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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        <div xml:id="echoid-div503" type="section" level="1" n="142">
          <p style="it">
            <s xml:id="echoid-s9118" xml:space="preserve">
              <pb o="142" file="0162" n="162" rhead="GNOMONICES"/>
            eos ducit per partes æquales Aequatoris, quàm ſecundum Campani ſententiam, qui eoſdem per partes
              <lb/>
            æquales Verticalis circuli primarij ducendos eſſe cenſet.</s>
            <s xml:id="echoid-s9119" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9120" xml:space="preserve">PRAETEREA in problemate nono trademus modum, quo in eodem plano propoſito deſcribere
              <lb/>
              <note position="left" xlink:label="note-0162-01" xlink:href="note-0162-01a" xml:space="preserve">Signa aſcenden
                <lb/>
              tia.</note>
            poſſimus aſcendentia ſigna Zodiaci, hoc eſt, lineas rectas, quæ communes ſectiones ſunt plani horologij, & </s>
            <s xml:id="echoid-s9121" xml:space="preserve">
              <lb/>
            Eclipticæ, prout varios ſitus, ac poſitiones habet in Horizonte, dum initia ſignorum Zodiaci ſupra Hori-
              <lb/>
            zontem emergunt.</s>
            <s xml:id="echoid-s9122" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9123" xml:space="preserve">DECIMO loco horologium Italicum, continens nimirum horas ab occaſu Solis, quarum vſus ho-
              <lb/>
              <note position="left" xlink:label="note-0162-02" xlink:href="note-0162-02a" xml:space="preserve">Horæ ab occaſu
                <lb/>
              Solis.</note>
            die in Italia maxime & </s>
            <s xml:id="echoid-s9124" xml:space="preserve">Bohemia viget, in dato plano conſtruemus.</s>
            <s xml:id="echoid-s9125" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9126" xml:space="preserve">IN ſequenti verò problemate vndecimo conſtituemus horologium Babylonicum in eodem plano, com
              <lb/>
              <note position="left" xlink:label="note-0162-03" xlink:href="note-0162-03a" xml:space="preserve">Horæ ab ortu
                <lb/>
              Solis.</note>
            plectens videlicet horas ab ortu Solis, quibus nostra tempeſtate inſulæ Baleares vtuntur.</s>
            <s xml:id="echoid-s9127" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s9128" xml:space="preserve">AD extremum in plano eodem horologium Antiquum depingemus, comprehendens horas inæquales,
              <lb/>
              <note position="left" xlink:label="note-0162-05" xlink:href="note-0162-05a" xml:space="preserve">Horæ antiquæ,
                <lb/>
              ſiue inæquales.</note>
            quæ olim apud Veteres vbique fere gentium in vſu fuerunt.</s>
            <s xml:id="echoid-s9129" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9130" xml:space="preserve">IN hiſce autem duodecim rebus in omni plano propoſito deſcribendis, vtemur ſemper demonſtra-
              <lb/>
            tionibus Geometricis, ne in deſcriptione ipſa quicquam in dubium quæſtionem{q́ue} horologiographus vocare
              <lb/>
            poſſit. </s>
            <s xml:id="echoid-s9131" xml:space="preserve">Vſus quoque omnium explicabitur in proprijs propoſitionibus horologiorũ horizontalium, de qui-
              <lb/>
            bus primo loco dicturi ſumus, qui in omnibus alijs horologijs eodem modo intelligendus erit.</s>
            <s xml:id="echoid-s9132" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9133" xml:space="preserve">ITAQVE ſecundus hic liber complectetur omnia illa horologia, quæ in plano, quod vel Horizon-
              <lb/>
              <note position="left" xlink:label="note-0162-06" xlink:href="note-0162-06a" xml:space="preserve">Argumentum
                <lb/>
              libri ſecundi.</note>
            tis, vel Verticali propriè dicto, vel Meridiano, vel circulo horæ ſextæ à meridie vel media nocte, vel de-
              <lb/>
            nique Aequatori æquidiſtat, deſcribi ſolent: </s>
            <s xml:id="echoid-s9134" xml:space="preserve">quod quidem planum, cuicunque maximo circulo ex nomina-
              <lb/>
            tis æquidiſtet, perpetuo vnum, & </s>
            <s xml:id="echoid-s9135" xml:space="preserve">idem eſt, nunquam ſitum mutans in eodem climate. </s>
            <s xml:id="echoid-s9136" xml:space="preserve">Reliqua vero ho-
              <lb/>
              <note position="left" xlink:label="note-0162-07" xlink:href="note-0162-07a" xml:space="preserve">20</note>
            rologia, quorum plana circulis maximis æquidiſtant, qui vel declinant à Verticali, vel ab Horizonte, vel
              <lb/>
            ad Horizontẽ ſunt inclinati, vel denique & </s>
            <s xml:id="echoid-s9137" xml:space="preserve">à Verticali deflectunt, & </s>
            <s xml:id="echoid-s9138" xml:space="preserve">ſimul inclinati ſunt ad Horizon-
              <lb/>
            tem, intertium librum reijciemus: </s>
            <s xml:id="echoid-s9139" xml:space="preserve">quæ quidem in eodem climate ſexcentis modis variari poſſunt. </s>
            <s xml:id="echoid-s9140" xml:space="preserve">Nam
              <lb/>
            verbi gratia, circulus maximus à Verticali declinans, cui horologium æquidiſtat, declinare poteſt in ortũ
              <lb/>
            vel occaſum, vno duntaxat gradu, vel duobus, vel tribus, quatuor, quinque, ſex, & </s>
            <s xml:id="echoid-s9141" xml:space="preserve">ita deinceps vſque ad
              <lb/>
            90. </s>
            <s xml:id="echoid-s9142" xml:space="preserve">Vnde & </s>
            <s xml:id="echoid-s9143" xml:space="preserve">horologium illi æquidiſtans tot modis etiam variabitur, licet in eodem ſemper climate, ſiue
              <lb/>
            eadem altitudine poli permaneamus. </s>
            <s xml:id="echoid-s9144" xml:space="preserve">Idem{q́ue} de alijs dicendum eſt.</s>
            <s xml:id="echoid-s9145" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9146" xml:space="preserve">QVONIAM vero pluribus vijs horologium Aſtronomicum in quolibet plano deſcripturi ſumus,
              <lb/>
              <note position="left" xlink:label="note-0162-08" xlink:href="note-0162-08a" xml:space="preserve">Quæ ra tio de-
                <lb/>
              ſctibendi horo-
                <lb/>
              logij Aſtrono-
                <lb/>
              mici in quoli-
                <lb/>
              bet plano ma-
                <lb/>
              gis probetur.</note>
            inter omnes illa ratio magis mihi probatur, (vt etiã hac in parte ſtudioſo Lectori ſignificem, qua potiſſi-
              <lb/>
            mum via in horologiorum deſcriptionibus progrediendum eſſe cenſeam) quæ longitudinem ſtyli datam,
              <lb/>
              <note position="left" xlink:label="note-0162-09" xlink:href="note-0162-09a" xml:space="preserve">30</note>
            eius{q́ue} locum datum accipit, vt horologium deſcribat; </s>
            <s xml:id="echoid-s9147" xml:space="preserve">adiuncta etiam illa, quæ per Ellipſim fit in plano
              <lb/>
            horologij deſcriptam. </s>
            <s xml:id="echoid-s9148" xml:space="preserve">Id quod à nemine hactenus (quod ſciam) factum eſſe, nedum demonſtratum, obſer
              <lb/>
            uauimus. </s>
            <s xml:id="echoid-s9149" xml:space="preserve">Priorem rationem explicatam, demonſtratam{q́ue} in ſcholijs ſingulorum Aſtronomicorum horo-
              <lb/>
            logiorum, quæ deſcribuntur propoſ. </s>
            <s xml:id="echoid-s9150" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9151" xml:space="preserve">13. </s>
            <s xml:id="echoid-s9152" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9153" xml:space="preserve">37. </s>
            <s xml:id="echoid-s9154" xml:space="preserve">& </s>
            <s xml:id="echoid-s9155" xml:space="preserve">49. </s>
            <s xml:id="echoid-s9156" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s9157" xml:space="preserve">at que propoſ. </s>
            <s xml:id="echoid-s9158" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9159" xml:space="preserve">13. </s>
            <s xml:id="echoid-s9160" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9161" xml:space="preserve">& </s>
            <s xml:id="echoid-s9162" xml:space="preserve">37. </s>
            <s xml:id="echoid-s9163" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9164" xml:space="preserve">3.
              <lb/>
            </s>
            <s xml:id="echoid-s9165" xml:space="preserve">eandem{q́ue} libro 7. </s>
            <s xml:id="echoid-s9166" xml:space="preserve">repetitam inuenies. </s>
            <s xml:id="echoid-s9167" xml:space="preserve">Posteriorem vero in ſcholijs propoſitionum 1. </s>
            <s xml:id="echoid-s9168" xml:space="preserve">& </s>
            <s xml:id="echoid-s9169" xml:space="preserve">13. </s>
            <s xml:id="echoid-s9170" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s9171" xml:space="preserve">& </s>
            <s xml:id="echoid-s9172" xml:space="preserve">
              <lb/>
            in ſcholijs propoſitionum 1. </s>
            <s xml:id="echoid-s9173" xml:space="preserve">13. </s>
            <s xml:id="echoid-s9174" xml:space="preserve">25. </s>
            <s xml:id="echoid-s9175" xml:space="preserve">& </s>
            <s xml:id="echoid-s9176" xml:space="preserve">37. </s>
            <s xml:id="echoid-s9177" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9178" xml:space="preserve">3. </s>
            <s xml:id="echoid-s9179" xml:space="preserve">quia Ellipſis illa locum non habet in ſcholijs propoſitio-
              <lb/>
            num 25. </s>
            <s xml:id="echoid-s9180" xml:space="preserve">37. </s>
            <s xml:id="echoid-s9181" xml:space="preserve">& </s>
            <s xml:id="echoid-s9182" xml:space="preserve">49. </s>
            <s xml:id="echoid-s9183" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s9184" xml:space="preserve">Quod vero attinet ad horas ab ortu, & </s>
            <s xml:id="echoid-s9185" xml:space="preserve">occaſu Solis deſcribendas, eligerem
              <lb/>
            ſemper modum illum, quem libro 5. </s>
            <s xml:id="echoid-s9186" xml:space="preserve">explicabimus; </s>
            <s xml:id="echoid-s9187" xml:space="preserve">ſi tamen tabulæ, quæ ad hanc rem neceſſariæ ſunt, ha-
              <lb/>
            beantur in promptu, quas quidem in eodem lib. </s>
            <s xml:id="echoid-s9188" xml:space="preserve">ſupputare docebimus. </s>
            <s xml:id="echoid-s9189" xml:space="preserve">Hic enim modus uidctur eſſe om-
              <lb/>
            nium facillimus, & </s>
            <s xml:id="echoid-s9190" xml:space="preserve">minus obnoxius errori, vt ſuo loco planum faciemus.</s>
            <s xml:id="echoid-s9191" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p style="it">
            <s xml:id="echoid-s9192" xml:space="preserve">NON explicauimus autem duas illas rationes deſcribendi horologij Aſtronomici in ipſis propoſitio-
              <lb/>
            nibus, ſed eas in ſcholia reiecimus; </s>
            <s xml:id="echoid-s9193" xml:space="preserve">quoniam deſcriptiones in propoſitionibus expoſitę ab omnibus fere ar-
              <lb/>
            tificibus vſurpantur, licet in illis etiam aliqua immutauerimus. </s>
            <s xml:id="echoid-s9194" xml:space="preserve">Vnde viſum eſt, priori loco illas Geome
              <lb/>
            tricis demonstrationibus corroborare. </s>
            <s xml:id="echoid-s9195" xml:space="preserve">quod quidem neminem ante nos perfecte, plene{q́ue} præſtitiſ-
              <lb/>
            ſe inuenimus.</s>
            <s xml:id="echoid-s9196" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div519" type="section" level="1" n="143">
          <head xml:id="echoid-head146" xml:space="preserve">DE HOROLOGIIS HORIZONTALIBVS.
            <lb/>
          PROBLEMA 1. PROPOSITIO 1.</head>
          <note position="left" xml:space="preserve">50</note>
          <p>
            <s xml:id="echoid-s9197" xml:space="preserve">HOROLOGIVM Aſtronomicum Horizontale conſtituere.
              <lb/>
            </s>
            <s xml:id="echoid-s9198" xml:space="preserve">Hoc eſt, lineas horarum à meridie, vel media nocte inchoatarum in pla
              <lb/>
            no, quod Horizonti æquidiſtat, deſcribere.</s>
            <s xml:id="echoid-s9199" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9200" xml:space="preserve">SIT Meridiani ſemicirculus A B C, cuius centrum D, ſitq́; </s>
            <s xml:id="echoid-s9201" xml:space="preserve">B C, communis ſectio ipſius & </s>
            <s xml:id="echoid-s9202" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0162-12" xlink:href="note-0162-12a" xml:space="preserve">Deſcriptio pot-
                <lb/>
              tionis Analem-
                <lb/>
              matis.</note>
            Horizontis; </s>
            <s xml:id="echoid-s9203" xml:space="preserve">A D, communis eiuſdem ac Verticalis ſectio; </s>
            <s xml:id="echoid-s9204" xml:space="preserve">F D, ſectio cõmunis eiuſdem & </s>
            <s xml:id="echoid-s9205" xml:space="preserve">Aequa
              <lb/>
            toris; </s>
            <s xml:id="echoid-s9206" xml:space="preserve">& </s>
            <s xml:id="echoid-s9207" xml:space="preserve">E D, axis mundi, vt propoſ. </s>
            <s xml:id="echoid-s9208" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9209" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s9210" xml:space="preserve">tradidimus. </s>
            <s xml:id="echoid-s9211" xml:space="preserve">Productis autem rectis A D, E D,
              <lb/>
            FD, ad partes D, ſumatur in A D, producta gnomoni horologij futuri, cuiuſcunque is magnitu-
              <lb/>
            dinis fuerit, æqualis recta D G, & </s>
            <s xml:id="echoid-s9212" xml:space="preserve">per G, agatur ipſi B C, parallela H I, ſecans E D, F D, </s>
          </p>
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