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

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          <p style="it">
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              <pb o="563" file="0579" n="579" rhead="LIBER SEXTVS."/>
            mus) ita ſinus totus ad aliud, inuenietur ſinus complementi circunferentiæ horizontalis: </s>
            <s xml:id="echoid-s36790" xml:space="preserve">ac propterea
              <lb/>
              <note position="right" xlink:label="note-0579-01" xlink:href="note-0579-01a" xml:space="preserve">in Aequatore,
                <lb/>
              ex doctrina ſi-
                <lb/>
              nuum.</note>
            complementum hoc, vna cum circunferentia horizontali, notum erit. </s>
            <s xml:id="echoid-s36791" xml:space="preserve">Pro deſcenſiua autem circunfe-
              <lb/>
            rentia cuiuſcunque horæ accipienda est declinatio paralleli, vt patet.</s>
            <s xml:id="echoid-s36792" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s36793" xml:space="preserve">INVENTIS autem circunferentijs horizontalibus, ſupput abim{us} ill{as} in circulo ex loco ſtyli
              <lb/>
              <note position="right" xlink:label="note-0579-02" xlink:href="note-0579-02a" xml:space="preserve">Deſcriptio horo
                <lb/>
              logii æquino-
                <lb/>
              ctialis ex circun
                <lb/>
              ferentijs hori-
                <lb/>
              zon@alibus de-
                <lb/>
              ſcenſiuisq́ue in
                <lb/>
              Aequatore, tan-
                <lb/>
              quam Horizon
                <lb/>
              te, inuentis.</note>
            deſcripto à linea horę 6. </s>
            <s xml:id="echoid-s36794" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s36795" xml:space="preserve">& </s>
            <s xml:id="echoid-s36796" xml:space="preserve">med. </s>
            <s xml:id="echoid-s36797" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s36798" xml:space="preserve">quæ lineam meridianam in loco ſtyli ad angulos rectos ſecat,
              <lb/>
            eſt{q́ue} inſtar lineæ Verticalis ipſi{us} æquinoctialis horologij, vt horologium æquinoctiale componamus, ſur-
              <lb/>
            ſum quidem verſus in ſuperiorihorologio æquinoctiali pro horis, quę maiorem diſtantiam habent à meri-
              <lb/>
            die, quàm 6. </s>
            <s xml:id="echoid-s36799" xml:space="preserve">horar@m, deorſum vero, ſi minorem: </s>
            <s xml:id="echoid-s36800" xml:space="preserve">Contra vero in inferiori. </s>
            <s xml:id="echoid-s36801" xml:space="preserve">Per puncta enim hoc modo
              <lb/>
            inuenta ducendæ ſunt lineæ horariæ ex centro, ſeulocoſtyli.</s>
            <s xml:id="echoid-s36802" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s36803" xml:space="preserve">CAETERVM omnia, quæ in hoc cap. </s>
            <s xml:id="echoid-s36804" xml:space="preserve">eius{q́ue} ſcholio de horologiorum deſcriptione ex circunferen
              <lb/>
              <note position="left" xlink:label="note-0579-03" xlink:href="note-0579-03a" xml:space="preserve">10</note>
            tijs horizontalib{us}, deſcenſiuis diximus, meli{us} intelligentur, ſi in memoriam renocentur ea, quæ in ſu-
              <lb/>
            periori lib. </s>
            <s xml:id="echoid-s36805" xml:space="preserve">de eorundem horologiorum deſcriptione tradidimus. </s>
            <s xml:id="echoid-s36806" xml:space="preserve">Horizontales enim circunferentiæ eæ-
              <lb/>
            dem hic ſunt, quæ ibi latitudines vmbrarum, & </s>
            <s xml:id="echoid-s36807" xml:space="preserve">deſcenſiuæ eædem, quę complementa altitud inum So-
              <lb/>
            lis, & </s>
            <s xml:id="echoid-s36808" xml:space="preserve">c. </s>
            <s xml:id="echoid-s36809" xml:space="preserve">Quamobrem ſi quid minus recte hic intelligetur, recurrendum erit ad ſuperiorem lib. </s>
            <s xml:id="echoid-s36810" xml:space="preserve">Superua-
              <lb/>
            caneum enim duximus, ea, quæ ibi ſcripſimus, hoc loco repetere.</s>
            <s xml:id="echoid-s36811" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1863" type="section" level="1" n="480">
          <head xml:id="echoid-head509" style="it" xml:space="preserve">DE HOROLOGIIS DECLINANTIBVS VEL AVERTICALI,
            <lb/>
          vel ab Horizonte, & inclinatis ad Horizontem, & ijs, quæ à Ver-
            <lb/>
          ticali declinant, & ſimul ad Horizontem ſunt
            <lb/>
          inclinata. CAP. X.</head>
          <p>
            <s xml:id="echoid-s36812" xml:space="preserve">VT TANDEM per Analemma horologium declinans à Verticali, aut ab Horizonte; </s>
            <s xml:id="echoid-s36813" xml:space="preserve">Itẽ
              <lb/>
            inclinatum ad Horizontem, vel declinans à Verticali, & </s>
            <s xml:id="echoid-s36814" xml:space="preserve">inclinatum ſimul ad Horizontem
              <lb/>
            deſcribatur, inueſtiganda primum erit, per propoſ. </s>
            <s xml:id="echoid-s36815" xml:space="preserve">29. </s>
            <s xml:id="echoid-s36816" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s36817" xml:space="preserve">1. </s>
            <s xml:id="echoid-s36818" xml:space="preserve">altitudo poli ſupra circulum maxi-
              <lb/>
            mum, cui horologium deſcribendum ęquidiſtat, & </s>
            <s xml:id="echoid-s36819" xml:space="preserve">ad hanc altitudinem Analemma fabricãdum,
              <lb/>
            obſeruando diligenter, num polus arcticus, antarcticusve eleuetur ſupra faciem illam circuli ma-
              <lb/>
            ximi, cui horologium æquidiſtat: </s>
            <s xml:id="echoid-s36820" xml:space="preserve">quod quidem cognoſcemus ex ijs, quæ ad initium ſcholij pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s36821" xml:space="preserve">1. </s>
            <s xml:id="echoid-s36822" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s36823" xml:space="preserve">ſcripſimus. </s>
            <s xml:id="echoid-s36824" xml:space="preserve">In exemplum ſit propoſitum hoc Analemma circulo illi maxi-
              <lb/>
            mo congruens, cui ho-
              <lb/>
              <figure xlink:label="fig-0579-01" xlink:href="fig-0579-01a" number="359">
                <image file="0579-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0579-01"/>
              </figure>
            rologium declinans à
              <lb/>
              <note position="left" xlink:label="note-0579-05" xlink:href="note-0579-05a" xml:space="preserve">30</note>
            Verticali circulo gr. </s>
            <s xml:id="echoid-s36825" xml:space="preserve">30.
              <lb/>
            </s>
            <s xml:id="echoid-s36826" xml:space="preserve">æquidiſtat, quod & </s>
            <s xml:id="echoid-s36827" xml:space="preserve">pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s36828" xml:space="preserve">1. </s>
            <s xml:id="echoid-s36829" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s36830" xml:space="preserve">3. </s>
            <s xml:id="echoid-s36831" xml:space="preserve">& </s>
            <s xml:id="echoid-s36832" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s36833" xml:space="preserve">
              <lb/>
            5. </s>
            <s xml:id="echoid-s36834" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s36835" xml:space="preserve">5. </s>
            <s xml:id="echoid-s36836" xml:space="preserve">deſcripſimus. </s>
            <s xml:id="echoid-s36837" xml:space="preserve">
              <lb/>
            Nam altitudo poli DH,
              <lb/>
            complectitur grad. </s>
            <s xml:id="echoid-s36838" xml:space="preserve">40. </s>
            <s xml:id="echoid-s36839" xml:space="preserve">
              <lb/>
            Min. </s>
            <s xml:id="echoid-s36840" xml:space="preserve">3. </s>
            <s xml:id="echoid-s36841" xml:space="preserve">quantam videli-
              <lb/>
            cer ſupra dictum circu-
              <lb/>
            lum inuenimus, vt ex ſu
              <lb/>
            perioribus conſtat. </s>
            <s xml:id="echoid-s36842" xml:space="preserve">Et
              <lb/>
              <note position="left" xlink:label="note-0579-06" xlink:href="note-0579-06a" xml:space="preserve">40</note>
            quoniam polus antarcti
              <lb/>
            cus ſupra illius circuli
              <lb/>
            faciem auſtralem eleua-
              <lb/>
            tur, ſi ponamus H, po-
              <lb/>
            lum antarcticum, erit
              <lb/>
            k L, diameter paralleli
              <lb/>
            ♑, & </s>
            <s xml:id="echoid-s36843" xml:space="preserve">M N, diameter
              <lb/>
            paralleli ♋; </s>
            <s xml:id="echoid-s36844" xml:space="preserve">ita vt K R,
              <lb/>
            ſit arcus ſemidiurnus
              <lb/>
            ♑, & </s>
            <s xml:id="echoid-s36845" xml:space="preserve">L R, arcus ſemino
              <lb/>
              <note position="left" xlink:label="note-0579-07" xlink:href="note-0579-07a" xml:space="preserve">50</note>
            cturnus, at M P, arcus
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            ſemidiurnus ♋, & </s>
            <s xml:id="echoid-s36846" xml:space="preserve">N P,
              <lb/>
            ſeminocturnus, ſi præ-
              <lb/>
            dictus circulus maxi-
              <lb/>
            mus eſſet Horizon, in
              <lb/>
            quo polus antarcticus
              <lb/>
            conſpicuus ſit. </s>
            <s xml:id="echoid-s36847" xml:space="preserve">E contrario vero, quia polus arcticus ſupra eiuſdem circuli faciem borealem ele-
              <lb/>
            uatur, ſi ponatur H, polus arcticus, erit k L, diameter paralleli ♋, & </s>
            <s xml:id="echoid-s36848" xml:space="preserve">M N, diameter paralleli ♑; </s>
            <s xml:id="echoid-s36849" xml:space="preserve">ita
              <lb/>
            vt k R, ſit arcus ſemidiurnus ♋, & </s>
            <s xml:id="echoid-s36850" xml:space="preserve">L R, arcus ſeminocturnus, at M P, arcus ſemidiurnus ♑, & </s>
            <s xml:id="echoid-s36851" xml:space="preserve">
              <lb/>
            N P, arcus ſeminocturnus. </s>
            <s xml:id="echoid-s36852" xml:space="preserve">Circulus autem A B C D, non refert Meridianum eius loci, in quo
              <lb/>
            horologium conſtruitur, ſed Meridianum illius loci, in quo dictus circulus maximus eſſet </s>
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