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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            e
              <unsure/>
            adem parte illud acceptum ſit) constituatur ad rectam A B, in puncto G, angulus altitudinis poll
              <lb/>
            E G C, ſurſum, aut deorſum verſus, prout planum à meridie, vel à borea declinat; </s>
            <s xml:id="echoid-s20780" xml:space="preserve">ſecetq́, recta G C,
              <lb/>
            rectam C D, in C. </s>
            <s xml:id="echoid-s20781" xml:space="preserve">Abſciſſa quoque ex E F, recta E F, ipſi E G, æquali, ducatur ex F, ad A B, perpen-
              <lb/>
            dicularis F H. </s>
            <s xml:id="echoid-s20782" xml:space="preserve">Sed quoniam propter anguſtiam ſpatij inter rectas A B, E F, interiecti (vt euenire ſo-
              <lb/>
              <figure xlink:label="fig-0324-01" xlink:href="fig-0324-01a" number="220">
                <image file="0324-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0324-01"/>
              </figure>
              <note position="left" xlink:label="note-0324-01" xlink:href="note-0324-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0324-02" xlink:href="note-0324-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0324-03" xlink:href="note-0324-03a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0324-04" xlink:href="note-0324-04a" xml:space="preserve">40</note>
            let, cum valde magna eſt declinatio propoſita) non facile abſque errore ex puncto F, ad rectam A B,
              <lb/>
            duci poteſt perpendicularis, instituere poſſumus eandem hanc conſtructionem commodius in hanc formã.
              <lb/>
            </s>
            <s xml:id="echoid-s20783" xml:space="preserve">Sumpto in recta A B, verſus eam partem, in quam ducta eſt recta E F, puncto quolibet H, ducatur ex
              <lb/>
            eo ad A B, perpendicularis H F, ſecans E F, in F. </s>
            <s xml:id="echoid-s20784" xml:space="preserve">Nam ſi ipſi E F, abſcindamus æqualem rectam E G,
              <lb/>
            & </s>
            <s xml:id="echoid-s20785" xml:space="preserve">in G, ad rectam E G, angulum E G C, conſtituamus altitudinis poli, reperiemus punctum C, idem
              <lb/>
            quod prius, ſed certius aliquanto; </s>
            <s xml:id="echoid-s20786" xml:space="preserve">eo quòd facilius ſit ex accepto puncto H, in linea A B, ad eandem du-
              <lb/>
            cere perpendicularem ſine errore, quàm ex puncto F, ipſi rectę A B, viciniſſimo.</s>
            <s xml:id="echoid-s20787" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s20788" xml:space="preserve">DEINDE ducta per C, & </s>
            <s xml:id="echoid-s20789" xml:space="preserve">H, recta C H, ea{q́ue} quantumlibet producta, ducatur ad eam per H,
              <lb/>
            perpendicularis H I, in qua ſi abſcindatur H I, ipſi H F, ęqualis, recta{q́ue} C I, ducatur; </s>
            <s xml:id="echoid-s20790" xml:space="preserve">Item ducta
              <lb/>
            F N, ad E F, perpendiculari ſecante A B, rectam in N, puncto, quod cum C, recta linea C N, iunga-
              <lb/>
              <note position="left" xlink:label="note-0324-05" xlink:href="note-0324-05a" xml:space="preserve">50</note>
            tur; </s>
            <s xml:id="echoid-s20791" xml:space="preserve">erit ex iis, quę prope initium huius propoſ. </s>
            <s xml:id="echoid-s20792" xml:space="preserve">demonſtrauimus, recta C D, linea horę 12. </s>
            <s xml:id="echoid-s20793" xml:space="preserve">in plano datæ
              <lb/>
            declinationis; </s>
            <s xml:id="echoid-s20794" xml:space="preserve">punctum C, centrum horologii declinantis; </s>
            <s xml:id="echoid-s20795" xml:space="preserve">C H, linea indicis, ſeu ſtyli; </s>
            <s xml:id="echoid-s20796" xml:space="preserve">C N, linea horæ
              <lb/>
            6. </s>
            <s xml:id="echoid-s20797" xml:space="preserve">C I, axis mundi; </s>
            <s xml:id="echoid-s20798" xml:space="preserve">& </s>
            <s xml:id="echoid-s20799" xml:space="preserve">H I, linea æquinoctialis. </s>
            <s xml:id="echoid-s20800" xml:space="preserve">Quòd ſi rurſus ducamus ex H, ad C I, perpendicularem
              <lb/>
            H K, erit hæc, ex demonſtratis quoque, communis ſectio Aequatoris, & </s>
            <s xml:id="echoid-s20801" xml:space="preserve">plani, quod per rectam C H,
              <lb/>
            ductum ad planum horologii rectum eſt, inſtar Meridiani cuiuſdam proprii ipſius plani horologii. </s>
            <s xml:id="echoid-s20802" xml:space="preserve">Vnde
              <lb/>
            ſi in linea ſtyli C H, acciperetur recta H L, ipſi H K, ęqualis, & </s>
            <s xml:id="echoid-s20803" xml:space="preserve">ex L, deſcriberetur circulus, conſtrue
              <lb/>
            retur horologium declinans, cuius omnes lineę horarię in C, coirent, proinde vt in priori deſcriptione
              <lb/>
            huius propoſ. </s>
            <s xml:id="echoid-s20804" xml:space="preserve">factum est. </s>
            <s xml:id="echoid-s20805" xml:space="preserve">Sed quia hoc modo conſtructi horologii ſtylus K M, ex K, in rectam C H, ca-
              <lb/>
            dens ad angulos rectos in punctum M, nimis breuis eſt, præſertim quando recta E F, parum à recta A B,
              <lb/>
            diſtat, (diſtabit autem eò min{us}, quò maior fuerit declinatio plani à Verticali, vt dictum eſt) idcirco
              <lb/>
            progrediendum nobis eſt, atque docendum, qua ratione maius horologium deſcribere poſſimus, quod </s>
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