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

< >
[Figure 341]
Page: 554
[Figure 342]
Page: 555
[Figure 343]
Page: 557
[Figure 344]
Page: 558
[Figure 345]
Page: 559
[Figure 346]
Page: 561
[Figure 347]
Page: 562
[Figure 348]
Page: 564
[Figure 349]
Page: 564
[Figure 350]
Page: 565
[Figure 351]
Page: 566
[Figure 352]
Page: 568
[Figure 353]
Page: 568
[Figure 354]
Page: 569
[Figure 355]
Page: 570
[Figure 356]
Page: 571
[Figure 357]
Page: 572
[Figure 358]
Page: 574
[Figure 359]
Page: 579
[Figure 360]
Page: 580
[Figure 361]
Page: 584
[Figure 362]
Page: 586
[Figure 363]
Page: 589
[Figure 364]
Page: 591
[Figure 365]
Page: 592
[Figure 366]
Page: 593
[Figure 367]
Page: 595
[Figure 368]
Page: 596
[Figure 369]
Page: 597
[Figure 370]
Page: 600
< >
page |< < (552) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div1772" type="section" level="1" n="476">
          <pb o="552" file="0568" n="568" rhead="GNOMONICES"/>
          <p>
            <s xml:id="echoid-s35688" xml:space="preserve">HECTEMORIA igitur circunferentia A G, inuenietur, vt prius, vt conſtat ex
              <lb/>
              <note position="left" xlink:label="note-0568-01" xlink:href="note-0568-01a" xml:space="preserve">Hect
                <unsure/>
              emoria.
                <unsure/>
              </note>
              <figure xlink:label="fig-0568-01" xlink:href="fig-0568-01a" number="352">
                <image file="0568-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0568-01"/>
              </figure>
            triangulo A G P, quod idem hic eſt, quod ſu-
              <lb/>
            pra, & </s>
            <s xml:id="echoid-s35689" xml:space="preserve">c.</s>
            <s xml:id="echoid-s35690" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35691" xml:space="preserve">MERIDIANA autem circunferentia tunc
              <lb/>
              <note position="left" xlink:label="note-0568-02" xlink:href="note-0568-02a" xml:space="preserve">Mendian@.</note>
            eſt quadrans circuli B I, vel D I.</s>
            <s xml:id="echoid-s35692" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35693" xml:space="preserve">DESCENSIVA vero circunferentia eſt
              <lb/>
              <note position="left" xlink:label="note-0568-03" xlink:href="note-0568-03a" xml:space="preserve">Deſcenſiua.</note>
            E G, complementum circunferentiæ hectemoriæ.
              <lb/>
            </s>
            <s xml:id="echoid-s35694" xml:space="preserve">Itaque vt inueniatur circunferentia deſcenſiua, in-
              <lb/>
            uenienda eſt prius hectemoria, vt patet.</s>
            <s xml:id="echoid-s35695" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35696" xml:space="preserve">HORIZONTALIS porrò circunferen-
              <lb/>
              <note position="left" xlink:label="note-0568-04" xlink:href="note-0568-04a" xml:space="preserve">Horizontalis.</note>
              <note position="left" xlink:label="note-0568-05" xlink:href="note-0568-05a" xml:space="preserve">10</note>
            tia nihil tunc eſt, cum Verticalis per Solem du-
              <lb/>
            ctus à Verticali primario non differat.</s>
            <s xml:id="echoid-s35697" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35698" xml:space="preserve">HORARIA deinde circunferentia eſt tunc
              <lb/>
              <note position="left" xlink:label="note-0568-06" xlink:href="note-0568-06a" xml:space="preserve">Hotari@.</note>
            etiam quadrans circuli B G, vel D G.</s>
            <s xml:id="echoid-s35699" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35700" xml:space="preserve">VERTICALIS denique circunferentia
              <lb/>
              <note position="left" xlink:label="note-0568-07" xlink:href="note-0568-07a" xml:space="preserve">Verticalis.</note>
            tunc eadem eſt, quæ deſcenſiua, ſiue complemen-
              <lb/>
              <note position="left" xlink:label="note-0568-08" xlink:href="note-0568-08a" xml:space="preserve">Inuentio eatun
                <lb/>
              dem circunte-
                <lb/>
              rentiatum, Sole
                <lb/>
              exiſtente citra
                <lb/>
              Verticalem, dũ-
                <lb/>
              modo minus,
                <lb/>
              aut plus abſit à
                <lb/>
              meridie, quàm
                <lb/>
              ſex horis.</note>
            tum hectemoriæ.</s>
            <s xml:id="echoid-s35701" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35702" xml:space="preserve">SED ponatur iam Sol citra Verticalem verſus boream in puncto G, dummodo minus, aut
              <lb/>
            plus à meridie abſit, quàm ſex horis. </s>
            <s xml:id="echoid-s35703" xml:space="preserve">Quo poſito, cadet Hectemorion in quadrantem Meridia-
              <lb/>
            ni borealem D E.</s>
            <s xml:id="echoid-s35704" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s35705" xml:space="preserve">HECTEMORIA igitur circunferentia A G, inuenietur, vt prius, quando Sol ponebatur
              <lb/>
            vltra Verticalem verſus auſtrum; </s>
            <s xml:id="echoid-s35706" xml:space="preserve">vt ex triangulo A G P, manifeſtum eſt, quod idem hic eſt,
              <lb/>
              <note position="left" xlink:label="note-0568-10" xlink:href="note-0568-10a" xml:space="preserve">Hectemoria.</note>
            quod ſupra, & </s>
            <s xml:id="echoid-s35707" xml:space="preserve">c.</s>
            <s xml:id="echoid-s35708" xml:space="preserve"/>
          </p>
          <figure number="353">
            <image file="0568-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0568-02"/>
          </figure>
          <p>
            <s xml:id="echoid-s35709" xml:space="preserve">QVONIAM ve-
              <lb/>
            ro in triangulo O G I,
              <lb/>
            angulus I, rectus eſt,
              <lb/>
            erit per propoſ. </s>
            <s xml:id="echoid-s35710" xml:space="preserve">19. </s>
            <s xml:id="echoid-s35711" xml:space="preserve">lib.
              <lb/>
            </s>
            <s xml:id="echoid-s35712" xml:space="preserve">4. </s>
            <s xml:id="echoid-s35713" xml:space="preserve">Ioan. </s>
            <s xml:id="echoid-s35714" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s35715" xml:space="preserve">de
              <lb/>
            triang. </s>
            <s xml:id="echoid-s35716" xml:space="preserve">vel per propoſ. </s>
            <s xml:id="echoid-s35717" xml:space="preserve">
              <lb/>
            15. </s>
            <s xml:id="echoid-s35718" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s35719" xml:space="preserve">1. </s>
            <s xml:id="echoid-s35720" xml:space="preserve">Gebri, vel per
              <lb/>
              <note position="left" xlink:label="note-0568-11" xlink:href="note-0568-11a" xml:space="preserve">30</note>
            propoſ. </s>
            <s xml:id="echoid-s35721" xml:space="preserve">43. </s>
            <s xml:id="echoid-s35722" xml:space="preserve">noſtrorum
              <lb/>
            triang. </s>
            <s xml:id="echoid-s35723" xml:space="preserve">ſphær. </s>
            <s xml:id="echoid-s35724" xml:space="preserve">vt ſinus
              <lb/>
            cõplementi arcus O G,
              <lb/>
            hoc eſt, vt ſinus arcus
              <lb/>
            declinationis G P, ad
              <lb/>
            ſinum complemẽti ar-
              <lb/>
            cus I G, hoc eſt, ad ſinũ
              <lb/>
            circunferentiæ hecte-
              <lb/>
            moriæ A G, ita ſinus
              <lb/>
            complementi arcus O I, ad ſinum totum: </s>
            <s xml:id="echoid-s35725" xml:space="preserve">Et conuertendo, vt ſinus circunferentiæ hectemoriæ
              <lb/>
              <note position="left" xlink:label="note-0568-12" xlink:href="note-0568-12a" xml:space="preserve">40</note>
            ad ſinum declinationis, ita ſinus totus ad ſinum complementi arcus O I. </s>
            <s xml:id="echoid-s35726" xml:space="preserve">Quamobrem, ſi fiat, vt
              <lb/>
            ſinus circunferentiæ hectemoriæ ad ſinum declinationis, ita ſinus totus ad aliud, reperietur ſinus
              <lb/>
              <note position="left" xlink:label="note-0568-13" xlink:href="note-0568-13a" xml:space="preserve">Meridiana.</note>
            complementi arcus O I; </s>
            <s xml:id="echoid-s35727" xml:space="preserve">atqueadeo complementum hoc, vna cum arcu O I, notum erit. </s>
            <s xml:id="echoid-s35728" xml:space="preserve">Ex quo
              <lb/>
            arcu O I, qui inter polum, & </s>
            <s xml:id="echoid-s35729" xml:space="preserve">Hectemorion interijcitur, ita meridianã circunferentiam D I, com-
              <lb/>
            periemus. </s>
            <s xml:id="echoid-s35730" xml:space="preserve">Quando diſtantia Solis à meridie minor eſt, quàm 6. </s>
            <s xml:id="echoid-s35731" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s35732" xml:space="preserve">vt in priori figura, adden-
              <lb/>
            dus eſt arcus O I, inuentus altitudini poli O D, vt habeatur circunferentia meridiana D I. </s>
            <s xml:id="echoid-s35733" xml:space="preserve">Quia
              <lb/>
            enim diſtantia Solis à meridie minor eſt ſex horis, cadet circulus declinationis O G P, diſtantiam
              <lb/>
            Solis à meridie metiens in quadrantem Aequatoris A F, ſupra Horizontem, cum punctum A, ſex
              <lb/>
            horis abſit à meridie; </s>
            <s xml:id="echoid-s35734" xml:space="preserve">ac proinde Hectemorion ſecans dictum circulum in G, cadet in portionem
              <lb/>
            Meridiani O E, inter polum, & </s>
            <s xml:id="echoid-s35735" xml:space="preserve">Verticalem. </s>
            <s xml:id="echoid-s35736" xml:space="preserve">Quando vero diſtantia Solis à meridie maior eſt,
              <lb/>
              <note position="left" xlink:label="note-0568-14" xlink:href="note-0568-14a" xml:space="preserve">50</note>
            quàm 6 hor. </s>
            <s xml:id="echoid-s35737" xml:space="preserve">vt in poſteriori figura, auferendus eſt arcus O I, inuentus ex altitudine poli O D, vt
              <lb/>
            habeatur meridiana circunferentia D I. </s>
            <s xml:id="echoid-s35738" xml:space="preserve">Quia enim diſtantia Solis à meridie maior eſt ſex ho-
              <lb/>
            ris, ſecabit circulus declinationis OGP, diſtantiam Solis à meridie metiens Aequatorem infra Ho
              <lb/>
            rizontem vltra punctum A; </s>
            <s xml:id="echoid-s35739" xml:space="preserve">proptereaq́ue Hectemorion dictum circulum ſecans in G, ſupra Ho
              <lb/>
            rizontem cadet in arcum Meridiani O D, inter polum & </s>
            <s xml:id="echoid-s35740" xml:space="preserve">Horizontem.</s>
            <s xml:id="echoid-s35741" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35742" xml:space="preserve">DESCENSIVA denique circunferentia E G, ex triangulo E G I; </s>
            <s xml:id="echoid-s35743" xml:space="preserve">& </s>
            <s xml:id="echoid-s35744" xml:space="preserve">Horizontalis A H, ex
              <lb/>
              <note position="left" xlink:label="note-0568-15" xlink:href="note-0568-15a" xml:space="preserve">Deſcenſiua
                <unsure/>
              .
                <lb/>
              Horizontalis.
                <lb/>
              Horatia.
                <lb/>
              Verticalis.</note>
            triangulo E G O; </s>
            <s xml:id="echoid-s35745" xml:space="preserve">& </s>
            <s xml:id="echoid-s35746" xml:space="preserve">Horaria D G, ex triangulo A G K, vel D G H; </s>
            <s xml:id="echoid-s35747" xml:space="preserve">& </s>
            <s xml:id="echoid-s35748" xml:space="preserve">Verticalis E K, ex triangu-
              <lb/>
            lo D G I, vel G E K, elicietur, vt ante demonſtratum eſt, quando Sol vltra Verticalem circulum
              <lb/>
            exiſtebat. </s>
            <s xml:id="echoid-s35749" xml:space="preserve">Solum in demonſtrationibus pro litera B, ad auſtrales partes aſſumenda eſt litera D,
              <lb/>
            ad partes boreales.</s>
            <s xml:id="echoid-s35750" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s35751" xml:space="preserve">AD extremum collocetur Sol in circulo horæ 6. </s>
            <s xml:id="echoid-s35752" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s35753" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s35754" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s35755" xml:space="preserve">in puncto G, ita vt </s>
          </p>
        </div>
      </text>
    </echo>
Impressum