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>
            <s xml:id="echoid-s17726" xml:space="preserve">
              <pb o="261" file="0277" n="277" rhead="LIBER SECVNDVS."/>
            & </s>
            <s xml:id="echoid-s17727" xml:space="preserve">ad rectam B D, in Horizonte exiſtentem, per defin. </s>
            <s xml:id="echoid-s17728" xml:space="preserve">3. </s>
            <s xml:id="echoid-s17729" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s17730" xml:space="preserve">11. </s>
            <s xml:id="echoid-s17731" xml:space="preserve">Euclid. </s>
            <s xml:id="echoid-s17732" xml:space="preserve">perpendicularis erit in cen
              <lb/>
            tro mundi B. </s>
            <s xml:id="echoid-s17733" xml:space="preserve">Quare B C, axis erit Horizontis, hoc eſt, communis ſectio Meridiani, & </s>
            <s xml:id="echoid-s17734" xml:space="preserve">Verticalis
              <lb/>
            propriè dicti, ac proinde, & </s>
            <s xml:id="echoid-s17735" xml:space="preserve">omnium aliorum Verticalium. </s>
            <s xml:id="echoid-s17736" xml:space="preserve">Quod etiam inde patere poteſt, quòd
              <lb/>
              <figure xlink:label="fig-0277-01" xlink:href="fig-0277-01a" number="192">
                <image file="0277-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0277-01"/>
              </figure>
              <note position="left" xlink:label="note-0277-01" xlink:href="note-0277-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0277-02" xlink:href="note-0277-02a" xml:space="preserve">20</note>
            angulus A B C, æqualis ſit altitudini poli, qualis nimirum eſt angulus inclinationis Æquatoris
              <lb/>
              <note position="left" xlink:label="note-0277-03" xlink:href="note-0277-03a" xml:space="preserve">30</note>
            per A B, rectam tranſeuntis ad Vetticalem propriè dictum. </s>
            <s xml:id="echoid-s17737" xml:space="preserve">Iam circulus ex E, deſcriptus moueri
              <lb/>
            concipiatur circa lineam horizontalem, donec cum Horizonte, ac proinde eius centrum E, cum
              <lb/>
            centro mundi B, propter æqual@@atem rectarum D B, D E, coniungatur. </s>
            <s xml:id="echoid-s17738" xml:space="preserve">Hoc poſito, erunt rectæ
              <lb/>
            ex centro E, per puncta diuiſionum procedentes, communes ſectiones Horizontis, & </s>
            <s xml:id="echoid-s17739" xml:space="preserve">Verticaliũ
              <lb/>
            circulorum, eò quòd Horizon, & </s>
            <s xml:id="echoid-s17740" xml:space="preserve">circulus ex E, deſcriptus in partes ſimiles diuidantur, per ea, quę
              <lb/>
            ad finem cap. </s>
            <s xml:id="echoid-s17741" xml:space="preserve">1 in ſphæram demonſtrauimus. </s>
            <s xml:id="echoid-s17742" xml:space="preserve">Occurruntigitur Verticales circuli plano horolo-
              <lb/>
            gii in punctis illis horizontalis lineæ, in quæ cadunt rectæ ex E, ductæ. </s>
            <s xml:id="echoid-s17743" xml:space="preserve">Quocirca cum communes
              <lb/>
            ſectiones circulorum Verticalium, & </s>
            <s xml:id="echoid-s17744" xml:space="preserve">plani horologii, per propoſ. </s>
            <s xml:id="echoid-s17745" xml:space="preserve">18. </s>
            <s xml:id="echoid-s17746" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s17747" xml:space="preserve">coeant in pun-
              <lb/>
            cto C, in quo nimirum communis illorum omnium ſectio, hoc eſt, axis Horizontis planum horo
              <lb/>
            logii ſecat; </s>
            <s xml:id="echoid-s17748" xml:space="preserve">erunt rectæ ex C, per puncta inuenta in linea horizontali emiſſæ, communes ſectio-
              <lb/>
              <note position="left" xlink:label="note-0277-04" xlink:href="note-0277-04a" xml:space="preserve">40</note>
            nes plani horologii, & </s>
            <s xml:id="echoid-s17749" xml:space="preserve">Verticalium circulorum. </s>
            <s xml:id="echoid-s17750" xml:space="preserve">Communis autem ſectio Verticalis propriè di-
              <lb/>
            cti, ac plani horologii ducenda eſt pe@ C, parallela lineę æquinoctiali, & </s>
            <s xml:id="echoid-s17751" xml:space="preserve">horizontali. </s>
            <s xml:id="echoid-s17752" xml:space="preserve">Cum enim
              <lb/>
            Verticalis propriè dictus, Horizon, Æquator, & </s>
            <s xml:id="echoid-s17753" xml:space="preserve">circulus horæ 6. </s>
            <s xml:id="echoid-s17754" xml:space="preserve">cui planum horologii æquidi-
              <lb/>
            ſtat, habeant vnam communem ſectionem, erunt per ſcholium propoſ. </s>
            <s xml:id="echoid-s17755" xml:space="preserve">22. </s>
            <s xml:id="echoid-s17756" xml:space="preserve">præcedentis lib. </s>
            <s xml:id="echoid-s17757" xml:space="preserve">com
              <lb/>
            munes ſectiones priorum trium circulorum factæ à plano horologii, nempe linea Verticalis, hori
              <lb/>
            zontalis, & </s>
            <s xml:id="echoid-s17758" xml:space="preserve">æquinoctialis, inter ſeſe parallelæ.</s>
            <s xml:id="echoid-s17759" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17760" xml:space="preserve">CAETERVM punctum C, inuenietur etiam hoc modo. </s>
            <s xml:id="echoid-s17761" xml:space="preserve">In prima figura propoſ. </s>
            <s xml:id="echoid-s17762" xml:space="preserve">26. </s>
            <s xml:id="echoid-s17763" xml:space="preserve">huius
              <lb/>
            lib. </s>
            <s xml:id="echoid-s17764" xml:space="preserve">notentur puncta n, & </s>
            <s xml:id="echoid-s17765" xml:space="preserve">o, in quibus diameter Verticalis A C, parallelas L M, L M, ſecat, & </s>
            <s xml:id="echoid-s17766" xml:space="preserve">
              <lb/>
            recta k n, vel K o, transferatur in meridianam lineam, in horologio quidem ſuperiori infra locum
              <lb/>
            ſtyli vſque ad C, in inferiori verò ſupra locum ſtyli, initio ſem per facto à loco ſtyli A. </s>
            <s xml:id="echoid-s17767" xml:space="preserve">Nam per C,
              <lb/>
              <note position="left" xlink:label="note-0277-05" xlink:href="note-0277-05a" xml:space="preserve">50</note>
            ducenda eſt Verticalis linea proprie dicta parallela lineæ æquinoctiali, vt prius, quia in punctis n,
              <lb/>
              <note position="right" xlink:label="note-0277-06" xlink:href="note-0277-06a" xml:space="preserve">15. primi.</note>
            & </s>
            <s xml:id="echoid-s17768" xml:space="preserve">o, Verticalis cireulus propriè dictus, qui ducitur per A C, occurrit plano vtriuſque horologii
              <lb/>
              <note position="right" xlink:label="note-0277-07" xlink:href="note-0277-07a" xml:space="preserve">26. primi.</note>
            per L M, ducto in punctis n, & </s>
            <s xml:id="echoid-s17769" xml:space="preserve">o, infra quidem locum ſtyli in ſuperiori horologio, ſupra verò in
              <lb/>
              <note position="right" xlink:label="note-0277-08" xlink:href="note-0277-08a" xml:space="preserve">Por@o ſuperio
                <lb/>
              ris horologii ab
                <lb/>
              ſciſ@a à linea ho
                <lb/>
              rizontali, ſi in-
                <lb/>
              uertanrur eius
                <lb/>
              par@es in facie
                <lb/>
              horologii cppo
                <lb/>
              fita, @a vt ho@i-
                <lb/>
              zo@talis linea
                <lb/>
              occupet ſupre-
                <lb/>
              mum locũ, da-
                <lb/>
              bit Verticales
                <lb/>
              circulos in infe
                <lb/>
              riori hor
                <unsure/>
              c
                <unsure/>
              logio.</note>
            inferiori, &</s>
            <s xml:id="echoid-s17770" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17771" xml:space="preserve">Et quoniam recta K n, rectæ K o, æqualis eſt, (cum enim in triangulis E K n, E K o,
              <lb/>
            anguli ad K, recti ſint, & </s>
            <s xml:id="echoid-s17772" xml:space="preserve">anguli ad verticem E, æquales; </s>
            <s xml:id="echoid-s17773" xml:space="preserve">Item & </s>
            <s xml:id="echoid-s17774" xml:space="preserve">latera E K, E K, æqualia, erunt & </s>
            <s xml:id="echoid-s17775" xml:space="preserve">
              <lb/>
            latera K n, K o, æqualia) propterea diximus eandem K n, vel k o, in vtroque horologio transfe-
              <lb/>
            rendam eſſe in lineam meridianam infra, vel ſupra locum ſtyli.</s>
            <s xml:id="echoid-s17776" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17777" xml:space="preserve">QVOD ſi portio abſciſſa à linea horizontali ponatur in facie inferiori plani, ita vt horizon-
              <lb/>
            talis linea ſuperiorem occuper locum, & </s>
            <s xml:id="echoid-s17778" xml:space="preserve">quæ dextra pars tune eſt, fiat ſiniſtra, & </s>
            <s xml:id="echoid-s17779" xml:space="preserve">contra, habebi-
              <lb/>
            mus eoſdem circulos Verticales in horologio inferiori, vt demonſtrauimus in ſcholio propoſ. </s>
            <s xml:id="echoid-s17780" xml:space="preserve">14.
              <lb/>
            </s>
            <s xml:id="echoid-s17781" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s17782" xml:space="preserve">Immo verò hic non eſt neceſſarium, vt pars dextra fiat ſiniſtra, quia ad vtramque </s>
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