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

Page concordance

< >
Scan Original
451 435
452 436
453 437
454 438
455 439
456 440
457 441
458 442
459 443
460 444
461 445
462 446
463 447
464 448
465 449
466 450
467 451
468 452
469 453
470 454
471 455
472 456
473 457
474 458
475 459
476 460
477 461
478 462
479 463
480 464
< >
page |< < (436) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div1467" type="section" level="1" n="356">
          <p>
            <s xml:id="echoid-s28628" xml:space="preserve">
              <pb o="436" file="0452" n="452" rhead="GNOMONICES"/>
            quæ in Germania, aut Gallia confecta communiter circumferuntur, conſtantq́ue ex duabus tabel-
              <lb/>
              <note position="left" xlink:label="note-0452-01" xlink:href="note-0452-01a" xml:space="preserve">Ad quas altitu
                <lb/>
              dines poli fa
                <lb/>
              bricata fint ho
                <lb/>
              rologia horizõ
                <lb/>
              talia, Vertica
                <lb/>
              liaque, quæ vul
                <lb/>
              go cicuterun-
                <lb/>
              tur cũ acu Ma
                <lb/>
              gnete illita, quo
                <lb/>
              modo cogno-
                <lb/>
              ſca@ur.</note>
            lis planis, & </s>
            <s xml:id="echoid-s28629" xml:space="preserve">quadratis ad angulum rectum coniunctis, quarum inferior, in qua acus continetur
              <lb/>
            Magnete illita, horologium horizontale continet
              <unsure/>
            ; </s>
            <s xml:id="echoid-s28630" xml:space="preserve">altera verò, quæ ſupra hanc erigitur ad angulos
              <lb/>
            rectos, Verticale. </s>
            <s xml:id="echoid-s28631" xml:space="preserve">Nam cum huiuſmodi horologia plerunque ſint aſtronomica, habeantq
              <unsure/>
            ue fi-
              <lb/>
            lum per centra horologiorum extenſum pro axe mundi, quod horas indicet; </s>
            <s xml:id="echoid-s28632" xml:space="preserve">ſi conſtruatur trian-
              <lb/>
            gulum rectangulum, cuius vnum latus circa rectum angulum æquale ſit portioni meridianæ li-
              <lb/>
            neæ in horizontali horologio inter filum, ſeu centrum horologii, & </s>
            <s xml:id="echoid-s28633" xml:space="preserve">alteram tabellam interpoſitę,
              <lb/>
            alterum verò ſegmento lineæ meridianæ in Verticali horologio inter filum, centrumve horolo-
              <lb/>
            gii, & </s>
            <s xml:id="echoid-s28634" xml:space="preserve">priorem tabellam interiectæ, continebit reliquum latus angulo recto obiectum cum meri-
              <lb/>
            diana linea horologii horizõ talis angulum altitudinis poli, ad quam conſtructum eſt horologiũ,
              <lb/>
              <note position="left" xlink:label="note-0452-02" xlink:href="note-0452-02a" xml:space="preserve">10</note>
            cum meridiana verò linea Verticalis horologii angulum complementi altitudinis poli, vt con-
              <lb/>
            ſtat. </s>
            <s xml:id="echoid-s28635" xml:space="preserve">At vero ſi huiuſmodi horologia loco fili habeant triangulum rectangulum in horologio ho
              <lb/>
            rizontali, quod erigi, & </s>
            <s xml:id="echoid-s28636" xml:space="preserve">deprimi poteſt, (Id quod in multis accidit) ita vt eo erecto, ſuprema linea
              <lb/>
            angulo recto oppoſita, tanquàm axis, horas indicet, conficiemus ei triangulum omnino æquale.
              <lb/>
            </s>
            <s xml:id="echoid-s28637" xml:space="preserve">Nam angulus reſpondens inferiori angulo in horizontali horologio continebit altitudinem po-
              <lb/>
            li, alter verò complementum altitudims poli.</s>
            <s xml:id="echoid-s28638" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28639" xml:space="preserve">RVRSVS detur ho
              <lb/>
            rologium Meridianũ B,
              <lb/>
              <note position="left" xlink:label="note-0452-03" xlink:href="note-0452-03a" xml:space="preserve">Quo pacto pro
                <lb/>
              blema propoſi-
                <lb/>
              tum abſolua-
                <lb/>
              tur in horolo-
                <lb/>
              gio Meridiano</note>
              <figure xlink:label="fig-0452-01" xlink:href="fig-0452-01a" number="300">
                <image file="0452-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0452-01"/>
              </figure>
            ſiue orientale, ſiue occi-
              <lb/>
            dentale, in quo æquino-
              <lb/>
            ctialis linea A C, horizõ-
              <lb/>
              <note position="left" xlink:label="note-0452-04" xlink:href="note-0452-04a" xml:space="preserve">20</note>
            talis D E, & </s>
            <s xml:id="echoid-s28640" xml:space="preserve">ſtylus A G,
              <lb/>
            eiusq́ue locus A. </s>
            <s xml:id="echoid-s28641" xml:space="preserve">Angu-
              <lb/>
            lus acutus C A E, quem
              <lb/>
            æquinoctialis linea cum
              <lb/>
            horizontali facit, æqualis
              <lb/>
            eſt complemento altitu-
              <lb/>
            dinis poli: </s>
            <s xml:id="echoid-s28642" xml:space="preserve">Item acutus
              <lb/>
            E A F, quem linea horæ
              <lb/>
            6. </s>
            <s xml:id="echoid-s28643" xml:space="preserve">à meridie, vel media
              <lb/>
            nocte (quæ quidem per
              <lb/>
              <note position="left" xlink:label="note-0452-05" xlink:href="note-0452-05a" xml:space="preserve">30</note>
            A, locum ſtyli ducitur ad
              <lb/>
            æquinoctialem lineã per
              <lb/>
            pendicularis) conſtituit
              <lb/>
            cum linea æquinoctiali,
              <lb/>
            æqualis eſt altitudini po-
              <lb/>
            li. </s>
            <s xml:id="echoid-s28644" xml:space="preserve">Longitudo autem ſty-
              <lb/>
            li ſemper æqualis eſt ſpa-
              <lb/>
            tio in linea æquinoctiali
              <lb/>
            inter A, & </s>
            <s xml:id="echoid-s28645" xml:space="preserve">punctum C,
              <lb/>
            per quod hora 9. </s>
            <s xml:id="echoid-s28646" xml:space="preserve">à me-
              <lb/>
              <note position="left" xlink:label="note-0452-06" xlink:href="note-0452-06a" xml:space="preserve">40</note>
            dia nocte, & </s>
            <s xml:id="echoid-s28647" xml:space="preserve">hora 3. </s>
            <s xml:id="echoid-s28648" xml:space="preserve">ab
              <lb/>
            ortu; </s>
            <s xml:id="echoid-s28649" xml:space="preserve">Item hora 15. </s>
            <s xml:id="echoid-s28650" xml:space="preserve">ab occaſu ducitur in orientali horologio, vel hora 3. </s>
            <s xml:id="echoid-s28651" xml:space="preserve">à meridie, & </s>
            <s xml:id="echoid-s28652" xml:space="preserve">hora 9. </s>
            <s xml:id="echoid-s28653" xml:space="preserve">ab
              <lb/>
            ortu; </s>
            <s xml:id="echoid-s28654" xml:space="preserve">Item hora 21. </s>
            <s xml:id="echoid-s28655" xml:space="preserve">ab occaſu in horologio occidentali. </s>
            <s xml:id="echoid-s28656" xml:space="preserve">Sedes autem eiuſdem eſt punctum A, vbi
              <lb/>
            coeunt linea æquinoctialis, horizontalis, linea horæ 6. </s>
            <s xml:id="echoid-s28657" xml:space="preserve">à meridie, vel media nocte, & </s>
            <s xml:id="echoid-s28658" xml:space="preserve">horæ 12. </s>
            <s xml:id="echoid-s28659" xml:space="preserve">ab
              <lb/>
            ortu, vel occaíu. </s>
            <s xml:id="echoid-s28660" xml:space="preserve">Quæ omnia ex demonſtratis in libro 2. </s>
            <s xml:id="echoid-s28661" xml:space="preserve">perſpicua ſunt.</s>
            <s xml:id="echoid-s28662" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28663" xml:space="preserve">QVARTO ſit horologium polare C, in quo æquinoctialis linea A B, meridiana B D, hori-
              <lb/>
              <note position="left" xlink:label="note-0452-07" xlink:href="note-0452-07a" xml:space="preserve">Idem proble-
                <lb/>
              ma in horolo-
                <lb/>
              gio polari, quo
                <lb/>
              modo abſolua-
                <lb/>
              @ur.</note>
            zontalis D E, ſtylus B F, eiusq́ue locus in B, vbi ſe interſecant linea meridiana, & </s>
            <s xml:id="echoid-s28664" xml:space="preserve">æquinoctialis. </s>
            <s xml:id="echoid-s28665" xml:space="preserve">Ex
              <lb/>
            puncto A, vbi hora 3. </s>
            <s xml:id="echoid-s28666" xml:space="preserve">à meridie, vel 9 à media nocte, aut 9. </s>
            <s xml:id="echoid-s28667" xml:space="preserve">ab ortu, aut 21. </s>
            <s xml:id="echoid-s28668" xml:space="preserve">ab occaſu, vel deniq;
              <lb/>
            </s>
            <s xml:id="echoid-s28669" xml:space="preserve">3. </s>
            <s xml:id="echoid-s28670" xml:space="preserve">ab ortu, vel 15. </s>
            <s xml:id="echoid-s28671" xml:space="preserve">ab occaſu æquinoctialem lineam diuidit, ad punctum D, in quo mutuo ſe diui-
              <lb/>
            dunt linea meridiana, & </s>
            <s xml:id="echoid-s28672" xml:space="preserve">horizontalis, ducatur recta A D. </s>
            <s xml:id="echoid-s28673" xml:space="preserve">Angulus enim A D B, ęqualis erit alti-
              <lb/>
              <note position="left" xlink:label="note-0452-08" xlink:href="note-0452-08a" xml:space="preserve">50</note>
            tudini poli ſupra Horizontem dati horologii, ſeu inclinationi eiuſdem ad Horizontem. </s>
            <s xml:id="echoid-s28674" xml:space="preserve">Styli ve-
              <lb/>
            rò longitudo perpetuo æqualis eſt ſpatio in linea æquinoctiali inter B, & </s>
            <s xml:id="echoid-s28675" xml:space="preserve">punctum A, per quod di
              <lb/>
            ctæ horæ ducuntur, eiuſq́ue locus in B, vt ex iis, quæ lib. </s>
            <s xml:id="echoid-s28676" xml:space="preserve">2. </s>
            <s xml:id="echoid-s28677" xml:space="preserve">demõſtrauimus, manifeſtum eſt. </s>
            <s xml:id="echoid-s28678" xml:space="preserve">Quod
              <lb/>
              <note position="left" xlink:label="note-0452-09" xlink:href="note-0452-09a" xml:space="preserve">Qua ratione
                <lb/>
              horologium po
                <lb/>
              lare Aſtrono-
                <lb/>
              mieum ſit vni-
                <lb/>
              uerſale.</note>
            ſi horizontalis linea deſcripta non fuerit, contineatq́ue horologium horas duntaxat à meridie, & </s>
            <s xml:id="echoid-s28679" xml:space="preserve">
              <lb/>
            media nocte monſtrabit horologium dictas horas in omni regione, ſi vt in propoſ. </s>
            <s xml:id="echoid-s28680" xml:space="preserve">38. </s>
            <s xml:id="echoid-s28681" xml:space="preserve">libri 2. </s>
            <s xml:id="echoid-s28682" xml:space="preserve">do-
              <lb/>
            cuimus, in proprio ſitu collocetur.</s>
            <s xml:id="echoid-s28683" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28684" xml:space="preserve">QVINTO datum ſit æquinoctiale horologium D, in quo meridiana linea A B; </s>
            <s xml:id="echoid-s28685" xml:space="preserve">horizonta-
              <lb/>
              <note position="left" xlink:label="note-0452-10" xlink:href="note-0452-10a" xml:space="preserve">Explicatio pro-
                <lb/>
              blematis in ho
                <lb/>
              @ologio æqui-
                <lb/>
              @octiali.</note>
            lis A C; </s>
            <s xml:id="echoid-s28686" xml:space="preserve">ſtylus B E, eiuſq́ue locus in B, centro, vbi omnes horæ à meridie, & </s>
            <s xml:id="echoid-s28687" xml:space="preserve">media nocte ſe inter-
              <lb/>
            ſecant. </s>
            <s xml:id="echoid-s28688" xml:space="preserve">Ex B, excitetur ad lineam meridianam perpendicularis B F, ſtylo ęqualis, (quę quidem in
              <lb/>
            horologio Aſtronomico eadem erit, quæ linea horæ 6. </s>
            <s xml:id="echoid-s28689" xml:space="preserve">à meridie, vel media nocte) & </s>
            <s xml:id="echoid-s28690" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum