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-s11187" xml:space="preserve">
              <pb o="173" file="0193" n="193" rhead="LIBER SECVNDVS."/>
            nempe communes corum, & </s>
            <s xml:id="echoid-s11188" xml:space="preserve">plani horologii ſectiones, in quas vmbra ſtyli proiicitur, ex propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s11189" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11190" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11191" xml:space="preserve">Sole dictos Meridianos poſſidente. </s>
            <s xml:id="echoid-s11192" xml:space="preserve">Meridianos ergo, ſeu circulos longitudi-
              <lb/>
            num, &</s>
            <s xml:id="echoid-s11193" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11194" xml:space="preserve">deſcripſimus. </s>
            <s xml:id="echoid-s11195" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s11196" xml:space="preserve"/>
          </p>
          <figure number="141">
            <image file="0193-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0193-01"/>
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          <note position="left" xml:space="preserve">10</note>
          <note position="left" xml:space="preserve">20</note>
        </div>
        <div xml:id="echoid-div609" type="section" level="1" n="154">
          <head xml:id="echoid-head157" style="it" xml:space="preserve">SCHOLIVM.</head>
          <note position="left" xml:space="preserve">30</note>
          <p style="it">
            <s xml:id="echoid-s11197" xml:space="preserve">QVOD ſi longitudo loci ſit arcus B A C, grad. </s>
            <s xml:id="echoid-s11198" xml:space="preserve">v.</s>
            <s xml:id="echoid-s11199" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11200" xml:space="preserve">216. </s>
            <s xml:id="echoid-s11201" xml:space="preserve">ita vt diuiſio circuli ex E, deſcripti initiũ
              <lb/>
              <note position="right" xlink:label="note-0193-04" xlink:href="note-0193-04a" xml:space="preserve">Not
                <unsure/>
              @, qu
                <unsure/>
              æ hi@
                <lb/>
              dicun@ur.</note>
            ſumat à puncto C, & </s>
            <s xml:id="echoid-s11202" xml:space="preserve">propterea punctum A, diſtet ſemicirculo, hoc eſt, grad. </s>
            <s xml:id="echoid-s11203" xml:space="preserve">180. </s>
            <s xml:id="echoid-s11204" xml:space="preserve">ab co, erit recta K L,
              <lb/>
            quæ in noſtro exemplo dat initium longitudinum, longitudo grad. </s>
            <s xml:id="echoid-s11205" xml:space="preserve">180. </s>
            <s xml:id="echoid-s11206" xml:space="preserve">nempe communis ſectio plani ho-
              <lb/>
            rologij, & </s>
            <s xml:id="echoid-s11207" xml:space="preserve">ſemicirculi eiuſdem Meridiani, qui ſemicirculo per Inſulas Fortunatas tranſeunti opponitur.
              <lb/>
            </s>
            <s xml:id="echoid-s11208" xml:space="preserve">In hoc enim Sol exiſtens proijcit vmbram ſtyli per centrum mundi in rectam K L, &</s>
            <s xml:id="echoid-s11209" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11210" xml:space="preserve">cum ſemicircu-
              <lb/>
            lus Aequatoris M B N, ſupra Horizontem exiſtat, reliquus verò infra; </s>
            <s xml:id="echoid-s11211" xml:space="preserve">atque adeo, Sole exiſtente in
              <lb/>
            Aequatore in puncto A, (quod tunc indicat ſemicir culum Meridiani grad. </s>
            <s xml:id="echoid-s11212" xml:space="preserve">180. </s>
            <s xml:id="echoid-s11213" xml:space="preserve">qui nimirum ſemicirculo
              <lb/>
            Inſularum Fortunatarum per C, tranſeunti opponitur) radius A E, cadat in planum horologij in punctũ
              <lb/>
            L, &</s>
            <s xml:id="echoid-s11214" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11215" xml:space="preserve">Hæc autem luce clariora ſunt ex ijs, quæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s11216" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11217" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s11218" xml:space="preserve">ſcripſimus; </s>
            <s xml:id="echoid-s11219" xml:space="preserve">nempe lineam
              <lb/>
            quamcunque in horologio, quæ æquinoctialem lineam ſecat, eum ſemicir culum cæleſtem referre, cuius com
              <lb/>
              <note position="left" xlink:label="note-0193-05" xlink:href="note-0193-05a" xml:space="preserve">40</note>
            munis ſectio in circulo ex E, deſcripto per centrum E, tranſit, priuſquam æquinoctiali lineæ occurrat, cu-
              <lb/>
            iuſmodi eſt ſectio A E, &</s>
            <s xml:id="echoid-s11220" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11221" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11222" xml:space="preserve">EADEM ratione recta, quæ in eodem noſtro exemplo dat longitudinem grad. </s>
            <s xml:id="echoid-s11223" xml:space="preserve">15. </s>
            <s xml:id="echoid-s11224" xml:space="preserve">erit longitudo
              <lb/>
            grad. </s>
            <s xml:id="echoid-s11225" xml:space="preserve">195. </s>
            <s xml:id="echoid-s11226" xml:space="preserve">&</s>
            <s xml:id="echoid-s11227" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11228" xml:space="preserve">quia numeratio graduum in circulo incipiet tunc à puncto C, & </s>
            <s xml:id="echoid-s11229" xml:space="preserve">procedet verſus N, quem-
              <lb/>
            admodum & </s>
            <s xml:id="echoid-s11230" xml:space="preserve">prius à puncto A, incipiebat, & </s>
            <s xml:id="echoid-s11231" xml:space="preserve">per B, C, & </s>
            <s xml:id="echoid-s11232" xml:space="preserve">N, procedebat, nimirum per partes orienta-
              <lb/>
            les, vt ratio poſtulat.</s>
            <s xml:id="echoid-s11233" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11234" xml:space="preserve">VSVS porrò Meridianorum circulorum pulcherrimus est. </s>
            <s xml:id="echoid-s11235" xml:space="preserve">Per eos enim dicto citius cognoſcimus,
              <lb/>
              <note position="right" xlink:label="note-0193-06" xlink:href="note-0193-06a" xml:space="preserve">Per Meridia-
                <lb/>
              nos in horolo-
                <lb/>
              gio deſcriptos
                <lb/>
              cognoſcimus,
                <lb/>
              quibuſnam po-
                <lb/>
              pulis meridies
                <lb/>
              fiat quolibet tẽ
                <lb/>
              pore, & quota
                <lb/>
              hora ſit in quo
                <lb/>
              uis loco, cuiu@
                <lb/>
              longitudo ſit
                <lb/>
              nota.</note>
            quibusnam populis meridies fiat quouis momento temporis, & </s>
            <s xml:id="echoid-s11236" xml:space="preserve">quota hora ſit in qualibet ciuitate, cuius
              <lb/>
            longitudo ignota non fuerit. </s>
            <s xml:id="echoid-s11237" xml:space="preserve">Nam vmbra gnomonis cadente præcisè in aliquam lineam meridianam, (om-
              <lb/>
            nes enim rectæ ex H, egredientes ſunt variæ lineæ meridianæ variarum vrbium, cum ſint, vt oſtenſum eſt,
              <lb/>
              <note position="left" xlink:label="note-0193-07" xlink:href="note-0193-07a" xml:space="preserve">50</note>
            ſectiones communes plani horologij, & </s>
            <s xml:id="echoid-s11238" xml:space="preserve">circulorum Meridianorum) erit meridies in omnibus ciuitatibus,
              <lb/>
            quę habent longitudinem illam, quam numerus illi meridianæ lineæ affixus monſtrat. </s>
            <s xml:id="echoid-s11239" xml:space="preserve">Exempli gratia.
              <lb/>
            </s>
            <s xml:id="echoid-s11240" xml:space="preserve">Gnomonis vmbra cadente quocunque anni tempore in meridianam lineam, cui aſc
              <unsure/>
            riptus est numerus hic,
              <lb/>
            60. </s>
            <s xml:id="echoid-s11241" xml:space="preserve">fiet meridies Alexandriæ Aegypti, quia longitudo huiuſce vrbis, vt ex tabulis Ptolemæi conſtat, con
              <lb/>
            tinet grad. </s>
            <s xml:id="echoid-s11242" xml:space="preserve">60. </s>
            <s xml:id="echoid-s11243" xml:space="preserve">Idem{q́ue} continget in omni alio loco, vel ciuitate cuius longitudo totidem gradus comple-
              <lb/>
            ctitur. </s>
            <s xml:id="echoid-s11244" xml:space="preserve">Quòd ſi tunc temporis noſſe velim, quota hora ſit vbiuis gentium, vt v. </s>
            <s xml:id="echoid-s11245" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11246" xml:space="preserve">in Inſulis Fortu-
              <lb/>
            natis. </s>
            <s xml:id="echoid-s11247" xml:space="preserve">Detraho longitudinem Inſularum Fortunatarum, quæ est grad. </s>
            <s xml:id="echoid-s11248" xml:space="preserve">o. </s>
            <s xml:id="echoid-s11249" xml:space="preserve">(Inde enim initium duci-
              <lb/>
            tur longitudinum omnium) ex longitudine illius Meridiani, in cuius lineam tunc vmbra cadit, nem-
              <lb/>
            pe ex grad. </s>
            <s xml:id="echoid-s11250" xml:space="preserve">60. </s>
            <s xml:id="echoid-s11251" xml:space="preserve">remanent{q́ue} grad. </s>
            <s xml:id="echoid-s11252" xml:space="preserve">60. </s>
            <s xml:id="echoid-s11253" xml:space="preserve">Hos gradus reuoco ad horas, tribuendo quindenis gradibus ſin-
              <lb/>
            gulas horas, & </s>
            <s xml:id="echoid-s11254" xml:space="preserve">ſingulis gradibus quaterna horæ minuta, vel certè ex tabula, (quod quidem multo bre-
              <lb/>
            uius fit) quam in commentarijs in ſphęram poſuimus, cum de Acquatore ageremus; </s>
            <s xml:id="echoid-s11255" xml:space="preserve">efficioq́,
              <unsure/>
            horas 4. </s>
            <s xml:id="echoid-s11256" xml:space="preserve"/>
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