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 style="it">
            <s xml:id="echoid-s4808" xml:space="preserve">
              <pb o="87" file="0107" n="107" rhead="LIBER PRIMVS."/>
            calis à Meria
              <unsure/>
            iano, vt ſupra oſtendimus; </s>
            <s xml:id="echoid-s4809" xml:space="preserve">ac proinde reliquus T R H, angulus declinationis eiuſdem Ver-
              <lb/>
            ticalis à Verticali proprie dicto.</s>
            <s xml:id="echoid-s4810" xml:space="preserve"/>
          </p>
          <figure number="70">
            <image file="0107-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0107-01"/>
          </figure>
          <note position="left" xml:space="preserve">10</note>
          <note position="left" xml:space="preserve">20</note>
          <note position="left" xml:space="preserve">30</note>
          <p style="it">
            <s xml:id="echoid-s4811" xml:space="preserve">IT AQVE ſimurus ſpectet in meridiem, (quod ex ijs diſcemus, quæ ſupra in hac propoſitione tra-
              <lb/>
              <note position="right" xlink:label="note-0107-04" xlink:href="note-0107-04a" xml:space="preserve">Quando muru@
                <lb/>
              in meridiẽ ſpe-
                <lb/>
              ctat, & Sol au-
                <lb/>
              ſtralior eſt quá
                <lb/>
              Verticalis pro-
                <lb/>
              prie dictus, ob-
                <lb/>
              @eruatioq; fit a@
                <lb/>
              te meridiem.</note>
            didimus) & </s>
            <s xml:id="echoid-s4812" xml:space="preserve">punctum S, extiterit inter Q, & </s>
            <s xml:id="echoid-s4813" xml:space="preserve">R, hoc eſt, ſi Sol vltra Verticalem circulum proprie di-
              <lb/>
            ctum repertus fuerit, ita vt tam murum, quàm Verticalem proprie dictum ex parte auſtrali illuminet,
              <lb/>
            atque obſeruatio fiat ante meridiem, conferemus angulum T R H, cum angulo C D G, quem in muro in-
              <lb/>
            uenimus. </s>
            <s xml:id="echoid-s4814" xml:space="preserve">Si enim ille fuerit huic ęqualis, carebit murus declinatione, recta{q́ue} in meridiem verget,
              <lb/>
            cum eadem inuenta ſit declinatio Verticalis per Solem tranſeuntis à muro, & </s>
            <s xml:id="echoid-s4815" xml:space="preserve">à Verticali proprie dicto,
              <lb/>
              <note position="left" xlink:label="note-0107-05" xlink:href="note-0107-05a" xml:space="preserve">40</note>
            Si autem angulus T R H, deprehenſus fuerit maior angulo C D G, erit murus ex parte Orientali inter
              <lb/>
            Verticalem proprie dictum & </s>
            <s xml:id="echoid-s4816" xml:space="preserve">Verticalem per centrum Solis ductum poſitus, propterea quòd ex parte
              <lb/>
            auſtr ali magis tunc diſtet Verticalis per Solem ductus à Verticali proprie dicto, quàm à muro. </s>
            <s xml:id="echoid-s4817" xml:space="preserve">Quare ſi
              <lb/>
            angulum C D G, id eſt, declinationem, quam Verticalis per Solem ductus habet à muro, demamus ex an-
              <lb/>
            gulo T R H, hoc est, à declinatione, quam idem Verticalis per Solem ductus habet à Verticali proprie
              <lb/>
            dicto, reliquus erit angulus declinationis muri à Verticali proprie dicto, & </s>
            <s xml:id="echoid-s4818" xml:space="preserve">à meridie in occaſum. </s>
            <s xml:id="echoid-s4819" xml:space="preserve">Si
              <lb/>
            denique angulus T R H, angulo C D G, minor fuerit, erit Verticalis propriè dictus ex parte orientali
              <lb/>
            inter murum & </s>
            <s xml:id="echoid-s4820" xml:space="preserve">Verticalem, qui per Solem ducitur, propterea quòd ex parte auſtrali magis tunc diſtet
              <lb/>
            Verticalis per Solem ductus à muro, quàm à Verticali proprie dicto. </s>
            <s xml:id="echoid-s4821" xml:space="preserve">Si igitur angulum T R H, ex angu-
              <lb/>
            lo C D G, auferamus, remanebit angulus declinationis muri à Verticali propriè dicto, & </s>
            <s xml:id="echoid-s4822" xml:space="preserve">à meridie
              <lb/>
              <note position="left" xlink:label="note-0107-06" xlink:href="note-0107-06a" xml:space="preserve">50</note>
            in ortum.</s>
            <s xml:id="echoid-s4823" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Quãdo mur
            <unsure/>
          us
            <lb/>
          in meridiẽ ſpe-
            <lb/>
          ctat, & Sol in
            <lb/>
          Verticali pro-
            <lb/>
          priè dicto exi-
            <lb/>
          ſtit, obſerua-
            <lb/>
          tioque fit ante
            <lb/>
          meridiem.</note>
          <p style="it">
            <s xml:id="echoid-s4824" xml:space="preserve">SI autem punctum S, idem fuerit, quod R, hoc eſt, ſi Sol in Verticali propriè dicto extiterit, ita vt
              <lb/>
            adhuc murum illuminet ex parte auſtrali, Verticalem autem proprie dictum nullo modo, erit angulus
              <lb/>
            inuentus C D G, angulus declinationis muri à Verticali propriè dicto, & </s>
            <s xml:id="echoid-s4825" xml:space="preserve">à meridie in ortum; </s>
            <s xml:id="echoid-s4826" xml:space="preserve">quia tunc
              <lb/>
            ex parte orientis auſtralior eſt Verticalis propriè dictus, in quo nimirum Sol existit, quàm murus.</s>
            <s xml:id="echoid-s4827" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4828" xml:space="preserve">DENIQVE ſi fuerit punctum S, inter P, & </s>
            <s xml:id="echoid-s4829" xml:space="preserve">R, id est, ſi Sol citra Verticalem circulum propriè
              <lb/>
              <note position="right" xlink:label="note-0107-08" xlink:href="note-0107-08a" xml:space="preserve">Quãdo murus
                <unsure/>
                <lb/>
              in meridiẽ ſpe-
                <lb/>
              ctat, & Sol bo-
                <lb/>
              realior eſt, quã
                <lb/>
              Verticalis pro-
                <lb/>
              prie dictus, ob-
                <lb/>
              ſeruatioq́; fit an
                <unsure/>
                <lb/>
              te meridiem.</note>
            dictum ſit conſtitutus, ita vt murum quidem illuminet ex parte auſtrali, Verticalem verò propriè di-
              <lb/>
            ctum ex boreali, exiſtet Verticalis, in quo Sol eſt, inter murum, & </s>
            <s xml:id="echoid-s4830" xml:space="preserve">Verticalem primarium ex parte
              <lb/>
            orientis, quia ille Verticalis auſtralior tunc eſt, quàm murus, & </s>
            <s xml:id="echoid-s4831" xml:space="preserve">borealior, quàm Verticalis primarius.
              <lb/>
            </s>
            <s xml:id="echoid-s4832" xml:space="preserve">Quamobrem ſi angulus T R H, angulo C D G, addatur, conflabitur angulus declinationis muri à Verti-
              <lb/>
            cali primario, & </s>
            <s xml:id="echoid-s4833" xml:space="preserve">à meridie in ortum.</s>
            <s xml:id="echoid-s4834" xml:space="preserve"/>
          </p>
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