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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          <pb o="240" file="0258" n="258" rhead="GNOMONICES"/>
          <p style="it">
            <s xml:id="echoid-s16283" xml:space="preserve">EADEM ratione ſatis eſſet, ſi ſolum deſcriberetur horologium occidentale. </s>
            <s xml:id="echoid-s16284" xml:space="preserve">Nam & </s>
            <s xml:id="echoid-s16285" xml:space="preserve">hoc, ſi inuer-
              <lb/>
            teretur, vt diximns, exhiberet nobis horologium orientale; </s>
            <s xml:id="echoid-s16286" xml:space="preserve">quod eodem modo demonſtrari poteſt. </s>
            <s xml:id="echoid-s16287" xml:space="preserve">Sed ho
              <lb/>
            ræ, quæ in occidentali horolo gio deſcripto indicant horas à meridie, numerandæ eſſent poſt illam inuer-
              <lb/>
            ſionem à media nocte, propterea quod iam factum eſſet orientale ex occidentali.</s>
            <s xml:id="echoid-s16288" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Lineamenta ho
            <lb/>
          rologii otienta
            <lb/>
          lis in facie pla-
            <lb/>
          ni oppoſita de-
            <lb/>
          ſcripta exhibẽt
            <lb/>
          horologium oc
            <lb/>
          ci
            <unsure/>
          dentale, & cõ
            <lb/>
          tra, ſi numeti
            <lb/>
          horarum mutẽ
            <lb/>
          tut in earũ cõ-
            <lb/>
          plementa uſque
            <lb/>
          ad 12.</note>
          <p style="it">
            <s xml:id="echoid-s16289" xml:space="preserve">IMMO deſcripto horologio orientali in plano quopiam, ſi in parte oppoſita plani deſcribantur li-
              <lb/>
            neæ reſpondentes ad vnguem lineis illius, deſcriptum quoque erit occidentale horologium in facie plani,
              <lb/>
            quę ad occaſum ſpectat, collocandum; </s>
            <s xml:id="echoid-s16290" xml:space="preserve">quia hac ratione angulus complementi altitudinis poli, quem ęqui-
              <lb/>
            noctialis linea cum horizontali facit ſupra lineam horizõtalem, in auſtrum vergit, quemadmodũ in orien
              <lb/>
            tali horologio: </s>
            <s xml:id="echoid-s16291" xml:space="preserve">Sed numeri horarum commutandi ſunt in earum complementa vſque ad 12. </s>
            <s xml:id="echoid-s16292" xml:space="preserve">vt hora 11. </s>
            <s xml:id="echoid-s16293" xml:space="preserve">in
              <lb/>
            1. </s>
            <s xml:id="echoid-s16294" xml:space="preserve">& </s>
            <s xml:id="echoid-s16295" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16296" xml:space="preserve">in 2. </s>
            <s xml:id="echoid-s16297" xml:space="preserve">& </s>
            <s xml:id="echoid-s16298" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16299" xml:space="preserve">Pari ratione deſcripto occidentali borologio, ſi in altera parte plani lineę ducãtur re-
              <lb/>
            ſpondentes lineis illius, deſcriptum erit horologium orientale.</s>
            <s xml:id="echoid-s16300" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s16301" xml:space="preserve">CAETERVM ſi dimidiatas quoque horas, & </s>
            <s xml:id="echoid-s16302" xml:space="preserve">earum partes quartas, octauas, & </s>
            <s xml:id="echoid-s16303" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16304" xml:space="preserve">deſcribere pla
              <lb/>
              <note position="left" xlink:label="note-0258-03" xlink:href="note-0258-03a" xml:space="preserve">Qua ratione
                <lb/>
              partes horarum
                <lb/>
              in Meridiano
                <lb/>
              horologio de-
                <lb/>
              ſcribendz.</note>
            cuerit, diuidendę erunt ſingulæ horę circuli F G H I, in duas partes, quatuor, octo, & </s>
            <s xml:id="echoid-s16305" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16306" xml:space="preserve">reliqua autem
              <lb/>
            perficienda, vt prius.</s>
            <s xml:id="echoid-s16307" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s16308" xml:space="preserve">QVOD ſi in plano aliquo ſtabili, vt in muro ad ortum, occaſumve directo ſpectante horologium de-
              <lb/>
              <note position="left" xlink:label="note-0258-04" xlink:href="note-0258-04a" xml:space="preserve">Quomodo ho-
                <lb/>
              rol
                <unsure/>
              ogium Meri
                <lb/>
              dianum in pla-
                <lb/>
              no ſtabili, quod
                <lb/>
              directo in ortũ,
                <lb/>
              occaſumve ver-
                <lb/>
              git, deſcriben-
                <lb/>
              dum.</note>
            ſcribendũ ſit, (Hactenus enim illud in quolibet plano delineauimus, vt poſtea in proprio ſitu collocetur)
              <lb/>
            ducenda erit beneficio perpendiculi, & </s>
            <s xml:id="echoid-s16309" xml:space="preserve">libellę, in plano propoſito recta A B, Horizonti ęquidiſtans, & </s>
            <s xml:id="echoid-s16310" xml:space="preserve">
              <lb/>
            ex quolibet puncto A, arcus circuli deſcribendus B C, verſus partes auſtrales, vt in eo numeretur com-
              <lb/>
            plementum altitudinis poli B C. </s>
            <s xml:id="echoid-s16311" xml:space="preserve">Reliqua abſoluenda erunt, vt prius.</s>
            <s xml:id="echoid-s16312" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s16313" xml:space="preserve">EODEM modo, ſi detur locus ſtyli in puncto A, eius{q́ue} longitudo A E, ducenda erit dicta recta
              <lb/>
              <note position="left" xlink:label="note-0258-05" xlink:href="note-0258-05a" xml:space="preserve">20</note>
            A B, Horizõti ęquidiſtans per punctũ A, & </s>
            <s xml:id="echoid-s16314" xml:space="preserve">ex A, arcus circuli deſcribẽdus, vt proxime diximus, etc.</s>
            <s xml:id="echoid-s16315" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Si detur locus
            <lb/>
          ſtyli datæ lon-
            <lb/>
          gitudinis qua
            <lb/>
          ratione horolo-
            <lb/>
          gium Meridia-
            <lb/>
          g
            <unsure/>
          ũ deſcribarur.</note>
        </div>
        <div xml:id="echoid-div831" type="section" level="1" n="199">
          <head xml:id="echoid-head202" xml:space="preserve">PROBLEMA 26. PROPOSITIO 26.</head>
          <p>
            <s xml:id="echoid-s16316" xml:space="preserve">PARALLELOS, ſiue arcus ſignorum Zodiaci in prædicto ho-
              <lb/>
            rologio Meridiano deſcribere.</s>
            <s xml:id="echoid-s16317" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16318" xml:space="preserve">SIT Analemma A B C D, cum diametris circulorum, vt in propoſ. </s>
            <s xml:id="echoid-s16319" xml:space="preserve">1. </s>
            <s xml:id="echoid-s16320" xml:space="preserve">ſuperioris libris.
              <lb/>
            </s>
            <s xml:id="echoid-s16321" xml:space="preserve">Quoniam verò Meridianus A B C D, Analemmatis planum horologij non ſecat, intelligatur
              <lb/>
              <note position="left" xlink:label="note-0258-07" xlink:href="note-0258-07a" xml:space="preserve">Deſcriptio pa-
                <lb/>
              rallelorum, ſiue
                <lb/>
              arcuum ſigno-
                <lb/>
              rum in eodem
                <lb/>
              horologio Me-
                <lb/>
              ridiano, ex A-
                <lb/>
              @alemmate.</note>
            circulus A B C D, eſſe circulus horæ ſextæ à meridie, vel media nocte, tanquam proprius Meri-
              <lb/>
              <note position="left" xlink:label="note-0258-08" xlink:href="note-0258-08a" xml:space="preserve">30</note>
            dianus Meridiani circuli, qui nunc Horizontis recti vice fungitur. </s>
            <s xml:id="echoid-s16322" xml:space="preserve">Manifeſtum autem eſt, com-
              <lb/>
            munes ſectiones circuli horæ ſextæ, & </s>
            <s xml:id="echoid-s16323" xml:space="preserve">Æquatoris, parallelorumq́; </s>
            <s xml:id="echoid-s16324" xml:space="preserve">ipſius, diuerſas non eſſe ab ijs,
              <lb/>
            quæ in Meridiano circulo fiunt, propterea quòd Meridianus, & </s>
            <s xml:id="echoid-s16325" xml:space="preserve">circulus horæ ſextæ per polos pa-
              <lb/>
              <figure xlink:label="fig-0258-01" xlink:href="fig-0258-01a" number="181">
                <image file="0258-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0258-01"/>
              </figure>
            rallelorum deſcripti eodem modo
              <lb/>
            omnes parallelos ſecãt, quemadmo
              <lb/>
            dum & </s>
            <s xml:id="echoid-s16326" xml:space="preserve">omnes alij Horizontes re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s16327" xml:space="preserve">Et quia Meridianus per polos
              <lb/>
            mundi tranſit, ſicut & </s>
            <s xml:id="echoid-s16328" xml:space="preserve">circulus ho-
              <lb/>
            ræ ſextæ à mer. </s>
            <s xml:id="echoid-s16329" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s16330" xml:space="preserve">nocte, erit
              <lb/>
            axis F G, communis ſectio circuli
              <lb/>
              <note position="left" xlink:label="note-0258-09" xlink:href="note-0258-09a" xml:space="preserve">40</note>
            horæ ſextæ A B C D, & </s>
            <s xml:id="echoid-s16331" xml:space="preserve">Meridiani
              <lb/>
            tanquam diameter Horizõtis cuiuſ-
              <lb/>
            dam recti, atque adeo Æquatoris ſe-
              <lb/>
            ctio H I, tanquam diameter proprij
              <lb/>
            Verticalis ipſius Meridiani circuli,
              <lb/>
            vt & </s>
            <s xml:id="echoid-s16332" xml:space="preserve">in ſphæra recta contingit. </s>
            <s xml:id="echoid-s16333" xml:space="preserve">In
              <lb/>
            omni enim Horizonte recto Æqua-
              <lb/>
            tor fungitur officio proprie dicti
              <lb/>
            Verticalis circuli. </s>
            <s xml:id="echoid-s16334" xml:space="preserve">Sumpta iam in
              <lb/>
            H I, vtrinq; </s>
            <s xml:id="echoid-s16335" xml:space="preserve">à puncto E, recta E K,
              <lb/>
              <note position="left" xlink:label="note-0258-10" xlink:href="note-0258-10a" xml:space="preserve">50</note>
            aſſumpto gnomoni A E, in præce-
              <lb/>
            denti horologio æquali, ducatur per
              <lb/>
            vtrumq; </s>
            <s xml:id="echoid-s16336" xml:space="preserve">punctum K, ipſi F G, pa-
              <lb/>
            rallela L M. </s>
            <s xml:id="echoid-s16337" xml:space="preserve">Erit utraque parallela
              <lb/>
            communis ſectio circuli horæ ſextæ
              <lb/>
            A B C D, & </s>
            <s xml:id="echoid-s16338" xml:space="preserve">plani horologij, cum
              <lb/>
            hac ratione æquidiſter planum ho-
              <lb/>
            rologij per rectam L M, ductum
              <lb/>
            ipſius Meridiani plano per F G, ducto, ſecundum magnitudinem ſtyli E K. </s>
            <s xml:id="echoid-s16339" xml:space="preserve">Ducantur quoquo
              <lb/>
            diametri Zodiaci ſigna oppoſira connectentes, vt fiant triangula per axem conorum, quorum ba-
              <lb/>
            ſes ſunt para Heli, vertex autem communis centrum E. </s>
            <s xml:id="echoid-s16340" xml:space="preserve">Igitur ex demonſtratis propoſ. </s>
            <s xml:id="echoid-s16341" xml:space="preserve">6. </s>
            <s xml:id="echoid-s16342" xml:space="preserve"/>
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