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="409" file="0425" n="425" rhead="LIBER TERTIVS."/>
          <p>
            <s xml:id="echoid-s26926" xml:space="preserve">EISDEM prorſus uijs, quibus in præcedentibus uſi ſumus, deſcribemus hoc loco aſcenden
              <lb/>
              <note position="right" xlink:label="note-0425-01" xlink:href="note-0425-01a" xml:space="preserve">Aſcẽdentia ſi-
                <lb/>
              gna quo pacto
                <lb/>
              in eodem horo
                <lb/>
              logio depingan
                <lb/>
              tur.</note>
            tia ſigna, ut ex appoſita figura perſpicuum fiet. </s>
            <s xml:id="echoid-s26927" xml:space="preserve">Nam ex prioribus duabus tabellis propoſ. </s>
            <s xml:id="echoid-s26928" xml:space="preserve">9. </s>
            <s xml:id="echoid-s26929" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s26930" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s26931" xml:space="preserve">indagabimus in linea æquinoctiali puncta, per quæ lineæ ♈, ♉, ♊, ♋, ♎, ♏, ♒, & </s>
            <s xml:id="echoid-s26932" xml:space="preserve">♓, tranſeunt. </s>
            <s xml:id="echoid-s26933" xml:space="preserve">
              <lb/>
              <figure xlink:label="fig-0425-01" xlink:href="fig-0425-01a" number="281">
                <image file="0425-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0425-01"/>
              </figure>
              <note position="left" xlink:label="note-0425-02" xlink:href="note-0425-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0425-03" xlink:href="note-0425-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0425-04" xlink:href="note-0425-04a" xml:space="preserve">30</note>
            Ex tertia autem tabella eiuſdem propoſ. </s>
            <s xml:id="echoid-s26934" xml:space="preserve">inueniemus in tropico ♋, puncta pro ♈, ♉, ♊, ♋, & </s>
            <s xml:id="echoid-s26935" xml:space="preserve">♎,
              <lb/>
            Pro ♏, autem ♒, & </s>
            <s xml:id="echoid-s26936" xml:space="preserve">♓, puncta inueniemus in linea meridiana ex tabella ſexta eiuſdem propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s26937" xml:space="preserve">
              <note position="left" xlink:label="note-0425-05" xlink:href="note-0425-05a" xml:space="preserve">40</note>
            Deinde pro ♌, reperiemus punctum in tropico ♋, ex tertia tabella eiuſdẽ propoſ. </s>
            <s xml:id="echoid-s26938" xml:space="preserve">per quod du-
              <lb/>
            ximus lineam ♌, trãſeuntem per punctum illud horizõtalis lineæ, ubi à parallelo ♊, & </s>
            <s xml:id="echoid-s26939" xml:space="preserve">♌, ſeca-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s26940" xml:space="preserve">Pro ♍, tandem offendimus unum punctum in tropico ♋, ex tertia tabella dictæ propoſ. </s>
            <s xml:id="echoid-s26941" xml:space="preserve">& </s>
            <s xml:id="echoid-s26942" xml:space="preserve">
              <lb/>
            alterum in meridiana linea ex ſexta tabella propoſ. </s>
            <s xml:id="echoid-s26943" xml:space="preserve">eiuſdem. </s>
            <s xml:id="echoid-s26944" xml:space="preserve">Lineæ autem ♐, & </s>
            <s xml:id="echoid-s26945" xml:space="preserve">♑, uix in noſtro
              <lb/>
            exemplo deſcribi poſſunt, cum nimis procul excurrãt, vt ex dictis tabellis facile colligi poteſt. </s>
            <s xml:id="echoid-s26946" xml:space="preserve">Trã-
              <lb/>
            ſibũtautem omnes lineæ aſcendentium ſignorum per puncta lineæ horizontalis, vbi eam arcus ſi-
              <lb/>
            gnorum ſecant, quæ quidem puncta ſine dictis arcubus inueſtigari etiam poſſunt vel ex tabella
              <lb/>
            quinta propoſ. </s>
            <s xml:id="echoid-s26947" xml:space="preserve">9. </s>
            <s xml:id="echoid-s26948" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s26949" xml:space="preserve">2. </s>
            <s xml:id="echoid-s26950" xml:space="preserve">vt ex ſuperioribus patet, vel ex figura latitudinum ortiuarum, occidua-
              <lb/>
            rumve propoſ. </s>
            <s xml:id="echoid-s26951" xml:space="preserve">21. </s>
            <s xml:id="echoid-s26952" xml:space="preserve">libri 2. </s>
            <s xml:id="echoid-s26953" xml:space="preserve">hac arte.</s>
            <s xml:id="echoid-s26954" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Inuentio pun-
            <lb/>
          ctorum, per quę
            <lb/>
          aſcendentia ſi-
            <lb/>
          gna ducuntur
            <lb/>
          in linea hori-
            <lb/>
          zontali.</note>
          <p>
            <s xml:id="echoid-s26955" xml:space="preserve">IN figura latitudinum ortiuarum, & </s>
            <s xml:id="echoid-s26956" xml:space="preserve">occiduarum, quam in propoſ. </s>
            <s xml:id="echoid-s26957" xml:space="preserve">9. </s>
            <s xml:id="echoid-s26958" xml:space="preserve">huius libri repetiuimus
              <lb/>
              <note position="left" xlink:label="note-0425-07" xlink:href="note-0425-07a" xml:space="preserve">50</note>
            conſtituatur B E G, angulus declinationis plani propoſiti à Verticali circulo, ad partes quidẽ me-
              <lb/>
            ridiei uerſus occaſum, ſi planum à ſeptentrionem in ortum declinet, vt in dato exemplo contin-
              <lb/>
            git, vel verſus ortum, ſi in occaſum uergat: </s>
            <s xml:id="echoid-s26959" xml:space="preserve">at uerò ad partes ſeptentrionis verſus ortum, ſi horo-
              <lb/>
            logium deflectat à meridie in occaſum, vel verſus occaſum, ſi uergat à meridie in ortũ. </s>
            <s xml:id="echoid-s26960" xml:space="preserve">Poſt hæc
              <lb/>
            accipiatur recta E G, ęqualis rectę A B, in figura propoſ. </s>
            <s xml:id="echoid-s26961" xml:space="preserve">40. </s>
            <s xml:id="echoid-s26962" xml:space="preserve">huius libri, & </s>
            <s xml:id="echoid-s26963" xml:space="preserve">per G, ad E G, perpendi
              <lb/>
            cularis excitetur G H. </s>
            <s xml:id="echoid-s26964" xml:space="preserve">Si enim puncta huius perpendicularis, vbi à radiis latitudinũ ortiuarũ ſe-
              <lb/>
            catur, ex puncto H, accepta trãsferantur in lineam horizontalẽ ex puncto F, vbi meridiana linea,
              <lb/>
            & </s>
            <s xml:id="echoid-s26965" xml:space="preserve">horizontalis ſe mutuo interſecãt, inuenta erunt puncta, per quæ arcus ſignorũ ducuntur. </s>
            <s xml:id="echoid-s26966" xml:space="preserve">Ducta
              <lb/>
            enim ex K, loco gnomonis ad horizontalẽ lineã perpendiculari K B, & </s>
            <s xml:id="echoid-s26967" xml:space="preserve">ad hanc alia perpendicula
              <lb/>
            ri K A, quæ ſtylo æqualis ſit, iungatur recta A B, quæ eadem eſt, quę prædicta in propoſ. </s>
            <s xml:id="echoid-s26968" xml:space="preserve">40. </s>
            <s xml:id="echoid-s26969" xml:space="preserve">hu-
              <lb/>
            ius libri, atque adeò rectæ E G, in figura latitudinum ortiuarum propoſ. </s>
            <s xml:id="echoid-s26970" xml:space="preserve">9. </s>
            <s xml:id="echoid-s26971" xml:space="preserve">huius libri æqualis; </s>
            <s xml:id="echoid-s26972" xml:space="preserve"/>
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