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-s22507" xml:space="preserve">
              <pb o="337" file="0353" n="353" rhead="LIBER TERTIVS."/>
            ſciatur, in quamnam partem à puncto N, in circulo ex L, deſcripto computari debeat inclinatio
              <lb/>
            proprii Meridiani plani declinantis ad Meridianum Horizontis, diligenter attendenda ſunt ea,
              <lb/>
              <note position="right" xlink:label="note-0353-01" xlink:href="note-0353-01a" xml:space="preserve">Quam in par-
                <lb/>
              tem numeran-
                <lb/>
              da ſit in circu-
                <lb/>
              lo ex L, deſcri-
                <lb/>
              pto inclinatio;
                <lb/>
              Meridiani ip-
                <lb/>
              ſius plani decli
                <lb/>
              nantis ad Me-
                <lb/>
              ridianum Ho-
                <lb/>
              riz onus.</note>
            quæ mox præcipiemus. </s>
            <s xml:id="echoid-s22508" xml:space="preserve">Quando planum ad Zenith pertinet, reſpicitq́ue occaſum, quale eſt no-
              <lb/>
            ſtrum planum, numeranda eſt dicta inclinatio ab N, ſiniſtram verſus, hoc eſt, ad partes orientales
              <lb/>
            verſus A, vſque ad O, quia tunc Meridianus Horizontis per O, ductus orientalior eſt Meridiano
              <lb/>
            proprio plani declinantis per N, ducti, propterea quòd polus plani declinantis, per quem eius Me
              <lb/>
            ridianus proprius ducitur, conſtitutus eſt in quadrante Verticalis circuli ſuperiori, & </s>
            <s xml:id="echoid-s22509" xml:space="preserve">occidentali,
              <lb/>
            vt patet, ſi rectè intelligatur propria poſitio plani declinantis. </s>
            <s xml:id="echoid-s22510" xml:space="preserve">Omnes enim circuli poſitionum,
              <lb/>
            quorum vni horologium ab Horizonte declinans æquidiſtat, polos habent in Verticali circulo.
              <lb/>
            </s>
            <s xml:id="echoid-s22511" xml:space="preserve">
              <note position="right" xlink:label="note-0353-02" xlink:href="note-0353-02a" xml:space="preserve">Omnes circuli
                <lb/>
              poſitionũ polos
                <lb/>
              habent in Ver
                <lb/>
              ticali proprie
                <lb/>
              dicto.</note>
            Nam cum omnes illi tranſeant per polos Verticalis circuli, hoc eſt, per communes ſectione
              <unsure/>
            s Me.
              <lb/>
            </s>
            <s xml:id="echoid-s22512" xml:space="preserve">
              <note position="left" xlink:label="note-0353-03" xlink:href="note-0353-03a" xml:space="preserve">10</note>
            ridiani ac Horizontis, tranſibit viciſſim circulus Verticalis per illorum polos, vt in ſcholio pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s22513" xml:space="preserve">15. </s>
            <s xml:id="echoid-s22514" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s22515" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22516" xml:space="preserve">Theod. </s>
            <s xml:id="echoid-s22517" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s22518" xml:space="preserve">Si verò planum ad Zenith quidem pertineat, ſed ad or-
              <lb/>
            tum vergat, ſupputanda eſt eadẽ inclinatio ab N, dextrã verſus, id eſt, ad occidentales partes verſus
              <lb/>
            B; </s>
            <s xml:id="echoid-s22519" xml:space="preserve">quoniã tunc Meridianus Horizontis occidentalior eſt proprio Meridiano plani declinantis.</s>
            <s xml:id="echoid-s22520" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s22521" xml:space="preserve">EX his facile quiuis intelliget, quam in partem dicta inclinatio numeranda ſit ab N, in infe-
              <lb/>
            riori horologio, ſi diligenter cõſideret, an Meridianus Horizontis in hemiſphærio infero ſit orien
              <lb/>
            talior Meridiano proprio plani declinantis, an occidentalior, &</s>
            <s xml:id="echoid-s22522" xml:space="preserve">c. </s>
            <s xml:id="echoid-s22523" xml:space="preserve">vt in propoſ. </s>
            <s xml:id="echoid-s22524" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22525" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s22526" xml:space="preserve">dixi-
              <lb/>
            mus. </s>
            <s xml:id="echoid-s22527" xml:space="preserve">Abſtinuimus autem à præceptis huius rei tradendis, ne multitudine præceptorum confu-
              <lb/>
            ſionem pareremus lectori: </s>
            <s xml:id="echoid-s22528" xml:space="preserve">maximè quod ſatius eſt inferius horologium ex ſuperiori deducere,
              <lb/>
            vt in ſequenti ſcholio docebimus, quàm propria illud arte delineare.</s>
            <s xml:id="echoid-s22529" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s22530" xml:space="preserve">PRO modo denique tertio & </s>
            <s xml:id="echoid-s22531" xml:space="preserve">vltimo reperimus ex propoſ. </s>
            <s xml:id="echoid-s22532" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22533" xml:space="preserve">primi libri, arcum plani decli-
              <lb/>
              <note position="right" xlink:label="note-0353-05" xlink:href="note-0353-05a" xml:space="preserve">Ali a deſcriptio
                <lb/>
              e
                <unsure/>
              iuſdem horo-
                <lb/>
              logii ab Hori-
                <lb/>
              zonte declina@
                <lb/>
              tis.</note>
            nantis inter Meridianum Horizontis, & </s>
            <s xml:id="echoid-s22534" xml:space="preserve">Meridianum proprium plani declinantis grad. </s>
            <s xml:id="echoid-s22535" xml:space="preserve">24. </s>
            <s xml:id="echoid-s22536" xml:space="preserve">Min.
              <lb/>
            </s>
            <s xml:id="echoid-s22537" xml:space="preserve">14. </s>
            <s xml:id="echoid-s22538" xml:space="preserve">Hic autem arcus computandus erit à recta C D, verſus A, ſi horologium fuerit ſuperius, & </s>
            <s xml:id="echoid-s22539" xml:space="preserve">in
              <lb/>
            occaſum vergat; </s>
            <s xml:id="echoid-s22540" xml:space="preserve">verſus B, autem, ſi ſuperius fuerit, & </s>
            <s xml:id="echoid-s22541" xml:space="preserve">reſpiciat ortum Solis: </s>
            <s xml:id="echoid-s22542" xml:space="preserve">quia ibi Meridianus
              <lb/>
            proprius plani declinantis occidentalior eſt Meridiano Horizontis in ſupero hemiſphærio, ac
              <lb/>
            propterea C P, eius ſectio communis cum plano horologii orientalior debet eſſe in horologio,
              <lb/>
            quàm meridiana linea C D: </s>
            <s xml:id="echoid-s22543" xml:space="preserve">Hic autem Meridianus proprius plani orientalior eſt Meridiano Ho-
              <lb/>
            rizontis, ac proinde C P, ſectio eius cõmunis cum plano horologij occidentalior eſſe debet, quàm
              <lb/>
            linea meridiana C D, in horologio. </s>
            <s xml:id="echoid-s22544" xml:space="preserve">Dubium autem non eſt, in horologio ſuperiori partes à recta
              <lb/>
            C D, vergentes verſus A, eſſe orientales, partes verò verſus B, occidentales.</s>
            <s xml:id="echoid-s22545" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">30</note>
          <p>
            <s xml:id="echoid-s22546" xml:space="preserve">FACILE ex his intelliges, quid agere debeas in horologio inferiori, in quo centrum C, ver-
              <lb/>
            git ad Boream, & </s>
            <s xml:id="echoid-s22547" xml:space="preserve">arcus D P, ad auſtrum, ſi attente conſideres per ea, quæ proximè dicta ſunt, num
              <lb/>
            Meridianus proprius plani declinantis in inferiori horologio ſit orientalior in hemiſphærio infe-
              <lb/>
            ro, quàm Meridianus Horizontis, an verò occidentalior. </s>
            <s xml:id="echoid-s22548" xml:space="preserve">Nam prout fuerit orientalior, occiden-
              <lb/>
            taliorve, ita numerandus erit dictus arcus à recta CD, in horologio ad contrarias partes, nempe ad
              <lb/>
            occidentales, orientalesve. </s>
            <s xml:id="echoid-s22549" xml:space="preserve">Itaque horologium Aſtronomicum ab Horizonte declinans, & </s>
            <s xml:id="echoid-s22550" xml:space="preserve">c. </s>
            <s xml:id="echoid-s22551" xml:space="preserve">de-
              <lb/>
            ſcripſimus, quod faciendum erat.</s>
            <s xml:id="echoid-s22552" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1145" type="section" level="1" n="274">
          <head xml:id="echoid-head284" style="it" xml:space="preserve">SCHOLIVM.</head>
          <note position="left" xml:space="preserve">40</note>
          <p style="it">
            <s xml:id="echoid-s22553" xml:space="preserve">VTRVMQVE horologium declinans ab Horizonte, tam ſuperius, quàm inferius, ita in plano
              <lb/>
              <note position="right" xlink:label="note-0353-08" xlink:href="note-0353-08a" xml:space="preserve">Quomodo col
                <lb/>
              locandum ſit
                <lb/>
              horologium ab
                <lb/>
              Horizonte de-
                <lb/>
              clinans, vt ho-
                <lb/>
              ras indicet.</note>
            declinante statuendum eſt, vt meridiana linea C D, æquidistet lineæ meridianæ in plano, quod Horizon-
              <lb/>
            ti par allelum eſt, inuentæ, (quod facile fiet, ſi recta linea quæpiam ſecans in horologio rectam A B, ad
              <lb/>
            angulos rectos conſtituatur in ipſamet linea meridiana inuenta, ita vt tota toti congruat) & </s>
            <s xml:id="echoid-s22554" xml:space="preserve">ipſum ho-
              <lb/>
            rologium, ſi ſuperius fuerit ſpectans ad occaſum, eleuetur ex parte orientis; </s>
            <s xml:id="echoid-s22555" xml:space="preserve">vel ſi ad ortum pertineat, ex
              <lb/>
            parte occidentis, ſecundum inclinationem plani, nempe in noſtro exemplo, grad. </s>
            <s xml:id="echoid-s22556" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22557" xml:space="preserve">it a tamen, vt illa pars
              <lb/>
            eleuetur, in qua linea horę 6. </s>
            <s xml:id="echoid-s22558" xml:space="preserve">æquinoctialem lineam ſecat. </s>
            <s xml:id="echoid-s22559" xml:space="preserve">Ex quo fit, vt recta A B, directè ab ortu in
              <lb/>
            occaſum porrigatur, hoc eſt, parallela ſit circulo Verticali propriè dicto, ſecet{q́ue}, ad angulos rectos lineam
              <lb/>
            illam meridianam in plano, quod Horizonti æquidiſtat, cui debere congruere diximus rectam illam, quæ
              <lb/>
            in horologio perpendicularis eſt ad rectam A B. </s>
            <s xml:id="echoid-s22560" xml:space="preserve">Si autem inferius fuerit horologium ad ortum ſpectans,
              <lb/>
              <note position="left" xlink:label="note-0353-09" xlink:href="note-0353-09a" xml:space="preserve">50</note>
            eodem modo attollatur ex parte orientis: </s>
            <s xml:id="echoid-s22561" xml:space="preserve">vel ſi ad occaſum ſpectet, ex parte occidentis, ea tamen lege,
              <lb/>
            vt linea horæ 6. </s>
            <s xml:id="echoid-s22562" xml:space="preserve">æquinoctialem lineam ſecans exiſtat infra meridianam lineam C D. </s>
            <s xml:id="echoid-s22563" xml:space="preserve">Hæc verò eleuatio
              <lb/>
            it a commodè fieri poterit. </s>
            <s xml:id="echoid-s22564" xml:space="preserve">In plano, quod Horizonti æquidiſtat, inuentam lineam meridianam ſecet alia
              <lb/>
            linea ad rectos angulos. </s>
            <s xml:id="echoid-s22565" xml:space="preserve">Si enim cum hac conſtituat recta A B, quam in horologio duximus, angulum in-
              <lb/>
            clinationis plani ad Horizontem, it a vt omnes lineæ ex quibuſcunque punctis rectæ A B, demiſſæ ad pla
              <lb/>
            num Horizonti æquidiſtans perpendiculares cadant in rectam, quæ meridianam lineam in eodem plano
              <lb/>
            ad angulos rectos ſecat, proprium ſitum horologium habebit, ſi ea tamen pars horologii eleuata fuerit,
              <lb/>
            quam proximè docuimus eſſe attollendam; </s>
            <s xml:id="echoid-s22566" xml:space="preserve">addito etiam hoc, in ſuperiori horologio centrum C, collo-
              <lb/>
            candum eſſe vltra rectam A B, verſus meridiem, in inferiori autem verſus boream citra eandem re-
              <lb/>
            ctam A B.</s>
            <s xml:id="echoid-s22567" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22568" xml:space="preserve">STYLVS in vtroque horologio erit I K, in puncto K, affigendus, vt perpendicularis ſit ad planũ
              <lb/>
              <note position="right" xlink:label="note-0353-10" xlink:href="note-0353-10a" xml:space="preserve">Stylus horolo-
                <lb/>
              gii.</note>
            </s>
          </p>
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