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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            <s xml:id="echoid-s15798" xml:space="preserve">
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            ad meridiem, cum ad Meridianum circulum vergat in hemiſphærio ſuperno; </s>
            <s xml:id="echoid-s15799" xml:space="preserve">diuiſioq́; </s>
            <s xml:id="echoid-s15800" xml:space="preserve">circuli in-
              <lb/>
            choanda erit à punctis e, & </s>
            <s xml:id="echoid-s15801" xml:space="preserve">b, quæ occidentalia ſunt, & </s>
            <s xml:id="echoid-s15802" xml:space="preserve">ad horam 24. </s>
            <s xml:id="echoid-s15803" xml:space="preserve">ſpectant. </s>
            <s xml:id="echoid-s15804" xml:space="preserve">Sumimus enim
              <lb/>
            nunc pro horologio boreali totum auſtrale, ſi ex ſuperiori parte fiat inferior, ita vt centrum H, in-
              <lb/>
            fra horizontalem lineam contineatur. </s>
            <s xml:id="echoid-s15805" xml:space="preserve">Vnde proxima puncta verſus M, ad horam 23. </s>
            <s xml:id="echoid-s15806" xml:space="preserve">& </s>
            <s xml:id="echoid-s15807" xml:space="preserve">ſequen-
              <lb/>
            tia ad 22. </s>
            <s xml:id="echoid-s15808" xml:space="preserve">pertinebunt, &</s>
            <s xml:id="echoid-s15809" xml:space="preserve">c. </s>
            <s xml:id="echoid-s15810" xml:space="preserve">Memor autem eſto, in horeali horologio tropicum ♋, eſſe inter centrũ
              <lb/>
              <figure xlink:label="fig-0252-01" xlink:href="fig-0252-01a" number="176">
                <image file="0252-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0252-01"/>
              </figure>
              <note position="left" xlink:label="note-0252-01" xlink:href="note-0252-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0252-02" xlink:href="note-0252-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0252-03" xlink:href="note-0252-03a" xml:space="preserve">30</note>
            H, & </s>
            <s xml:id="echoid-s15811" xml:space="preserve">æquinoctialem lineam. </s>
            <s xml:id="echoid-s15812" xml:space="preserve">Exemplum huius deſcriptionis in horologio auſtrali habes in hora
              <lb/>
            14. </s>
            <s xml:id="echoid-s15813" xml:space="preserve">tropici ♋, & </s>
            <s xml:id="echoid-s15814" xml:space="preserve">hora 13. </s>
            <s xml:id="echoid-s15815" xml:space="preserve">tropici ♑. </s>
            <s xml:id="echoid-s15816" xml:space="preserve">Nam ex f, puncto horæ 14. </s>
            <s xml:id="echoid-s15817" xml:space="preserve">tropici ♋, ducta recta per E, cen
              <lb/>
            trum ſecat lineam æquinoctialem in puncto quodam, per quod ducta ex centro H, recta oſtendet
              <lb/>
            in tropico ♋, punctum h, pro hora 14. </s>
            <s xml:id="echoid-s15818" xml:space="preserve">Rurſus recta ex m, puncto horæ primæ nocturnæ tropici
              <lb/>
            ♑, quæ horæ 13. </s>
            <s xml:id="echoid-s15819" xml:space="preserve">opponitur, ducta per E, occurrit æquinoctiali lineæ in n. </s>
            <s xml:id="echoid-s15820" xml:space="preserve">Et quia linea m E, du-
              <lb/>
            cta ab hora prima nocturna ♑, tranſit per centrum E, antequam æquinoctialem lineam ſecet, id-
              <lb/>
            circo recta H n, in tropico ♑, exhibet punctum q, pro hora prima nocturna ♑, producta verò vl-
              <lb/>
            tra centrum H, offert in eodem tropico punctum p, pro hora 13. </s>
            <s xml:id="echoid-s15821" xml:space="preserve">vt demonſtrauimus propoſ 10.
              <lb/>
            </s>
            <s xml:id="echoid-s15822" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s15823" xml:space="preserve">In horologio boreali nullum exemplum poſuimus, ne multitudo linearum confuſio-
              <lb/>
            nem pareret: </s>
            <s xml:id="echoid-s15824" xml:space="preserve">præſertim quia facile ex auſtrali deducirur, vt in ſcholio ſequentis propoſ. </s>
            <s xml:id="echoid-s15825" xml:space="preserve">dicemus. </s>
            <s xml:id="echoid-s15826" xml:space="preserve">
              <lb/>
            Tranſibunt autem hic quoque lineæ horarum ab occ. </s>
            <s xml:id="echoid-s15827" xml:space="preserve">per horas à mer. </s>
            <s xml:id="echoid-s15828" xml:space="preserve">vel med noc. </s>
            <s xml:id="echoid-s15829" xml:space="preserve">æquinoctialis
              <lb/>
              <note position="left" xlink:label="note-0252-04" xlink:href="note-0252-04a" xml:space="preserve">40</note>
            lineæ, vt propoſ. </s>
            <s xml:id="echoid-s15830" xml:space="preserve">10. </s>
            <s xml:id="echoid-s15831" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15832" xml:space="preserve">diximus. </s>
            <s xml:id="echoid-s15833" xml:space="preserve">Cæterum in hac figura non aſcripſimus numeros hora-
              <lb/>
            rum à mer. </s>
            <s xml:id="echoid-s15834" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s15835" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s15836" xml:space="preserve">quia ex figura propoſ. </s>
            <s xml:id="echoid-s15837" xml:space="preserve">13. </s>
            <s xml:id="echoid-s15838" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15839" xml:space="preserve">facile intelligitur ordo huiuſmo-
              <lb/>
            di horarum.</s>
            <s xml:id="echoid-s15840" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15841" xml:space="preserve">IN Secundo modo, qui ſit per arcus diurnos nocturnosq́ue, nulla eſt difficultas, ſi rectè con-
              <lb/>
              <note position="left" xlink:label="note-0252-05" xlink:href="note-0252-05a" xml:space="preserve">Alia de@criptio
                <lb/>
              horologii Itali
                <lb/>
              ci Verticalis per
                <lb/>
              @tcus diurnos,
                <lb/>
              @octurnosq́;.</note>
            ſiderentur tabulæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s15842" xml:space="preserve">33. </s>
            <s xml:id="echoid-s15843" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15844" xml:space="preserve">poſitæ: </s>
            <s xml:id="echoid-s15845" xml:space="preserve">ſed deſcribendus etiam erit in ho-
              <lb/>
            rologio auſtrali arcus nocturnus horarum 24. </s>
            <s xml:id="echoid-s15846" xml:space="preserve">cum eius ope & </s>
            <s xml:id="echoid-s15847" xml:space="preserve">auxilio facilis reddatur deſcriptio
              <lb/>
            horologii Italici. </s>
            <s xml:id="echoid-s15848" xml:space="preserve">Ducitur enim hora 24. </s>
            <s xml:id="echoid-s15849" xml:space="preserve">ab occaſu per horam quintam à meridie in arcu diur-
              <lb/>
            no horarum 10. </s>
            <s xml:id="echoid-s15850" xml:space="preserve">& </s>
            <s xml:id="echoid-s15851" xml:space="preserve">per horam 12. </s>
            <s xml:id="echoid-s15852" xml:space="preserve">à media nocte in arcu nocturno horarum 24. </s>
            <s xml:id="echoid-s15853" xml:space="preserve">qui eſt parallelus
              <lb/>
            ſemper latentium maximus, ſecatq́ue horam 12. </s>
            <s xml:id="echoid-s15854" xml:space="preserve">à media nocte, quæ eſt hora 12. </s>
            <s xml:id="echoid-s15855" xml:space="preserve">meridiei, in loco
              <lb/>
            ſtyli. </s>
            <s xml:id="echoid-s15856" xml:space="preserve">Eſt autem hora 24. </s>
            <s xml:id="echoid-s15857" xml:space="preserve">ab occaſu parallela lineæ æquinoctiali, cum eadem ſit, quæ horizontalis
              <lb/>
              <note position="left" xlink:label="note-0252-06" xlink:href="note-0252-06a" xml:space="preserve">50</note>
            linea, quam in ſcholio propoſ. </s>
            <s xml:id="echoid-s15858" xml:space="preserve">22. </s>
            <s xml:id="echoid-s15859" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15860" xml:space="preserve">parallelam eſſe æquinoctiali lineæ oſtendimus.
              <lb/>
            </s>
            <s xml:id="echoid-s15861" xml:space="preserve">At hora 23. </s>
            <s xml:id="echoid-s15862" xml:space="preserve">tranſit per horam 4. </s>
            <s xml:id="echoid-s15863" xml:space="preserve">à meridie in arcu diurno horarum 10. </s>
            <s xml:id="echoid-s15864" xml:space="preserve">& </s>
            <s xml:id="echoid-s15865" xml:space="preserve">per horam quintam à
              <lb/>
            meridie in arcu horarum 12. </s>
            <s xml:id="echoid-s15866" xml:space="preserve">quem in auſtrali horologio tota æquinoctialis linea præbet. </s>
            <s xml:id="echoid-s15867" xml:space="preserve">Immo
              <lb/>
            quia hora 23. </s>
            <s xml:id="echoid-s15868" xml:space="preserve">ab occaſu producta vltra parallelum ſemper latentium maximum, ſeu arcum no-
              <lb/>
            cturnum horarum 24. </s>
            <s xml:id="echoid-s15869" xml:space="preserve">fungitur munere horæ 23. </s>
            <s xml:id="echoid-s15870" xml:space="preserve">ab ortu, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s15871" xml:space="preserve">10. </s>
            <s xml:id="echoid-s15872" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15873" xml:space="preserve">oſten
              <lb/>
            dimus, idcirco vides lineam horæ 23. </s>
            <s xml:id="echoid-s15874" xml:space="preserve">ab ortu ita productam tranſire per horam 6. </s>
            <s xml:id="echoid-s15875" xml:space="preserve">à media nocte
              <lb/>
            in arcu nocturno horarum 14. </s>
            <s xml:id="echoid-s15876" xml:space="preserve">& </s>
            <s xml:id="echoid-s15877" xml:space="preserve">ſic de cæteris. </s>
            <s xml:id="echoid-s15878" xml:space="preserve">Hora autem 13. </s>
            <s xml:id="echoid-s15879" xml:space="preserve">ab occaſu, quia non habet pun-
              <lb/>
            ctum reſpondens in arcu diurno horarum 10. </s>
            <s xml:id="echoid-s15880" xml:space="preserve">ducta eſt per horam ſextam à media nocte in
              <lb/>
            arcu nocturno horarum 14. </s>
            <s xml:id="echoid-s15881" xml:space="preserve">Hora denique 12. </s>
            <s xml:id="echoid-s15882" xml:space="preserve">ab occaſu ducenda eſt per horam 12. </s>
            <s xml:id="echoid-s15883" xml:space="preserve">à meridie,
              <lb/>
            hoc eſt, per horam 12. </s>
            <s xml:id="echoid-s15884" xml:space="preserve">mediæ noctis, in arcu nocturno horarum 24. </s>
            <s xml:id="echoid-s15885" xml:space="preserve">& </s>
            <s xml:id="echoid-s15886" xml:space="preserve">æquidiſtans lineæ </s>
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