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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        <div xml:id="echoid-div1088" type="section" level="1" n="257">
          <p style="it">
            <s xml:id="echoid-s21487" xml:space="preserve">
              <pb o="320" file="0336" n="336" rhead="GNOMONICES"/>
            cto horologio deſumem{us}, hic enim altitudinem poli ſupra planum declinans oſtendit, vt ex dictis con-
              <lb/>
            ſtat, cum contineatur linea ſtyli, & </s>
            <s xml:id="echoid-s21488" xml:space="preserve">axe mundi. </s>
            <s xml:id="echoid-s21489" xml:space="preserve">In hoc autem Analemmate ducendi erunt radij ſigno-
              <lb/>
            rum, vt in conis habeam{us} triangula per axem, atque adeo diametros conicarum ſectionum, & </s>
            <s xml:id="echoid-s21490" xml:space="preserve">reliqua
              <lb/>
            abſoluenda, vt ad finem ſcholij propoſ. </s>
            <s xml:id="echoid-s21491" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21492" xml:space="preserve">ſuperioris libri dixim{us}.</s>
            <s xml:id="echoid-s21493" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s21494" xml:space="preserve">QVOD verò ad poſteriorem rationem pertinet, ita negotium abſoluem{us}. </s>
            <s xml:id="echoid-s21495" xml:space="preserve">In radium Aequatoris
              <lb/>
            I G, transferantur ex I, omnia interualla inter centrum Z, & </s>
            <s xml:id="echoid-s21496" xml:space="preserve">hor{as} in æquinoctiali linea H O, dicti ho-
              <lb/>
            rologii cõprehenſa, imprimendo puncta in ipſo radio Aequatoris. </s>
            <s xml:id="echoid-s21497" xml:space="preserve">Deinde in axe I A, abſcindatur recta
              <lb/>
            I A, æqu@@@ portioni axis Q P, in horologio eodem, & </s>
            <s xml:id="echoid-s21498" xml:space="preserve">per A, radio Aequatoris I G, parallela agatur
              <lb/>
            A B, in quam eodem modo à puncto A, transferantur ſpatia inter aliud centrum a, & </s>
            <s xml:id="echoid-s21499" xml:space="preserve">hor{as} in æqui-
              <lb/>
            noctiali linea Y V, incluſa, imprimendo quoque puncta in A B. </s>
            <s xml:id="echoid-s21500" xml:space="preserve">Postremo per bina ſemper puncta reſpon
              <lb/>
              <note position="left" xlink:label="note-0336-01" xlink:href="note-0336-01a" xml:space="preserve">10</note>
            dentia in rectis I G, A B, rectæ lineę ductę dabunt horari{as} line{as}. </s>
            <s xml:id="echoid-s21501" xml:space="preserve">Nam vt in prędicto ſcholio pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s21502" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21503" xml:space="preserve">ſuperioris libri oſtendim{us}, dictæ lineæ horarię tam per puncta inuent a in radio Aequatoris I G,
              <lb/>
            quàm in parallela A B, quę inſtar eſt alteri{us} cuiuſdam radii Aequatoris, ducendę ſunt. </s>
            <s xml:id="echoid-s21504" xml:space="preserve">Si igitur inter-
              <lb/>
            ualla harum linearum inter radium Aequatoris I G, & </s>
            <s xml:id="echoid-s21505" xml:space="preserve">radios aliorum ſignorum poſita transfer antur
              <lb/>
            in reſpondentes line{as} hor ari{as} horologij ab ipſa ęquinoctiali linea H O, hac lege ſeruata, vt ducta recta
              <lb/>
            ex I, ad proximam lineam, quæ lineę ſtyli in horologio reſpondet, (Eſt enim interuallum quoque lineę ſty-
              <lb/>
            li inter centrum horologij & </s>
            <s xml:id="echoid-s21506" xml:space="preserve">æquinoctialem lineam transferendum ex horologio in radium Aequatoris)
              <lb/>
            perpendiculari pro stylo, interualla illa linearum horariarum inter radios ſignorum ex illa parte, in quã
              <lb/>
            styl{us} ex I, cadit, transferantur à linea ęquinoctiali ſurſum verſ{us}, &</s>
            <s xml:id="echoid-s21507" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21508" xml:space="preserve">Demonſtratio huius rei ex ſu-
              <lb/>
            perioribus colligitur, vt in dicto ſcholio propoſ. </s>
            <s xml:id="echoid-s21509" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21510" xml:space="preserve">præcedentis libri monuim{us}.</s>
            <s xml:id="echoid-s21511" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
        </div>
        <div xml:id="echoid-div1094" type="section" level="1" n="258">
          <head xml:id="echoid-head267" xml:space="preserve">PROBLEMA 3. PROPOSITIO 3.</head>
          <p>
            <s xml:id="echoid-s21512" xml:space="preserve">PARALLELOS arcuum diurnorum in eodem horologio decli
              <lb/>
            nante deſignare.</s>
            <s xml:id="echoid-s21513" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s21514" xml:space="preserve">NON differt horum deſcriptio à deſcriptione parallelorum, ſeu arcuum ſignorum. </s>
            <s xml:id="echoid-s21515" xml:space="preserve">Vnde
              <lb/>
              <note position="left" xlink:label="note-0336-03" xlink:href="note-0336-03a" xml:space="preserve">Deſcripti@ ar-
                <lb/>
              cuum diurno-
                <lb/>
              rum in eodem
                <lb/>
              horologio de-
                <lb/>
              clinante à Ver
                <lb/>
              ticali.</note>
            hic vtemur præceptis in præcedenti propoſ. </s>
            <s xml:id="echoid-s21516" xml:space="preserve">traditis, dummodo pro parallelis ſignorum accipia-
              <lb/>
            mus parallelos arcuum diurnorum, vt in ſuperioribus horologiis, &</s>
            <s xml:id="echoid-s21517" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21518" xml:space="preserve">Paralleios igitur arcuum
              <lb/>
              <note position="left" xlink:label="note-0336-04" xlink:href="note-0336-04a" xml:space="preserve">30</note>
            diurnorum in eodem horologio declinante deſignauimus. </s>
            <s xml:id="echoid-s21519" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s21520" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1096" type="section" level="1" n="259">
          <head xml:id="echoid-head268" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s21521" xml:space="preserve">PER hoſce arc{us} diurnos aperitur nobis via perfacilis, qua ducere poſſim{us} line{as} illas horari{as},
              <lb/>
              <note position="left" xlink:label="note-0336-05" xlink:href="note-0336-05a" xml:space="preserve">Qua ratione be
                <lb/>
              neficio arcuum
                <lb/>
              diurnorum illę
                <lb/>
              horæ deſcriban
                <lb/>
              tur, quę vix æ-
                <lb/>
              quinoctialem
                <lb/>
              lineam ſecant.</note>
            quæ vix æquinoctialem lineam ſecant, & </s>
            <s xml:id="echoid-s21522" xml:space="preserve">ducendę ſunt ex illa parte, vbi æquinoctialis linea meridianam
              <lb/>
            lineam infra lineam horizontalem ſecat, cuiuſmodi ſunt horæ à meridie in horologio declinante à meridie
              <lb/>
            in ortum, quale nos conſtruxim{us}; </s>
            <s xml:id="echoid-s21523" xml:space="preserve">in horologio verò declinante à meridie in occaſum horæ à media no-
              <lb/>
            cte. </s>
            <s xml:id="echoid-s21524" xml:space="preserve">Hę enim vix ęquinoctialem lineam ſecant niſi in remotiſſimis punctis, ita vt difficilis admodum red-
              <lb/>
            datur earum delineatio. </s>
            <s xml:id="echoid-s21525" xml:space="preserve">Vtemur ergo hac arte. </s>
            <s xml:id="echoid-s21526" xml:space="preserve">Sit, exempli gratia, deſcribenda hora 3. </s>
            <s xml:id="echoid-s21527" xml:space="preserve">à meridie.
              <lb/>
            </s>
            <s xml:id="echoid-s21528" xml:space="preserve">
              <note position="left" xlink:label="note-0336-06" xlink:href="note-0336-06a" xml:space="preserve">40</note>
            Quoniam igitur in arcu diurno horarum 6. </s>
            <s xml:id="echoid-s21529" xml:space="preserve">Sol occidit hora 3. </s>
            <s xml:id="echoid-s21530" xml:space="preserve">à meridie, deſcribemus ex centro horolo-
              <lb/>
            gii C, ad interuallum lineę horę 3. </s>
            <s xml:id="echoid-s21531" xml:space="preserve">à meridie in figura radiorum præcedentis propoſ. </s>
            <s xml:id="echoid-s21532" xml:space="preserve">inter C, & </s>
            <s xml:id="echoid-s21533" xml:space="preserve">radium
              <lb/>
            horarum 6. </s>
            <s xml:id="echoid-s21534" xml:space="preserve">comprehenſę, arcum circuli in parte horologii pomeridiana, notabim{us}{q́ue} punctum, vbi hori-
              <lb/>
            zontalem lineam ſecat. </s>
            <s xml:id="echoid-s21535" xml:space="preserve">Nam per illud ducenda eſt hora 3. </s>
            <s xml:id="echoid-s21536" xml:space="preserve">à meridie, cum per illud punctum arcus diur-
              <lb/>
            nus horarum 6. </s>
            <s xml:id="echoid-s21537" xml:space="preserve">tranſeat, & </s>
            <s xml:id="echoid-s21538" xml:space="preserve">in eodem Sol occidat.</s>
            <s xml:id="echoid-s21539" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s21540" xml:space="preserve">EODEM modo, ſi deſcribam{us} in parte horologii antemeridiana arcum ad interuallum lineæ ho-
              <lb/>
            ræ 9. </s>
            <s xml:id="echoid-s21541" xml:space="preserve">qua Sol oritur, inter C, & </s>
            <s xml:id="echoid-s21542" xml:space="preserve">radium horæ 6. </s>
            <s xml:id="echoid-s21543" xml:space="preserve">comprehenſæ, ducemus horam 9. </s>
            <s xml:id="echoid-s21544" xml:space="preserve">à media nocte. </s>
            <s xml:id="echoid-s21545" xml:space="preserve">Sic etiã
              <lb/>
            beneficio arcus diurni horarum 8. </s>
            <s xml:id="echoid-s21546" xml:space="preserve">deſignabim{us} horam 4. </s>
            <s xml:id="echoid-s21547" xml:space="preserve">à meridie, & </s>
            <s xml:id="echoid-s21548" xml:space="preserve">8. </s>
            <s xml:id="echoid-s21549" xml:space="preserve">à media nocte, &</s>
            <s xml:id="echoid-s21550" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21551" xml:space="preserve">Non ali
              <lb/>
            ter ſemihoras ducem{us}, ſi accipiamus arcus diurnos horarum imparium. </s>
            <s xml:id="echoid-s21552" xml:space="preserve">Vt ſi ducenda eſſet linea horæ
              <lb/>
            3 {1/2}. </s>
            <s xml:id="echoid-s21553" xml:space="preserve">accipiend{us} foret radius horarum 7. </s>
            <s xml:id="echoid-s21554" xml:space="preserve">quia cum dies continet horas 7. </s>
            <s xml:id="echoid-s21555" xml:space="preserve">Sol oritur hora 8 {1/2}. </s>
            <s xml:id="echoid-s21556" xml:space="preserve">post me-
              <lb/>
              <note position="left" xlink:label="note-0336-07" xlink:href="note-0336-07a" xml:space="preserve">50</note>
            diam noctem, & </s>
            <s xml:id="echoid-s21557" xml:space="preserve">occidit hora 3 {1/2}. </s>
            <s xml:id="echoid-s21558" xml:space="preserve">à meridie, & </s>
            <s xml:id="echoid-s21559" xml:space="preserve">ita de cæteris. </s>
            <s xml:id="echoid-s21560" xml:space="preserve">Idem in ſequentibus horologiis obſer-
              <lb/>
            uandum erit.</s>
            <s xml:id="echoid-s21561" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s21562" xml:space="preserve">SED quoniam in figuaradiorum illæ horæ, quæ æquinoctialem non ſecant, niſi in punctis remotiſſi-
              <lb/>
            mis, duci non poſſunt, niſi vti velimus praxi Andreæ Schoneri; </s>
            <s xml:id="echoid-s21563" xml:space="preserve">deſcribendi erunt illi arcus diurni, in qui-
              <lb/>
            bus Sol propoſitis horis occidit vel oritur, ex Analẽmate, vt in principio propoſ. </s>
            <s xml:id="echoid-s21564" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21565" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s21566" xml:space="preserve">docuimus.</s>
            <s xml:id="echoid-s21567" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1099" type="section" level="1" n="260">
          <head xml:id="echoid-head269" xml:space="preserve">PROBLEMA 4. PROPOSITIO 4.</head>
          <p>
            <s xml:id="echoid-s21568" xml:space="preserve">VERTICALES circulos in eodem declinante horologio
              <lb/>
            deſcribere.</s>
            <s xml:id="echoid-s21569" xml:space="preserve"/>
          </p>
        </div>
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