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-s18971" xml:space="preserve">
              <pb o="280" file="0296" n="296" rhead="GNOMONICES"/>
            quoque triangulum A D E, æquale erit triangulo D X S, proximè antecedentis figuræ, cum trian-
              <lb/>
            gulum D X S, æquale ſit prædicto triangulo F p m. </s>
            <s xml:id="echoid-s18972" xml:space="preserve">Quoniam enim angulus I D X, in Analemma-
              <lb/>
            te huius figuræ angulo E F p, in figura antecedentis propoſ. </s>
            <s xml:id="echoid-s18973" xml:space="preserve">eſt æqualis, quòd vterque ſit angulus
              <lb/>
            complementi altitudinis poli; </s>
            <s xml:id="echoid-s18974" xml:space="preserve">& </s>
            <s xml:id="echoid-s18975" xml:space="preserve">angulus rectus D I X, angulo recto F E p; </s>
            <s xml:id="echoid-s18976" xml:space="preserve">ſuntq́ue latera D I,
              <lb/>
            F E, æqualia, quòd vtrumque ſtylo ſit ſumptum æquale; </s>
            <s xml:id="echoid-s18977" xml:space="preserve">erunt quoque latera D X, X I, lateribus
              <lb/>
              <note position="left" xlink:label="note-0296-01" xlink:href="note-0296-01a" xml:space="preserve">26. primi.</note>
            F p, p E, æqualia. </s>
            <s xml:id="echoid-s18978" xml:space="preserve">Eademq́ue ratione D S, S I, lateribus F m, m E, æqualia erunt, &</s>
            <s xml:id="echoid-s18979" xml:space="preserve">c. </s>
            <s xml:id="echoid-s18980" xml:space="preserve">Poſt hæc
              <lb/>
            ex figura præcedentis propoſ. </s>
            <s xml:id="echoid-s18981" xml:space="preserve">omnia interualla inter centrum e, & </s>
            <s xml:id="echoid-s18982" xml:space="preserve">puncta, quibus lineæ Verticales
              <lb/>
            lineam horizontalem ſecant, transferantur in hanc figuram ex A, in rectam A B, notatis punctis
              <lb/>
            in recta A B, appoſitisq́ue numeris linearum Verticalium, vt 90. </s>
            <s xml:id="echoid-s18983" xml:space="preserve">iuxta punctum E, & </s>
            <s xml:id="echoid-s18984" xml:space="preserve">75. </s>
            <s xml:id="echoid-s18985" xml:space="preserve">ad ſequẽs
              <lb/>
            punctum, &</s>
            <s xml:id="echoid-s18986" xml:space="preserve">c. </s>
            <s xml:id="echoid-s18987" xml:space="preserve">Poſtremo ex D, per puncta in A B, ſignata educantur rectæ lineæ: </s>
            <s xml:id="echoid-s18988" xml:space="preserve">Pro Verticali au-
              <lb/>
              <note position="left" xlink:label="note-0296-02" xlink:href="note-0296-02a" xml:space="preserve">10</note>
            tem linea proprie dicta, à qua aliarum principium ſumitur, ducenda eſt per D, ipſi A B, parallela
              <lb/>
            D F, & </s>
            <s xml:id="echoid-s18989" xml:space="preserve">ad dextram partem ipſius trãsferendæ quoque ſunt lineæ iam ductæ ex D, per puncta rectę
              <lb/>
            A B, vt habeantur lineæ Verticales vltra, & </s>
            <s xml:id="echoid-s18990" xml:space="preserve">citra lineam Verticalem proprie dictam, quemadmodũ
              <lb/>
            in horologio horizontali factum eſt propoſ. </s>
            <s xml:id="echoid-s18991" xml:space="preserve">2. </s>
            <s xml:id="echoid-s18992" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s18993" xml:space="preserve">de lineis ante horam 6. </s>
            <s xml:id="echoid-s18994" xml:space="preserve">& </s>
            <s xml:id="echoid-s18995" xml:space="preserve">poſt. </s>
            <s xml:id="echoid-s18996" xml:space="preserve">Nam li-
              <lb/>
            neę ex D, per puncta rectæ A B, emiſſæ ſpectant ad lineas Verticales ante Verticalem propriè dictã,
              <lb/>
            in quas ſcilicet vmbra ſtyli proiicitur, Sole exiſtente in Verticalibus borealibus; </s>
            <s xml:id="echoid-s18997" xml:space="preserve">aliæ verò perti-
              <lb/>
            nent ad Verticales lineas vltra Verticalem circulum propriè dictum, &</s>
            <s xml:id="echoid-s18998" xml:space="preserve">c.</s>
            <s xml:id="echoid-s18999" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19000" xml:space="preserve">ITAQVE ſi interualla rectarum ex D, egredientium inter D, & </s>
            <s xml:id="echoid-s19001" xml:space="preserve">radium v.</s>
            <s xml:id="echoid-s19002" xml:space="preserve">g. </s>
            <s xml:id="echoid-s19003" xml:space="preserve">paralleli Hori-
              <lb/>
            zontis grad. </s>
            <s xml:id="echoid-s19004" xml:space="preserve">15. </s>
            <s xml:id="echoid-s19005" xml:space="preserve">poſita transferantur ex puncto p, figuræ pręcedentis propoſ. </s>
            <s xml:id="echoid-s19006" xml:space="preserve">in lineas Verticales re-
              <lb/>
            ſpondentes numeris in recta A B, huius figuræ aſſignatis, notando puncta in ipſis lineis Verticali-
              <lb/>
              <note position="left" xlink:label="note-0296-03" xlink:href="note-0296-03a" xml:space="preserve">20</note>
            bus, (ita tamen vt interualla rectarum ex D, emiſſarum, & </s>
            <s xml:id="echoid-s19007" xml:space="preserve">verſus A B, cadentium trans ferantur ex
              <lb/>
            Zenith p, in lineas Ver-
              <lb/>
            ticales horologii ſupra
              <lb/>
            lineam Verticalem pro-
              <lb/>
              <figure xlink:label="fig-0296-01" xlink:href="fig-0296-01a" number="205">
                <image file="0296-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0296-01"/>
              </figure>
            priè dictam, interualla
              <lb/>
            verò rectarum ex D, ca-
              <lb/>
            dentium ad dextram re
              <lb/>
            ctæ D F, transferantur
              <lb/>
            in Verticales lineas in-
              <lb/>
            fra Verticalem lineam
              <lb/>
              <note position="left" xlink:label="note-0296-04" xlink:href="note-0296-04a" xml:space="preserve">30</note>
            propriè dictam) & </s>
            <s xml:id="echoid-s19008" xml:space="preserve">hæc
              <lb/>
            puncta appoſitè, con-
              <lb/>
            gruenterq́ue linea qua-
              <lb/>
            dam inflexa coniungan
              <lb/>
            tur, deſcriptus erit pa-
              <lb/>
            rallelus Horizontis gr.
              <lb/>
            </s>
            <s xml:id="echoid-s19009" xml:space="preserve">15. </s>
            <s xml:id="echoid-s19010" xml:space="preserve">Eademque ratione
              <lb/>
            reliqui paralleli Hori-
              <lb/>
            zontis deſcribentur. </s>
            <s xml:id="echoid-s19011" xml:space="preserve">
              <lb/>
            Demonſtratio huius rei
              <lb/>
              <note position="left" xlink:label="note-0296-05" xlink:href="note-0296-05a" xml:space="preserve">Demonſtratio
                <lb/>
              poſterioris hu-
                <lb/>
              iuſce deſcriptio
                <lb/>
              nis parallelorũ
                <lb/>
              Horizontis.</note>
              <note position="left" xlink:label="note-0296-06" xlink:href="note-0296-06a" xml:space="preserve">40</note>
            non differt ab illa, quã
              <lb/>
            tradidimus in ſecundo
              <lb/>
            modo deſcribendi pa-
              <lb/>
            rallelos ſignorum Zo-
              <lb/>
            diaci in horologio ho-
              <lb/>
            rizontali. </s>
            <s xml:id="echoid-s19012" xml:space="preserve">Nam hic li-
              <lb/>
            nea horizontalis eſt veluti Æquatoris linea, & </s>
            <s xml:id="echoid-s19013" xml:space="preserve">lineæ Verticales tanquam lineæ horariæ, quarum
              <lb/>
            centrum eſt Zenith p, &</s>
            <s xml:id="echoid-s19014" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19015" xml:space="preserve">vt in præcedenti Analemmate diximus. </s>
            <s xml:id="echoid-s19016" xml:space="preserve">Itaque recta A B, huius
              <lb/>
            figuræ reſpondet radio Æquatoris in poſtrema figura propoſ. </s>
            <s xml:id="echoid-s19017" xml:space="preserve">2. </s>
            <s xml:id="echoid-s19018" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s19019" xml:space="preserve">& </s>
            <s xml:id="echoid-s19020" xml:space="preserve">rectæ ex A, emiſ-
              <lb/>
            ſæ radijs ſignorum ex D, emiſſis: </s>
            <s xml:id="echoid-s19021" xml:space="preserve">recta autem A D, axi D H, & </s>
            <s xml:id="echoid-s19022" xml:space="preserve">punctum D, puncto H, li-
              <lb/>
              <note position="left" xlink:label="note-0296-07" xlink:href="note-0296-07a" xml:space="preserve">50</note>
            neæ denique Verticales ex D, cadentes lineis horarijs ex H, ductis. </s>
            <s xml:id="echoid-s19023" xml:space="preserve">Idem fiet, ſi interualla re-
              <lb/>
            ctarum ex D, exeuntium inter rectam A B, quæ (vt diximus) eſt inſtar radij Æquatoris, & </s>
            <s xml:id="echoid-s19024" xml:space="preserve">
              <lb/>
            rectas ex A, emiſſas, quæ ſunt veluti radij ſignorum, transferantur in reſpondentes lineas Verti-
              <lb/>
            cales à linea horizontali horologij, &</s>
            <s xml:id="echoid-s19025" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19026" xml:space="preserve">quemadmodum in horizontali horologio interualla
              <lb/>
            inter radium Æquatoris, & </s>
            <s xml:id="echoid-s19027" xml:space="preserve">radios ſignorum translata ſunt, vt arcus ſignorum deſcriberentur.
              <lb/>
            </s>
            <s xml:id="echoid-s19028" xml:space="preserve">Pro horologio æquinoctiali inferiori transferendi ſunt radij parallelorum Horizontis ex A, per
              <lb/>
            puncta quadrantis B C, egredientes ad ſiniſtram rectæ A B, ita, vt quemadmodum in figura vlti-
              <lb/>
            ma propoſ. </s>
            <s xml:id="echoid-s19029" xml:space="preserve">2. </s>
            <s xml:id="echoid-s19030" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s19031" xml:space="preserve">radij ſignorum ad partem dextram radij Æquatoris pertinent ad ſigna
              <lb/>
            auſtralia infra lineam æquinoctialem horologij deſcribenda, & </s>
            <s xml:id="echoid-s19032" xml:space="preserve">radij ad ſiniſtram, ad ſigna borea-
              <lb/>
            lia ſupra æquinoctialem lineam deſcribenda: </s>
            <s xml:id="echoid-s19033" xml:space="preserve">ita etiam hic radij parallelorum Horizontis ex A,
              <lb/>
            educti ad dexteram rectæ A B, quæ eſt inſtar noui cuiuſdam radij Æquatoris, vt dictum eſt, </s>
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