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-s27524" xml:space="preserve">
              <pb o="419" file="0435" n="435" rhead="LIBER QVARTVS."/>
            rectam C H, in H, angulus declinationis CHD, verſus quidem punctum B, ſi planum à meri-
              <lb/>
              <note position="right" xlink:label="note-0435-01" xlink:href="note-0435-01a" xml:space="preserve">Horologiũ A-
                <lb/>
              ſtronomicum
                <lb/>
              declinãs à Ver
                <lb/>
              ticali in ſphæra
                <lb/>
              recta, quo pacto
                <lb/>
              deſcribatur.</note>
            die in occaſum, vel à ſeptentrione in ortum declinet; </s>
            <s xml:id="echoid-s27525" xml:space="preserve">verſus autem punctum A, ſi à meridie in
              <lb/>
            ortum, vel à borea in occaſum deflectat. </s>
            <s xml:id="echoid-s27526" xml:space="preserve">In noſtro exemplo ponimus planum declinare grad. </s>
            <s xml:id="echoid-s27527" xml:space="preserve">60.
              <lb/>
            </s>
            <s xml:id="echoid-s27528" xml:space="preserve">
              <figure xlink:label="fig-0435-01" xlink:href="fig-0435-01a" number="288">
                <image file="0435-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0435-01"/>
              </figure>
              <note position="left" xlink:label="note-0435-02" xlink:href="note-0435-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0435-03" xlink:href="note-0435-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0435-04" xlink:href="note-0435-04a" xml:space="preserve">30</note>
            à meridie in occaſum. </s>
            <s xml:id="echoid-s27529" xml:space="preserve">Sumpto autem puncto D, vt libet, in recta H D, ducaur ad H D, perpen-
              <lb/>
            dicularis D I, ſecans A B, in I, & </s>
            <s xml:id="echoid-s27530" xml:space="preserve">per I, ducatur ad A B, perpendicularis I F. </s>
            <s xml:id="echoid-s27531" xml:space="preserve">Deinde abſciſſa recta
              <lb/>
            I E, ipſi D I, æquali, deſcribantur ex E, circulus vt libet, quo diuiſo in 24. </s>
            <s xml:id="echoid-s27532" xml:space="preserve">partes æquales, initio
              <lb/>
            facto à recta A B, emittantur ex E, per diuiſionum puncta rectæ occultæ ſecantes rectam I F, in
              <lb/>
            punctis, per quæ ſi ex H, rectæ educantur, habebuntur lineę horariæ, quarum ordo hic eſt. </s>
            <s xml:id="echoid-s27533" xml:space="preserve">Re-
              <lb/>
            cta C H, dat horam 12. </s>
            <s xml:id="echoid-s27534" xml:space="preserve">ſeu lineam meridianam, quæ verò ei ſunt ad ſiniſtram, indicant horas à
              <lb/>
            media nocte in horologijs à meridie declinantibus, quæ verò ad dextram ſunt collocatæ, ad ho-
              <lb/>
            ras à meridie pertinent. </s>
            <s xml:id="echoid-s27535" xml:space="preserve">Contrarium intelligatur in horologijs, quæ à ſeptentrione deflectunt.</s>
            <s xml:id="echoid-s27536" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s27537" xml:space="preserve">DEMONSTRATIO huius deſcriptionis perfacilis eſt. </s>
            <s xml:id="echoid-s27538" xml:space="preserve">Si enim (poſito horologio in
              <lb/>
              <note position="right" xlink:label="note-0435-06" xlink:href="note-0435-06a" xml:space="preserve">Demonſtratio
                <lb/>
              an@ecedẽtis de-
                <lb/>
              ſcriptionis.</note>
            proprio ſitu, vt recta A B, Horizonti ęquidiſtet, ſitq̀ue communis ſectio plani horologii, & </s>
            <s xml:id="echoid-s27539" xml:space="preserve">Ho-
              <lb/>
            rizontis, ſiue circuli horæ 6. </s>
            <s xml:id="echoid-s27540" xml:space="preserve">à meridie, vel media nocte) intelligatur triangulum H D I, moueri
              <lb/>
            circa rectam H I, donec ad planum horologij rectum ſit, & </s>
            <s xml:id="echoid-s27541" xml:space="preserve">cum Horizonte coniungatur, ſeu
              <lb/>
            circulo horæ ſextæ a meridie, vel media nocte, cum C H D, ſit angulus declinationis à Ver-
              <lb/>
            ticali, erit D H I, angulus declinationis à Meridiano circulo, ac proinde H D, communis erit
              <lb/>
            ſectio Meridiani, & </s>
            <s xml:id="echoid-s27542" xml:space="preserve">Horizontis, hoc eſt, axis mundi. </s>
            <s xml:id="echoid-s27543" xml:space="preserve">Quare D I, ad axem perpendicularis
              <lb/>
            communis ſectio erit Æquatoris, & </s>
            <s xml:id="echoid-s27544" xml:space="preserve">eiuſdem Horizontis: </s>
            <s xml:id="echoid-s27545" xml:space="preserve">ac propterea cum Meridianus pla-
              <lb/>
            no horologii occurrat in H, & </s>
            <s xml:id="echoid-s27546" xml:space="preserve">Æquator in I, ducenda erit linea meridiana per H, & </s>
            <s xml:id="echoid-s27547" xml:space="preserve">æquino-
              <lb/>
            ctialis per I. </s>
            <s xml:id="echoid-s27548" xml:space="preserve">Quoniam verò tam planum borologii, quàm Meridiani ad Horizontem eſt re-
              <lb/>
              <note position="left" xlink:label="note-0435-07" xlink:href="note-0435-07a" xml:space="preserve">50</note>
            ctum, erit eorum communis ſectio ad eundem recta, ac proinde per defin. </s>
            <s xml:id="echoid-s27549" xml:space="preserve">3. </s>
            <s xml:id="echoid-s27550" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27551" xml:space="preserve">11. </s>
            <s xml:id="echoid-s27552" xml:space="preserve">Eucl.
              <lb/>
            </s>
            <s xml:id="echoid-s27553" xml:space="preserve">
              <note position="right" xlink:label="note-0435-08" xlink:href="note-0435-08a" xml:space="preserve">19. vndec.</note>
            ad rectam A B, in Horizonte exiſtentem perpendicularis. </s>
            <s xml:id="echoid-s27554" xml:space="preserve">Quamobrem C H, ad A B, per-
              <lb/>
            pendicularis communis erit ſectio Meridiani, & </s>
            <s xml:id="echoid-s27555" xml:space="preserve">plani horologii. </s>
            <s xml:id="echoid-s27556" xml:space="preserve">Eadem ratione oſtende-
              <lb/>
            mus I F, eſſe communem ſectionem Æquatoris, & </s>
            <s xml:id="echoid-s27557" xml:space="preserve">plani horologii; </s>
            <s xml:id="echoid-s27558" xml:space="preserve">propterea quòd etiam tam
              <lb/>
            planum horologii, quàm Æquatoris rectum eſt ad Horizontem. </s>
            <s xml:id="echoid-s27559" xml:space="preserve">Exiſtente autem triangulo eo-
              <lb/>
            dem H D I, ad planũ horologii recto, ſi circulus ex E, deſcriptus moueri concipiatur circa æqui-
              <lb/>
            noctialem lineam I F, donec eius centrum E, cum D, centro mundi coniungatur, propter æqua-
              <lb/>
            litatem rectarum I D, I E, atque adeo in plano Æquatoris per rectas I D, I F, ducto exiſtat, oſten-
              <lb/>
            demus, vt in horologio horizontali propoſ. </s>
            <s xml:id="echoid-s27560" xml:space="preserve">1. </s>
            <s xml:id="echoid-s27561" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27562" xml:space="preserve">2. </s>
            <s xml:id="echoid-s27563" xml:space="preserve">recte eſſe deſcriptas horas à meridie, & </s>
            <s xml:id="echoid-s27564" xml:space="preserve">me-
              <lb/>
            dia nocte. </s>
            <s xml:id="echoid-s27565" xml:space="preserve">Eſt enim Horizon rectus, ſeu circulus horæ 6. </s>
            <s xml:id="echoid-s27566" xml:space="preserve">à meridie, vel media nocte, veluti Me-
              <lb/>
            ridianus reſpectu plani horologii declinantis, & </s>
            <s xml:id="echoid-s27567" xml:space="preserve">ipſe Meridianus inſtar circuli horæ 6. </s>
            <s xml:id="echoid-s27568" xml:space="preserve">à </s>
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