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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            accidet, ſi facies ſuperior circuli inclinati ad ortum vergat. </s>
            <s xml:id="echoid-s30137" xml:space="preserve">Idem prorſus dicendum eſt de circulo
              <unsure/>
              <lb/>
            inclinato ex parte australi. </s>
            <s xml:id="echoid-s30138" xml:space="preserve">Si enim facies eius ſuperior occaſum reſpiciat, arcus Meridiani
              <lb/>
            ex parte auſtrali inter ipſum, & </s>
            <s xml:id="echoid-s30139" xml:space="preserve">Horizontem minor ſit arcu Meridiani inter parallelum auſtra-
              <lb/>
            lem & </s>
            <s xml:id="echoid-s30140" xml:space="preserve">Horizontem, diuidetur tam ille auſtralis parallelus, quam borealis oppoſitus, in duobus
              <lb/>
            quoque punctis, quorum orientale minus distat à ſemicirculo Meridiam ſupra Horizontem exi-
              <lb/>
            ſtente, quàm occidentale, propter angulum acutum, quem circulus inclinatus cum Meridiano ad partes
              <lb/>
            orientales, boreales efficit: </s>
            <s xml:id="echoid-s30141" xml:space="preserve">Si verò arcus Meridiani inter circulum inclinatum, & </s>
            <s xml:id="echoid-s30142" xml:space="preserve">Horizontem ma-
              <lb/>
            ior fuerit arcu Meridiani ex parte auſtrali inter parallelum auſtralem, & </s>
            <s xml:id="echoid-s30143" xml:space="preserve">Horizontem, ſecabitur pa-
              <lb/>
            rallel{us} ille auſtralis in duobus punctis occidentalibus, parallelus verò borealis oppoſitus in duobus pun
              <lb/>
            ctis orientalibus. </s>
            <s xml:id="echoid-s30144" xml:space="preserve">Contrarium his continget, ſi facies ſuperior circuli inclinati in ortum vergat. </s>
            <s xml:id="echoid-s30145" xml:space="preserve">Quod ſi
              <lb/>
              <note position="left" xlink:label="note-0472-01" xlink:href="note-0472-01a" xml:space="preserve">10</note>
            planum ex parte australi inclinatum ſit, ſecet Meridianum inter polum arcticum, & </s>
            <s xml:id="echoid-s30146" xml:space="preserve">parallelum bo-
              <lb/>
            realem, vel inter Aequatorem, & </s>
            <s xml:id="echoid-s30147" xml:space="preserve">parallelum borealem, idem dicendum erit, quod ſupra, cum planum
              <lb/>
            ex parte boreali inclinatum erat, ſecabat Meriaianum inter Horizontem, & </s>
            <s xml:id="echoid-s30148" xml:space="preserve">parallelum borealem,
              <lb/>
            vel inter Aequatorem, & </s>
            <s xml:id="echoid-s30149" xml:space="preserve">parallelum borealem. </s>
            <s xml:id="echoid-s30150" xml:space="preserve">Quæ omnia ex ſphæra materiali facile colligi poſſunt,
              <lb/>
            at que intelligi.</s>
            <s xml:id="echoid-s30151" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s30152" xml:space="preserve">IT AQVE hac ratione minores arcus parallelorum inter circulum inclinatum, & </s>
            <s xml:id="echoid-s30153" xml:space="preserve">ſemicirculu@
              <lb/>
              <note position="left" xlink:label="note-0472-02" xlink:href="note-0472-02a" xml:space="preserve">Quota hora an
                <lb/>
              te, & poſt meri
                <lb/>
              diem circulus
                <lb/>
              inclinatus pa-
                <lb/>
              rallelos Solis
                <lb/>
              interſecet, ae
                <lb/>
              proinde quot
                <lb/>
              horæ ſupra v-
                <lb/>
              tramque faci@
                <lb/>
              eiuſdem circu
                <lb/>
              li reperiantur.
                <lb/>
              & qua hora
                <lb/>
              Sol vtramqu@
                <lb/>
              illuminare in-
                <lb/>
              cipiat, aut deſi
                <lb/>
              nat, qua uia per
                <lb/>
              ſinu@ inquira-
                <lb/>
              tur.</note>
            Meridiani exiſtentem ſupra Horizontem, quos ponimus eſſe E K, H M, H R, inueſtigabimus. </s>
            <s xml:id="echoid-s30154" xml:space="preserve">Ex polo
              <lb/>
              <figure xlink:label="fig-0472-01" xlink:href="fig-0472-01a" number="310">
                <image file="0472-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0472-01"/>
              </figure>
              <note position="left" xlink:label="note-0472-03" xlink:href="note-0472-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0472-04" xlink:href="note-0472-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0472-05" xlink:href="note-0472-05a" xml:space="preserve">40</note>
            mundi arctico O, per puncta M, R, circuli maximi declinationum ducantur O M, O R, ſecantes Ae-
              <lb/>
            quatorem in P, & </s>
            <s xml:id="echoid-s30155" xml:space="preserve">T. </s>
            <s xml:id="echoid-s30156" xml:space="preserve">Et quoniam in triangulo ſphærico E I K, (cuius angulus E, rectus eſt, & </s>
            <s xml:id="echoid-s30157" xml:space="preserve">angu-
              <lb/>
            lus I, inclinationis circuli inclinati ad Meridianum, per propoſ. </s>
            <s xml:id="echoid-s30158" xml:space="preserve">27. </s>
            <s xml:id="echoid-s30159" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30160" xml:space="preserve">1. </s>
            <s xml:id="echoid-s30161" xml:space="preserve">notus, vnà c@m arcu Meri-
              <lb/>
            diani E I, inter planum, & </s>
            <s xml:id="echoid-s30162" xml:space="preserve">Aequatorem. </s>
            <s xml:id="echoid-s30163" xml:space="preserve">Cum enim ex coroll. </s>
            <s xml:id="echoid-s30164" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s30165" xml:space="preserve">28. </s>
            <s xml:id="echoid-s30166" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30167" xml:space="preserve">1. </s>
            <s xml:id="echoid-s30168" xml:space="preserve">arcus Meridiani in-
              <lb/>
            ter planum inclinatum, & </s>
            <s xml:id="echoid-s30169" xml:space="preserve">polum arcticum poſitus ſit notus, & </s>
            <s xml:id="echoid-s30170" xml:space="preserve">inter polum arcticum, & </s>
            <s xml:id="echoid-s30171" xml:space="preserve">Aequatorem
              <lb/>
            interijciatur quadrans Meridiani, cognitus quoque erit arcus Meridiani inter planum inclinatum, & </s>
            <s xml:id="echoid-s30172" xml:space="preserve">
              <lb/>
            Aequatorem. </s>
            <s xml:id="echoid-s30173" xml:space="preserve">Nam ſi planum ex parte boreali inclinatum ſit, infra tamen polum, erit arcus Meridiani
              <lb/>
              <note position="left" xlink:label="note-0472-06" xlink:href="note-0472-06a" xml:space="preserve">Quantus ſit at
                <lb/>
              cus Meridiani
                <lb/>
              inte r planum
                <lb/>
              inclinatum, &
                <lb/>
              Aequatorẽ ſu-
                <lb/>
              pra Horizon@ẽ,
                <lb/>
              quomodo in-
                <lb/>
              telligatur.</note>
              <note position="left" xlink:label="note-0472-07" xlink:href="note-0472-07a" xml:space="preserve">50</note>
            inter planum, & </s>
            <s xml:id="echoid-s30174" xml:space="preserve">Aequatorem ſupra Horizontem compoſitus ex quadrante, & </s>
            <s xml:id="echoid-s30175" xml:space="preserve">arcu Meridiani inter
              <lb/>
            polum arcticum, & </s>
            <s xml:id="echoid-s30176" xml:space="preserve">planum inclinatum: </s>
            <s xml:id="echoid-s30177" xml:space="preserve">Si autem planum inclinatum ſit ex parte boreali, ſupra tamen
              <lb/>
            polum, hoc eſt, ita tamen, vt arcus Meridiani inter Horizontem, & </s>
            <s xml:id="echoid-s30178" xml:space="preserve">planum inclinatum maior ſit altitu
              <lb/>
            dine poli ſupra Horizontem, vel ex parte auſtrali, ſupra tamen Aequatorem, hoc est, ita tamen, vt
              <lb/>
            arcus Meridiani inter Horizontem, & </s>
            <s xml:id="echoid-s30179" xml:space="preserve">planum inclinatum maior ſit altitudine Aequatoris, relinquetur
              <lb/>
            arcus Meridiani inter planum & </s>
            <s xml:id="echoid-s30180" xml:space="preserve">Aequatorem, ſi arcus Meridiani inter planum, & </s>
            <s xml:id="echoid-s30181" xml:space="preserve">polum arcticum
              <lb/>
            ex quadrante auferatur: </s>
            <s xml:id="echoid-s30182" xml:space="preserve">Si denique planum inclinatum ſit ex parte auſtrali, ſed infra Aequatorem, hoc
              <lb/>
            eſt, ſed ar cus Meridiani inter planum at que Horizontem minor ſit altitudine Aequatoris, habebitur ar
              <lb/>
            cus Meridiani inter planum & </s>
            <s xml:id="echoid-s30183" xml:space="preserve">Aequatorem, ſi quadr ans ex arcu Meridiani inter planum, & </s>
            <s xml:id="echoid-s30184" xml:space="preserve">polum ar-
              <lb/>
            cticum detrabatur, vt perſpicuum eſt) per propoſ. </s>
            <s xml:id="echoid-s30185" xml:space="preserve">18. </s>
            <s xml:id="echoid-s30186" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30187" xml:space="preserve">4. </s>
            <s xml:id="echoid-s30188" xml:space="preserve">Ioan. </s>
            <s xml:id="echoid-s30189" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s30190" xml:space="preserve">de triangulis, vel per pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s30191" xml:space="preserve">14. </s>
            <s xml:id="echoid-s30192" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s30193" xml:space="preserve">1. </s>
            <s xml:id="echoid-s30194" xml:space="preserve">Gebri, vel per propoſ. </s>
            <s xml:id="echoid-s30195" xml:space="preserve">42. </s>
            <s xml:id="echoid-s30196" xml:space="preserve">noſtrorum triangulorum ſphæricorum, eſt, vt ſinus anguli E I </s>
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