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="149" file="0169" n="169" rhead="LIBER SECVNDVS."/>
          <p style="it">
            <s xml:id="echoid-s9573" xml:space="preserve">QVONIAM verò in omnibus modis, quibus hactenus horizontale horologium deſcripſimus, hoc
              <lb/>
              <note position="right" xlink:label="note-0169-01" xlink:href="note-0169-01a" xml:space="preserve">Alia deſcriptio
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              horologij hori-
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              zontalis Aſtro-
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              nomici noua &
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              pulcherrima be
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              neficio Ellipſis,
                <lb/>
              ſine punctis in
                <lb/>
              linea ęquino-
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              ctiali inuentis.</note>
            incommodi accidit, vt vix lineæ illæ horariæ, quæ proximæ ſunt lineæ horæ 6. </s>
            <s xml:id="echoid-s9574" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s9575" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s9576" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s9577" xml:space="preserve">duci poſ-
              <lb/>
            ſint, propterea quòd lineam æquinoctialem in remotiſſimis punctis interſecant, monſtrabo aliam viam, & </s>
            <s xml:id="echoid-s9578" xml:space="preserve">
              <lb/>
            nouam illam quidem à nemine antea (quod ſciam) tentatam, qua horarias lineas omnes ducere poſſimus
              <lb/>
            per puncta cuiuſdam ellipſis in plano horologij deſcriptæ, etiamſi nulla puncta in æquinoctiali linea habea
              <lb/>
            mus: </s>
            <s xml:id="echoid-s9579" xml:space="preserve">quæ quidem via omnino neceſſaria eſt ad horologia declinantia à Verticali, ſiue ſimul ad Horizon-
              <lb/>
            tem inclinata ſint, ſiue non, recte delineanda: </s>
            <s xml:id="echoid-s9580" xml:space="preserve">quoniam in his linearũ horariarũ nonnullæ æquidiſtantes
              <lb/>
            ferè ſunt interdũ lineæ æquinoctiali, vt ſuo loco manifeſtum erit. </s>
            <s xml:id="echoid-s9581" xml:space="preserve">Quamuis enim hoc idem alia ratione
              <lb/>
            præstiterit Andreas Schonerus, vt ſupra diximus, nullam tamen eius deſcriptionis demonſtrationem
              <lb/>
            nec ipſe, nec vllus alius confecit. </s>
            <s xml:id="echoid-s9582" xml:space="preserve">Via autem à nobis inuenta eiuſmodi eſt.</s>
            <s xml:id="echoid-s9583" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s9584" xml:space="preserve">DATO ſtylo G D, eius{q́ue} loco in G, ducatur per G, linea meridiana H I. </s>
            <s xml:id="echoid-s9585" xml:space="preserve">Conſtituto rurſus ad ſty-
              <lb/>
            lum G D, qui perpendicularis ſit ad meridianam lineam, angulo complementi altitudinis poli G D H, & </s>
            <s xml:id="echoid-s9586" xml:space="preserve">
              <lb/>
              <figure xlink:label="fig-0169-01" xlink:href="fig-0169-01a" number="124">
                <image file="0169-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0169-01"/>
              </figure>
              <note position="left" xlink:label="note-0169-03" xlink:href="note-0169-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0169-04" xlink:href="note-0169-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0169-05" xlink:href="note-0169-05a" xml:space="preserve">40</note>
            angulo altitudinis poli G D I, ita vt H D, ſit axis mundi, & </s>
            <s xml:id="echoid-s9587" xml:space="preserve">H, centrum horologij, punctum autem I, il-
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            lud, per quod linea æquinoctialis ducenda eſt ad HI, perpendicularis, veluti in præcedenti deſcriptione de-
              <lb/>
            monstrauimus; </s>
            <s xml:id="echoid-s9588" xml:space="preserve">ſumemus in axe H D, producto quodcunque punctum A, & </s>
            <s xml:id="echoid-s9589" xml:space="preserve">ab eo ad H A, perpendicula
              <lb/>
            rem educemus AB, vt ſit A B, noua quædam communis ſectio Meridiani & </s>
            <s xml:id="echoid-s9590" xml:space="preserve">Aequatoris. </s>
            <s xml:id="echoid-s9591" xml:space="preserve">Quo autem re-
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              <note position="left" xlink:label="note-0169-06" xlink:href="note-0169-06a" xml:space="preserve">50</note>
            motius ſumptum fuerit punctũ A, eò accur atius horologium deſcribetur: </s>
            <s xml:id="echoid-s9592" xml:space="preserve">Vnde ſi ſtylus datus tantus fue
              <lb/>
            rit, vt recta H I, notabilem habeat longitudinem, contenti erimus punctis D, & </s>
            <s xml:id="echoid-s9593" xml:space="preserve">I. </s>
            <s xml:id="echoid-s9594" xml:space="preserve">Sed quoniam in exem-
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            plo præcedentis deſcriptionis recta H I, eſt nimis breuis, accepimus propterea alia puncta remotiora A,
              <lb/>
            & </s>
            <s xml:id="echoid-s9595" xml:space="preserve">B. </s>
            <s xml:id="echoid-s9596" xml:space="preserve">Deinde abſciſſa recta H C, ipſi A B, æquali, deſcribantur ex centro H, ad interualla H B, H C,
              <lb/>
            (quorum illud eſt inter centrum horologij, & </s>
            <s xml:id="echoid-s9597" xml:space="preserve">punctum B, per quod æquinoctialis linea in linea meridiana
              <lb/>
            ducitur, hoc vero æquale eſt communi ſectioni A B, Meridiani, & </s>
            <s xml:id="echoid-s9598" xml:space="preserve">Aequatoris inter meridianam lineã,
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            & </s>
            <s xml:id="echoid-s9599" xml:space="preserve">axem) duo circuli, qui (ducta prius diametro S T, ad meridianam lineam H B, perpendiculari) in 24.
              <lb/>
            </s>
            <s xml:id="echoid-s9600" xml:space="preserve">partes æquales ſecentur, initio facto à meridiana linea H B, vel à diametro S T. </s>
            <s xml:id="echoid-s9601" xml:space="preserve">Satis autem eſt, ſi exte-
              <lb/>
            rior diuidatur. </s>
            <s xml:id="echoid-s9602" xml:space="preserve">Nam rectæ ex punctis diuiſionum ad centrum H, ductæ ſecabunt interiorem quoque in
              <lb/>
            24. </s>
            <s xml:id="echoid-s9603" xml:space="preserve">partes ęquales, vt ad finem commentariorum in ſphæram demonſtrauimus. </s>
            <s xml:id="echoid-s9604" xml:space="preserve">Poſt hæc ſumantur duo
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            puncta diuiſionum reſpondentia, qualia ſunt v. </s>
            <s xml:id="echoid-s9605" xml:space="preserve">g. </s>
            <s xml:id="echoid-s9606" xml:space="preserve">F, & </s>
            <s xml:id="echoid-s9607" xml:space="preserve">K: </s>
            <s xml:id="echoid-s9608" xml:space="preserve">Sunt enim in eadem recta F k, ex F, ad </s>
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