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="10" file="0030" n="30" rhead="GNOMONICES"/>
            circino ſemidiametrum quamcunque, vt A E, vel A K, in quadrante, & </s>
            <s xml:id="echoid-s748" xml:space="preserve">ad eius interuallum circunfe-
              <lb/>
            rentiam occultam deſcribemus H I, vel M N, in qua ſi ſumatur arcus H I, vel M N, æqualis @arcui qua-
              <lb/>
            drantis E F, vel K L, qui complectatur grad@ 42. </s>
            <s xml:id="echoid-s749" xml:space="preserve">Item arcus H P, vel M Q, æqualis arcui quadran-
              <lb/>
            tis E F, vel K L, qui grad. </s>
            <s xml:id="echoid-s750" xml:space="preserve">15. </s>
            <s xml:id="echoid-s751" xml:space="preserve">contineat, & </s>
            <s xml:id="echoid-s752" xml:space="preserve">c. </s>
            <s xml:id="echoid-s753" xml:space="preserve">ducantur{q́ue} rectæ G N I, G Q P, erunt I G H, P G H,
              <lb/>
            anguli quæſiti, & </s>
            <s xml:id="echoid-s754" xml:space="preserve">c.</s>
            <s xml:id="echoid-s755" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s756" xml:space="preserve">VIDES igitur, quanto labore nos leuet quadrans eo modo, quo diximus, conſtructus. </s>
            <s xml:id="echoid-s757" xml:space="preserve">Si enim eo
              <lb/>
            careamus, cogemur ſemper cir culum propoſitum diuidere in ſuos gradus, quod quàm laborioſum ſit, atq;
              <lb/>
            </s>
            <s xml:id="echoid-s758" xml:space="preserve">moleſtum, nemo ignorat. </s>
            <s xml:id="echoid-s759" xml:space="preserve">Itaque vt paucis vniuer ſum vſum quadrantis huius complectamur, quotieſcun-
              <lb/>
            qu@ in hac Gnomonica numeranda eſt altitudo poli, vel declinatio alicuius plani à verticali, inclinatioue
              <lb/>
            ad Horizontem certo numero graduum comprebenſa, vel certè conſtituendus ad aliquam rectam in dato
              <lb/>
              <note position="left" xlink:label="note-0030-01" xlink:href="note-0030-01a" xml:space="preserve">10</note>
            puncto angulus graduum 20. </s>
            <s xml:id="echoid-s760" xml:space="preserve">vel 35. </s>
            <s xml:id="echoid-s761" xml:space="preserve">vel quotcunque, recurrendum erit ad quadr antem hoc loco conſtru-
              <lb/>
            ctum, atque ex eo gradus propcſiti in datam figuram transferendi, vt in ſuperioribus exemplis factũ eſt,
              <lb/>
            ne cogamur cir culos in ſuos gradus partiri: </s>
            <s xml:id="echoid-s762" xml:space="preserve">quæ res plena eſſet laboris, atque moleſtiæ.</s>
            <s xml:id="echoid-s763" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s764" xml:space="preserve">IAM verò ſi in centro A, figatur clauiculus aliquis acutus, & </s>
            <s xml:id="echoid-s765" xml:space="preserve">perexiguus, & </s>
            <s xml:id="echoid-s766" xml:space="preserve">omnes partes qua-
              <lb/>
            drantis extra lineas A B, A C, & </s>
            <s xml:id="echoid-s767" xml:space="preserve">circunferentiam B C, reſecentur, relicta tamen portiuncula quadam
              <lb/>
            circa centrum A, quæ clauiculum includat, vt figura indicat; </s>
            <s xml:id="echoid-s768" xml:space="preserve">habebit noster hic quadr ans multo commo-
              <lb/>
            diorem vſum, & </s>
            <s xml:id="echoid-s769" xml:space="preserve">expeditiorem. </s>
            <s xml:id="echoid-s770" xml:space="preserve">Nam ſi clauiculus ille in centro affixus ponatur in centro G, propoſitæ
              <lb/>
            figuræ, recta{q́ue}, A B, rectę G H, congruat, ſignabimus ſtatim ſtylo quopiam acuto prope grad. </s>
            <s xml:id="echoid-s771" xml:space="preserve">42. </s>
            <s xml:id="echoid-s772" xml:space="preserve">pun-
              <lb/>
            ctum S, & </s>
            <s xml:id="echoid-s773" xml:space="preserve">prope gradum 15. </s>
            <s xml:id="echoid-s774" xml:space="preserve">punctum R. </s>
            <s xml:id="echoid-s775" xml:space="preserve">Rectæ enim ductæ G S, G R, auferent ex cir culo H I, arcum
              <lb/>
            H I, grad. </s>
            <s xml:id="echoid-s776" xml:space="preserve">42. </s>
            <s xml:id="echoid-s777" xml:space="preserve">& </s>
            <s xml:id="echoid-s778" xml:space="preserve">arcum H P, grad. </s>
            <s xml:id="echoid-s779" xml:space="preserve">15. </s>
            <s xml:id="echoid-s780" xml:space="preserve">continebunt{q́ue} angulos S G H, R G H, grad. </s>
            <s xml:id="echoid-s781" xml:space="preserve">42. </s>
            <s xml:id="echoid-s782" xml:space="preserve">& </s>
            <s xml:id="echoid-s783" xml:space="preserve">grad.
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            </s>
            <s xml:id="echoid-s784" xml:space="preserve">
              <note position="left" xlink:label="note-0030-02" xlink:href="note-0030-02a" xml:space="preserve">20</note>
            15. </s>
            <s xml:id="echoid-s785" xml:space="preserve">& </s>
            <s xml:id="echoid-s786" xml:space="preserve">c. </s>
            <s xml:id="echoid-s787" xml:space="preserve">Cætera vſus quotidianus docebit.</s>
            <s xml:id="echoid-s788" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s789" xml:space="preserve">EX altera parte quadrantis deſcribi poterunt radij Signorum Zodiaci, de quibus in propoſ. </s>
            <s xml:id="echoid-s790" xml:space="preserve">1. </s>
            <s xml:id="echoid-s791" xml:space="preserve">quæ
              <lb/>
            iamiam ſequitur, agemus, vt eos, quando opus erit, transferre poſſimus in aliam figuram, quæ pro deſcri-
              <lb/>
            bendis arcubus ſignorum in horologijs conſtruenda eſt, vt ex ſequentibus patebit.</s>
            <s xml:id="echoid-s792" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s793" xml:space="preserve">LIBVIT hoc loco quadrantem hunc explicare, non quòd eius vſus ſit omnino neceſſarius, ſed
              <lb/>
            quòd per eum facilius & </s>
            <s xml:id="echoid-s794" xml:space="preserve">expeditius horologia deſcribamus, cum in noſtra hac Gnomo-
              <lb/>
            nica frequentiſſimè numeranda ſit altitudo poli, vel Aequatoris, decli-
              <lb/>
            natio plani, inclinatio{q́ue}, & </s>
            <s xml:id="echoid-s795" xml:space="preserve">denique accipiendus arcus quot-
              <lb/>
            cunque graduum, & </s>
            <s xml:id="echoid-s796" xml:space="preserve">c. </s>
            <s xml:id="echoid-s797" xml:space="preserve">Quæ quidem omnia dicto ci-
              <lb/>
            tius per Quadrantem eo modo diui-
              <lb/>
              <note position="left" xlink:label="note-0030-03" xlink:href="note-0030-03a" xml:space="preserve">30</note>
            ſum abſoluuntur, vt ex pro-
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            poſitis exemplis ma-
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            nifeſtum eſt.</s>
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