="note-0230-06a" xml:space="preserve">40</note>
            Verticali proprie dicto ſit parallelum, transferatur, vt paulo ante diximus, ducenda eſt per G, locum
              <lb/>
            ſtyli linea recta M N, vtcunque pro linea meridiana: </s>
            <s xml:id="echoid-s14438" xml:space="preserve">Si autem planum horologij ſtabile proponatur,
              <lb/>
            verticali proprie dicto parallelum, cuiuſmodi eſt planum cuiuſuis muri ad Horizontem recti, qui dire-
              <lb/>
            cto ad meridiem ſpectet, vel ad Septentrionem, ducenda eſt per G, locum ſtyli, beneficio perpendiculi,
              <lb/>
            recta M N, ad Horizontem perpendicularis pro linea meridiana; </s>
            <s xml:id="echoid-s14439" xml:space="preserve">Vel certe beneficio perpendiculi ac
              <lb/>
            libellæ per G, ducenda linea Horizonti parallela, tanquam communis ſectio plani horologij, & </s>
            <s xml:id="echoid-s14440" xml:space="preserve">Horizon-
              <lb/>
              <note position="left" xlink:label="note-0230-07" xlink:href="note-0230-07a" xml:space="preserve">50</note>
            tis, quam ſi in G, ſecet recta M N, ad angulos rectos, erit rurſus M N, ad Horizontem perpendicula-
              <lb/>
            ris, & </s>
            <s xml:id="echoid-s14441" xml:space="preserve">linea meridiana, communis nimirum ſectio plani horologij ac Meridiani. </s>
            <s xml:id="echoid-s14442" xml:space="preserve">Quoniam enim tam pla-
              <lb/>
            num horologij, quàm planum Meridiani ad Horizontem rectum eſt, erit quoque eorum ſectio communis
              <lb/>
            ad eundem perpendicularis, at que adeo, per defin. </s>
            <s xml:id="echoid-s14443" xml:space="preserve">3. </s>
            <s xml:id="echoid-s14444" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s14445" xml:space="preserve">11. </s>
            <s xml:id="echoid-s14446" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s14447" xml:space="preserve">& </s>
            <s xml:id="echoid-s14448" xml:space="preserve">ad rectam, quæ per G, ducta eſt æqui
              <lb/>
              <note position="left" xlink:label="note-0230-08" xlink:href="note-0230-08a" xml:space="preserve">19. vndec.</note>
            diſtans Horizonti, tanquam communis ſectio Horizontis ac plani horologii, cum hæc recta in Horizonte
              <lb/>
            exiſtat. </s>
            <s xml:id="echoid-s14449" xml:space="preserve">Quare cum Meridianus tranſeat per G; </s>
            <s xml:id="echoid-s14450" xml:space="preserve">(Eſt enim ſtylus D G, communis ſectio Horizontis ac
              <lb/>
            Meridiani) erit M N, quæ per G, ducta eſt perpendicularis ad illam rectam, communis ſectio Meridiani
              <lb/>
            & </s>
            <s xml:id="echoid-s14451" xml:space="preserve">plani horologii. </s>
            <s xml:id="echoid-s14452" xml:space="preserve">Ad hanc deinde lineam meridianam M N, excitanda eſt in G, per pendicularis
              <lb/>
            B G D, ſumenda{q́ue} G D, dato ſtylo æqualis. </s>
            <s xml:id="echoid-s14453" xml:space="preserve">Facto autem D, centro, deſcribendus eſt arcus circuli A B C,
              <lb/>
            in quo à recta D B, verſus A, hoc eſt, ſurſum verſus, ſi horologium ad meridiem ſpectet, numeretur alti-
              <lb/>
            tudo poli B A, & </s>
            <s xml:id="echoid-s14454" xml:space="preserve">deorſum verſus complementum altitudinis poli B C. </s>
            <s xml:id="echoid-s14455" xml:space="preserve">Quòd ſi horologium ſpectet </s>
          </p>
        </div>
      </text>
    </echo>
Impressum