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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          <p>
            <s xml:id="echoid-s27668" xml:space="preserve">
              <pb o="422" file="0438" n="438" rhead="GNOMONICES"/>
            communisq́ue ſectio ſit Horizontis, atque plani horologii. </s>
            <s xml:id="echoid-s27669" xml:space="preserve">Et quoniam tam planum horologii@
              <lb/>
            quàm planum Horizontis, per propoſ. </s>
            <s xml:id="echoid-s27670" xml:space="preserve">15. </s>
            <s xml:id="echoid-s27671" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27672" xml:space="preserve">1. </s>
            <s xml:id="echoid-s27673" xml:space="preserve">Theod. </s>
            <s xml:id="echoid-s27674" xml:space="preserve">ad Aequatorem rectum eſt, quòd
              <lb/>
            vtrumque per polos Aequatoris, ſeu mundi ducatur, nimirum per communes ſectiones Meridia
              <lb/>
              <figure xlink:label="fig-0438-01" xlink:href="fig-0438-01a" number="290">
                <image file="0438-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0438-01"/>
              </figure>
              <note position="left" xlink:label="note-0438-01" xlink:href="note-0438-01a" xml:space="preserve">19. vndec.</note>
            ni atque Hori-
              <lb/>
            zontis, erit quo
              <lb/>
            que communis
              <lb/>
            illorum ſectio
              <lb/>
            A B, ad eundem
              <lb/>
            perpẽdicularis,
              <lb/>
            atque adeo per
              <lb/>
              <note position="left" xlink:label="note-0438-02" xlink:href="note-0438-02a" xml:space="preserve">10</note>
            defin. </s>
            <s xml:id="echoid-s27675" xml:space="preserve">3. </s>
            <s xml:id="echoid-s27676" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27677" xml:space="preserve">11.
              <lb/>
            </s>
            <s xml:id="echoid-s27678" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s27679" xml:space="preserve">& </s>
            <s xml:id="echoid-s27680" xml:space="preserve">ad re-
              <lb/>
            ctam in Aequa-
              <lb/>
            tore exiſtentem,
              <lb/>
            quæ communis
              <lb/>
            ſectio ſit Aequa
              <lb/>
            toris, & </s>
            <s xml:id="echoid-s27681" xml:space="preserve">plani ho
              <lb/>
            rologii. </s>
            <s xml:id="echoid-s27682" xml:space="preserve">Cũ ergo
              <lb/>
            angulus B A D,
              <lb/>
            rectus ſit, erit
              <lb/>
              <note position="left" xlink:label="note-0438-03" xlink:href="note-0438-03a" xml:space="preserve">20</note>
            C D, communis
              <lb/>
            ſectio Aequato-
              <lb/>
            ris, & </s>
            <s xml:id="echoid-s27683" xml:space="preserve">plani ho-
              <lb/>
            rologij. </s>
            <s xml:id="echoid-s27684" xml:space="preserve">Itaquo
              <lb/>
            ſi planum, in quo circulus ex E, deſcriptus, & </s>
            <s xml:id="echoid-s27685" xml:space="preserve">triangulum A D E, exiſtit, circumuertatur circa
              <lb/>
            rectam A D, donec rectum ſit ad planum horologii, & </s>
            <s xml:id="echoid-s27686" xml:space="preserve">centrum E, cum centro mundi con-
              <lb/>
            iungatur, erit circulus ipſe in plano Aequatoris circa idem centrum E, quòd & </s>
            <s xml:id="echoid-s27687" xml:space="preserve">Aequator per
              <lb/>
            centrum mundi E, & </s>
            <s xml:id="echoid-s27688" xml:space="preserve">rectam C D, ductus ad planum horologii ſit rectus. </s>
            <s xml:id="echoid-s27689" xml:space="preserve">Quare recta E A,
              <lb/>
            in plano Aequatoris, ſiue Verticalis circuli ſphæræ rectæ exiſtens, ſaciensq́ue angulum declinatio-
              <lb/>
            nis ab Horizonte E A D, communis ſectio erit Horizontis, ſeu circuli horæ 6. </s>
            <s xml:id="echoid-s27690" xml:space="preserve">à meridie, vel me-
              <lb/>
              <note position="left" xlink:label="note-0438-04" xlink:href="note-0438-04a" xml:space="preserve">30</note>
            dia nocte, & </s>
            <s xml:id="echoid-s27691" xml:space="preserve">Aequatoris, ſiue circuli Verticalis; </s>
            <s xml:id="echoid-s27692" xml:space="preserve">atque idcirco E D, communis ſectio Meridiani,
              <lb/>
            & </s>
            <s xml:id="echoid-s27693" xml:space="preserve">eiuſdem Aequatoris. </s>
            <s xml:id="echoid-s27694" xml:space="preserve">Cum enim tam Meridianus, quàm Aequator in ſphæra recta ad Hori-
              <lb/>
            zontem rectus ſit, erit quoque eorum ſectio communis ad eundem perpendicularis, atque adeò
              <lb/>
              <note position="left" xlink:label="note-0438-05" xlink:href="note-0438-05a" xml:space="preserve">19. vndec.</note>
            & </s>
            <s xml:id="echoid-s27695" xml:space="preserve">ad rectam A E, in Horizonte exiſtentem, in centro mundi E, perpendicularis erit; </s>
            <s xml:id="echoid-s27696" xml:space="preserve">ac propte-
              <lb/>
            rea E D, ad A E, perpendicularis in E, centro mundi communis ſectio erit Meridiani, & </s>
            <s xml:id="echoid-s27697" xml:space="preserve">Aequa-
              <lb/>
            toris. </s>
            <s xml:id="echoid-s27698" xml:space="preserve">Vnde ſequitur, reliquas occultas ex E, emiſſas communes ſectiones eſſe Aequaroris, & </s>
            <s xml:id="echoid-s27699" xml:space="preserve">
              <lb/>
            aliorum circulorum horariorum. </s>
            <s xml:id="echoid-s27700" xml:space="preserve">Quocirca cum lineæ horariæ in hoc plano ſint parallelæ ipſi
              <lb/>
            meridianæ lineæ, ex propoſ. </s>
            <s xml:id="echoid-s27701" xml:space="preserve">18. </s>
            <s xml:id="echoid-s27702" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27703" xml:space="preserve">1. </s>
            <s xml:id="echoid-s27704" xml:space="preserve">eruntrectæ illæ perpendiculares ductæ ad C D, per puncta,
              <lb/>
            in quæ cadunt lineæ illæ occultæ, communes ſectiones horariorum circulorum, & </s>
            <s xml:id="echoid-s27705" xml:space="preserve">plani horolo-
              <lb/>
            gii. </s>
            <s xml:id="echoid-s27706" xml:space="preserve">Stylus autem erit perpendicularis E F, ex E, ad rectam C D, demiſſa, eiuſq́ue locus in F.</s>
            <s xml:id="echoid-s27707" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Eiuſdẽ
            <unsure/>
          horolo-
            <lb/>
          gii deſcriptio, ſi
            <lb/>
          longitudo ſtyli
            <lb/>
          eiuſque locus
            <lb/>
          detur in plano
            <lb/>
          declinante ab
            <lb/>
          Horizonte.</note>
          <p>
            <s xml:id="echoid-s27708" xml:space="preserve">QVOD ſi detur longitudo ſtyli E F, eiuſq́ue locus in puncto F, in plano declinante ab Hori-
              <lb/>
              <note position="left" xlink:label="note-0438-07" xlink:href="note-0438-07a" xml:space="preserve">40</note>
            zonte, deſcribemus horologium hac ratione. </s>
            <s xml:id="echoid-s27709" xml:space="preserve">Per F, locum ſtyli ducemus rectam F E, Horizon-
              <lb/>
            ti æquidiſtantem, & </s>
            <s xml:id="echoid-s27710" xml:space="preserve">ſtylo æqualem, quam in F, loco ſtyli ad angulos rectos ſecabimus linea C D.
              <lb/>
            </s>
            <s xml:id="echoid-s27711" xml:space="preserve">Deinde in E, verſus partes ſuperiores plani conſtituemus F E A, angulum complementi declina-
              <lb/>
            tionis plani ab Horizonte, ita vt recta E A, ſecet rectam C D, in A. </s>
            <s xml:id="echoid-s27712" xml:space="preserve">Item in E, eſticiemus F E D,
              <lb/>
            verſus partes inſeriores plani angulum declinationis ab Horizonte, ita vt recta E D, rectam C D,
              <lb/>
            ſecet in D. </s>
            <s xml:id="echoid-s27713" xml:space="preserve">Reliqua autem abſoluemus, vt prius. </s>
            <s xml:id="echoid-s27714" xml:space="preserve">Nam hac ratione erit E A F, angulus declinatio-
              <lb/>
              <note position="left" xlink:label="note-0438-08" xlink:href="note-0438-08a" xml:space="preserve">Horæ ab or. &
                <lb/>
              occ. Itẽ inæqua
                <lb/>
              les in eodẽ ho-
                <lb/>
              rologio.</note>
            nis plani ab Horizonte, &</s>
            <s xml:id="echoid-s27715" xml:space="preserve">c.</s>
            <s xml:id="echoid-s27716" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27717" xml:space="preserve">HORAE ab ortu, vel occaſu, & </s>
            <s xml:id="echoid-s27718" xml:space="preserve">inæquales ſe ſe habent hoc loco, vt in horizontali horologio
              <lb/>
            ſphæræ rectæ, quemadmodum ante tradidimus.</s>
            <s xml:id="echoid-s27719" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Arcus ſignotũ,
            <lb/>
          arcus diurni, &
            <lb/>
          circuli latitudi
            <lb/>
          num ciuitatum
            <lb/>
          in horologio
            <lb/>
          eodem declinã
            <lb/>
          te ab Horizõte.</note>
          <p>
            <s xml:id="echoid-s27720" xml:space="preserve">PARALLELI, arcusve ſignorum Zodiaci, arcus diurni, & </s>
            <s xml:id="echoid-s27721" xml:space="preserve">paralleli ciuitatum deſcribun-
              <lb/>
              <note position="left" xlink:label="note-0438-10" xlink:href="note-0438-10a" xml:space="preserve">50</note>
            tur hic, vt in horologio Meridiano, & </s>
            <s xml:id="echoid-s27722" xml:space="preserve">polari ſphæræ obliquæ. </s>
            <s xml:id="echoid-s27723" xml:space="preserve">Transferenda enim ſunt inter-
              <lb/>
            ualla horaria inter centrum E, & </s>
            <s xml:id="echoid-s27724" xml:space="preserve">æquinoctialem lineam C D, in radium Aequatoris, &</s>
            <s xml:id="echoid-s27725" xml:space="preserve">c. </s>
            <s xml:id="echoid-s27726" xml:space="preserve">vt in
              <lb/>
            ſequenti ſigura apparet.</s>
            <s xml:id="echoid-s27727" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27728" xml:space="preserve">VERTICALES circuli, & </s>
            <s xml:id="echoid-s27729" xml:space="preserve">paralleli Horizontis collocabuntur etiam in hoc horologio,
              <lb/>
              <note position="left" xlink:label="note-0438-11" xlink:href="note-0438-11a" xml:space="preserve">Circuli Verti-
                <lb/>
              cales, & paralle
                <lb/>
              li Horizõtis in
                <lb/>
              eodem horolo
                <lb/>
              gio.</note>
            veluti in horologio declinante ab Horizonte ſphæræ obliquæ.</s>
            <s xml:id="echoid-s27730" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27731" xml:space="preserve">MERIDIANI quoque ducentur, vt lineæ horariæ, ſi in circulo ex E, deſcrip@o numeretur
              <lb/>
            à puncto G, meridiei verſus occidentales partes longitudo loci, vt Meridianus Inſularum Fortu-
              <lb/>
              <note position="left" xlink:label="note-0438-12" xlink:href="note-0438-12a" xml:space="preserve">Circuli Meri-
                <lb/>
              diani in eodem
                <lb/>
              horologio.</note>
            natarum habeatur.</s>
            <s xml:id="echoid-s27732" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27733" xml:space="preserve">LINEÆ cœleſtium domorum eædem ſunt, vt in præcedentibus diximus, quæ horarum à
              <lb/>
              <note position="left" xlink:label="note-0438-13" xlink:href="note-0438-13a" xml:space="preserve">Domus cœle-
                <lb/>
              ſtes in eodem
                <lb/>
              horologio.</note>
            meridie, & </s>
            <s xml:id="echoid-s27734" xml:space="preserve">media nocte.</s>
            <s xml:id="echoid-s27735" xml:space="preserve"/>
          </p>
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