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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[265] 1. figura
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[266] 2. figura.
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[267] 3. figura.
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[268] 4. figura
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[269] 5. figura
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[270] 6. figura
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          <p style="it">
            <s xml:id="echoid-s25809" xml:space="preserve">
              <pb o="391" file="0407" n="407" rhead="LIBER TERTIVS."/>
            lineam perpendicularis, ut in tertia figura. </s>
            <s xml:id="echoid-s25810" xml:space="preserve">Item ubi æquinoctialis linea meridianę lineæ æquidiſtat, erit
              <lb/>
            linea ſtyli ρ K, non ſolum ad æquinoctialem lineam, ſed etiã ad lineam meridianã perpendicularis. </s>
            <s xml:id="echoid-s25811" xml:space="preserve">Itaq;
              <lb/>
            </s>
            <s xml:id="echoid-s25812" xml:space="preserve">
              <note position="right" xlink:label="note-0407-01" xlink:href="note-0407-01a" xml:space="preserve">26. primi.</note>
            ſi primo loco linea æquinoctialis per inuenta puncta α, M, ducatur, ducenda erit linea ſtyli ad ipſam per-
              <lb/>
              <figure xlink:label="fig-0407-01" xlink:href="fig-0407-01a" number="266">
                <image file="0407-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0407-01"/>
                <caption xml:id="echoid-caption2" xml:space="preserve">2. figura.</caption>
              </figure>
              <figure xlink:label="fig-0407-02" xlink:href="fig-0407-02a" number="267">
                <image file="0407-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0407-02"/>
                <caption xml:id="echoid-caption3" xml:space="preserve">3. figura.</caption>
              </figure>
              <note position="left" xlink:label="note-0407-02" xlink:href="note-0407-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0407-03" xlink:href="note-0407-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0407-04" xlink:href="note-0407-04a" xml:space="preserve">30</note>
            pendicularis per locum ſtyli K, ex centro ρ, vel vbi centrum nõ adeſt, per K, locum ſtyli dunt axat: </s>
            <s xml:id="echoid-s25813" xml:space="preserve">Si uero primo loco ducatur linea ſtyli ex ρ, centro per K, uel vbi centrum non eſt, per K, æquidistans lineæ meri- dianæ, ducenda erit linea æquinoctialis ad ipſam ex α, perpendicularis.</s>
            <s xml:id="echoid-s25814" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25815" xml:space="preserve">POST hæc ex K, loco ſtyli excitetur ad lineã ſtyli linea perpendicularis K I, ſtylo æqualis, & </s>
            <s xml:id="echoid-s25816" xml:space="preserve">ex
              <lb/>
              <note position="right" xlink:label="note-0407-05" xlink:href="note-0407-05a" xml:space="preserve">Ax
                <unsure/>
              is m
                <unsure/>
              undi.</note>
            cẽtro ρ, per I, recta emittatur ρ I, pro axe mũdi. </s>
            <s xml:id="echoid-s25817" xml:space="preserve">At ubi centrũ nõ eſt, ducẽdus erit axis per I, æquidiſtãs
              <lb/>
            lineæ ſtyli, uel lineæ meridianę. </s>
            <s xml:id="echoid-s25818" xml:space="preserve">Quod ſi ex I, ad axem perpendicularis educatur, ſecabit ea lineam ſtyli
              <lb/>
            in puncto G, per quod æquinoctialis linea ducitur, niſi error commiſſus ſit. </s>
            <s xml:id="echoid-s25819" xml:space="preserve">Vnde ubi horologium centro
              <lb/>
            caret, atque adeo axis lineæ styli æquidiſtat, cadet dicta perpendicularis in K, locum styli, & </s>
            <s xml:id="echoid-s25820" xml:space="preserve">ab æqui-
              <lb/>
            noctiali linea non differet. </s>
            <s xml:id="echoid-s25821" xml:space="preserve">Itaque ſi primo loco ductus fuerit axis mundi per I, inueniemus beneficio li-
              <lb/>
            neæ I G, ad axem perpendicularis in linea ſtyli aliud punctum G, per quod ęquinoctialis linea ex puncto
              <lb/>
              <note position="left" xlink:label="note-0407-06" xlink:href="note-0407-06a" xml:space="preserve">40</note>
            α, ducenda est, quę neceſſario cum linea ſtyli angulos rectos efficiet.</s>
            <s xml:id="echoid-s25822" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25823" xml:space="preserve">AD extremum ſumpta recta G L, in linea indicis, quæ æqualis ſit ipſi G I, deſcribatur ex L, circu-
              <lb/>
            lus cuiuslibet magnitudinis, qui in 24. </s>
            <s xml:id="echoid-s25824" xml:space="preserve">partes æquales diſtribuatur, initio facto arecta L M, quę ex cen-
              <lb/>
            tro L, ducitur per punctum M, ubi æquinoctialis linea & </s>
            <s xml:id="echoid-s25825" xml:space="preserve">meridiana ſe interſecant, vel a recta L α, du-
              <lb/>
            cta ex eodem centro L, per punctum α, ubi coeunt horizontalis linea, & </s>
            <s xml:id="echoid-s25826" xml:space="preserve">æquinoctialis, ſeu linea horæ 6.
              <lb/>
            </s>
            <s xml:id="echoid-s25827" xml:space="preserve">Neceſſe eſt autem duas rectas L M, & </s>
            <s xml:id="echoid-s25828" xml:space="preserve">L α, ſeſe in L, ad rectos angulos interſecare, ſi nulla in re com
              <lb/>
            miſſus fuerit error. </s>
            <s xml:id="echoid-s25829" xml:space="preserve">Quòd ſi æquinoctialis linea parallela ſit meridiànæ lineæ, ducẽda erit loco rectæ L M,
              <lb/>
            recta eidem meridianæ lineæ parallela, quærectam L α, angulos rectos ſecet. </s>
            <s xml:id="echoid-s25830" xml:space="preserve">I am ſi ex L, per diuiſio-
              <lb/>
            num puncta rectæ occultæ ducantur, ſecabitur ęquinoctialis linea in punctis, per quæ ex centro ρ, du-
              <lb/>
              <note position="right" xlink:label="note-0407-07" xlink:href="note-0407-07a" xml:space="preserve">Lineę
                <unsure/>
              horariæ.</note>
            cendę ſunt lineæ horarum à mer. </s>
            <s xml:id="echoid-s25831" xml:space="preserve">& </s>
            <s xml:id="echoid-s25832" xml:space="preserve">med. </s>
            <s xml:id="echoid-s25833" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s25834" xml:space="preserve">Vel quando centro caret horologium, per quæ ipſi lineę me
              <lb/>
              <note position="left" xlink:label="note-0407-08" xlink:href="note-0407-08a" xml:space="preserve">50</note>
            ridianæ, vel lineę ſtyli, axive ducendę ſunt parallelę, & </s>
            <s xml:id="echoid-s25835" xml:space="preserve">ad ęquinoctialẽ lineã perpendiculares, pro horis
              <lb/>
            à mer. </s>
            <s xml:id="echoid-s25836" xml:space="preserve">& </s>
            <s xml:id="echoid-s25837" xml:space="preserve">med. </s>
            <s xml:id="echoid-s25838" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s25839" xml:space="preserve">Ordo horarũ idem est hic, qui ſupra in prima deſcriptione huius propoſ. </s>
            <s xml:id="echoid-s25840" xml:space="preserve">expoſitus eſt.</s>
            <s xml:id="echoid-s25841" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25842" xml:space="preserve">VIDES ergo, deſcriptionem hanc multo eſſe pręſtantiorem ea, quam primo loco in hac propoſ. </s>
            <s xml:id="echoid-s25843" xml:space="preserve">ex-
              <lb/>
            plicauimus, cùm hęc vltro nos ducat in locum centri horologij, ita vt non op{us} ſit conſiderare, an centrũ
              <lb/>
            horologij statuendum ſit infra lineam ęquinoctialem, an ſupra, quemadmodum in illa deſcriptione.</s>
            <s xml:id="echoid-s25844" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25845" xml:space="preserve">DEMONSTRABIMVS autem omnia, quę in hac deſcriptione ſunt dicta, hoc modo. </s>
            <s xml:id="echoid-s25846" xml:space="preserve">In-
              <lb/>
              <note position="right" xlink:label="note-0407-09" xlink:href="note-0407-09a" xml:space="preserve">Demonſtratio
                <unsure/>
                <lb/>
              proximæ deſ@r@
                <lb/>
              ptionis.</note>
            telligatur triangulum β C D, cuius angulus β, rect{us} eſt, ob quadrantem circuli, ex β, deſcripti inter re-
              <lb/>
            ctas β D, β C, interiectum, moueri circa rectam C D, donec rectum ſit ad planum horologij, atque adeo
              <lb/>
            vertex styli β, cum centro mundi coniungatur. </s>
            <s xml:id="echoid-s25847" xml:space="preserve">Quia igitur angulus K β C, æqualis eſt complemento in-
              <lb/>
            clinationis, erit β C K, angulus inclinationis; </s>
            <s xml:id="echoid-s25848" xml:space="preserve">ac proinde cum Horizon per β, verticem ſtyli incedat,
              <lb/>
            erit recta β C, communis ſectio ipſius, & </s>
            <s xml:id="echoid-s25849" xml:space="preserve">circuli maximi inclinationem metientis, fæ
              <unsure/>
            ciens cum </s>
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