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

Table of figures

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            <s xml:id="echoid-s15279" xml:space="preserve">
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            lorum Horizontis, quos Almucantarath dicunt, Deinde ex punctis diuiſionum vtriuſque qua-
              <lb/>
            drantis per centrum E, ducantur rectæ lineæ, vt fiant triangula per axem in conis, quorum baſes
              <lb/>
            ſunt paralleli Horizontis tam infra Horizontem, quàm ſupra, vertex autem communis centrum
              <lb/>
              <figure xlink:label="fig-0244-01" xlink:href="fig-0244-01a" number="169">
                <image file="0244-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-01"/>
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            mũdi E. </s>
            <s xml:id="echoid-s15280" xml:space="preserve">Meridianus enim A B C D,
              <lb/>
            dictos conos ſecans per eorum axem
              <lb/>
            A C, facit, per propoſ. </s>
            <s xml:id="echoid-s15281" xml:space="preserve">3. </s>
            <s xml:id="echoid-s15282" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s15283" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15284" xml:space="preserve">Apol-
              <lb/>
            lonii, triangula per axem. </s>
            <s xml:id="echoid-s15285" xml:space="preserve">Abſcin-
              <lb/>
            datur quoque ex B D, vtrinque à pun
              <lb/>
            cto E, recta E G, gnomoni æqualis,
              <lb/>
            & </s>
            <s xml:id="echoid-s15286" xml:space="preserve">per G, ipſi A C, parallela agatur
              <lb/>
              <note position="left" xlink:label="note-0244-01" xlink:href="note-0244-01a" xml:space="preserve">10</note>
            G O, cõmunis videlicet ſectio plani
              <lb/>
            horologii, & </s>
            <s xml:id="echoid-s15287" xml:space="preserve">Meridiani, ſecans latera
              <lb/>
            triangulorum per axem in K, L, M,
              <lb/>
            N, punctis, vt ſint diametri conica-
              <lb/>
            rum ſectionum K O, L, M O, N O.
              <lb/>
            </s>
            <s xml:id="echoid-s15288" xml:space="preserve">Si igitur puncta K, L, M, N, ſumpta
              <lb/>
            in hoc Analemmate ex puncto G, in
              <lb/>
            lineam meridianam vtriuſque horo-
              <lb/>
            logii transferantur infra horizonta-
              <lb/>
            lem lineam ex loco ſtyli G, & </s>
            <s xml:id="echoid-s15289" xml:space="preserve">circa
              <lb/>
              <note position="left" xlink:label="note-0244-02" xlink:href="note-0244-02a" xml:space="preserve">20</note>
            lineam meridianam dictæ conicæ ſe-
              <lb/>
            ctiones deſcribantur, per propoſ. </s>
            <s xml:id="echoid-s15290" xml:space="preserve">8.
              <lb/>
            </s>
            <s xml:id="echoid-s15291" xml:space="preserve">ſuperioris lib tranſeuntes per pun-
              <lb/>
            cta K, L, M, N, (quæ quidem coni-
              <lb/>
            cæ ſectiones ſunt hyperbolæ, per pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s15292" xml:space="preserve">6, antecedentis lib. </s>
            <s xml:id="echoid-s15293" xml:space="preserve">cum Verticalis per polos parallelorum Horizontis incedens ipſos ſecet)
              <lb/>
            ita vt earum cornua à linea horizontali ſemper magis ac magis auertantur, deſcripti erunt pa-
              <lb/>
            ralleli Horizontis, vt in figura præcedentis propoſ. </s>
            <s xml:id="echoid-s15294" xml:space="preserve">cernitur.</s>
            <s xml:id="echoid-s15295" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15296" xml:space="preserve">ALITER. </s>
            <s xml:id="echoid-s15297" xml:space="preserve">Deſcripto quadrante A B C, cuiuslibet magnitudinis, diuiſoq́; </s>
            <s xml:id="echoid-s15298" xml:space="preserve">in 90. </s>
            <s xml:id="echoid-s15299" xml:space="preserve">gradus, vel
              <lb/>
              <note position="left" xlink:label="note-0244-03" xlink:href="note-0244-03a" xml:space="preserve">Alia deſcriptio
                <lb/>
              parallelor@ Ho
                <lb/>
              rizontis in Ver
                <lb/>
              ticali horolo-
                <lb/>
              gio.</note>
            in pauciores partes, pro numero parallelorum de-
              <lb/>
              <note position="left" xlink:label="note-0244-04" xlink:href="note-0244-04a" xml:space="preserve">30</note>
              <figure xlink:label="fig-0244-02" xlink:href="fig-0244-02a" number="170">
                <image file="0244-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-02"/>
              </figure>
            ſcribendorum, emittantur ex centro A, per puncta
              <lb/>
            diuiſionum lineæ rectæ, quæ reſpondebunt radiis
              <lb/>
            parallelorũ Horizontis in quadrante E B C, præce-
              <lb/>
            dentis figuræ contentis, initio facto à recta A B, ita
              <lb/>
            vt radius proximus rectæ A B, ſit paralleli Horizon
              <lb/>
            tis grad. </s>
            <s xml:id="echoid-s15300" xml:space="preserve">15. </s>
            <s xml:id="echoid-s15301" xml:space="preserve">ſequens 30 &</s>
            <s xml:id="echoid-s15302" xml:space="preserve">c vt numeri declarant.</s>
            <s xml:id="echoid-s15303" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15304" xml:space="preserve">POST hæc ex horologio præcedentis propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s15305" xml:space="preserve">ſumantur interualla inter centrum A, & </s>
            <s xml:id="echoid-s15306" xml:space="preserve">puncta,
              <lb/>
            quibus Verticales lineæ horizontalem lineam inter-
              <lb/>
            ſecant, eaq́; </s>
            <s xml:id="echoid-s15307" xml:space="preserve">ex A, in@rectam A B, huius figuræ trans-
              <lb/>
              <note position="left" xlink:label="note-0244-05" xlink:href="note-0244-05a" xml:space="preserve">40</note>
            ferantur, aſcriptis iuxta A B, numeris Verticalium
              <lb/>
            linearum, ſignatisq́; </s>
            <s xml:id="echoid-s15308" xml:space="preserve">punctis, quæ dicta interualla
              <lb/>
            terminant. </s>
            <s xml:id="echoid-s15309" xml:space="preserve">Poſtremo per puncta in recta A B, nota-
              <lb/>
            ta agantur ipſi A C, parallelæ, vel perpendiculares
              <lb/>
            ad A B, ducantur. </s>
            <s xml:id="echoid-s15310" xml:space="preserve">Quod facile fiet, ſi ipſi A B, pa-
              <lb/>
            rallela aliqua ducatur, & </s>
            <s xml:id="echoid-s15311" xml:space="preserve">in hanc puncta lineæ
              <lb/>
            A B, transferantur, initio facto à recta A C, &</s>
            <s xml:id="echoid-s15312" xml:space="preserve">c. </s>
            <s xml:id="echoid-s15313" xml:space="preserve">Exem
              <lb/>
            pli gratia, ex figura præcedentis propoſ. </s>
            <s xml:id="echoid-s15314" xml:space="preserve">interual-
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            lum A K, transferatur in rectam A B, huius figuræ,
              <lb/>
            vſque ad punctum E, apponendo numerum 30, & </s>
            <s xml:id="echoid-s15315" xml:space="preserve">per E, ipſi A C, parallela agatur E F, &</s>
            <s xml:id="echoid-s15316" xml:space="preserve">c.</s>
            <s xml:id="echoid-s15317" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
          <p>
            <s xml:id="echoid-s15318" xml:space="preserve">HAC figura in hunc modum parata, deſcribentur hac ratione paralleli Horizontis, id eſt, ar-
              <lb/>
            cus altitudinum Solis. </s>
            <s xml:id="echoid-s15319" xml:space="preserve">Interualla linearum ipſi A C, æquidiſtantium inter rectam A B, & </s>
            <s xml:id="echoid-s15320" xml:space="preserve">radiũ
              <lb/>
            v. </s>
            <s xml:id="echoid-s15321" xml:space="preserve">g. </s>
            <s xml:id="echoid-s15322" xml:space="preserve">paralleli Horizontis grad. </s>
            <s xml:id="echoid-s15323" xml:space="preserve">15. </s>
            <s xml:id="echoid-s15324" xml:space="preserve">comprehenſa transferantur vtrinque ex punctis, in quibus ho-
              <lb/>
            rizontalis linea in figura præcedentis propoſ. </s>
            <s xml:id="echoid-s15325" xml:space="preserve">à lineis Verticalibus ſecatur, in lineas Vertica@es cor
              <lb/>
            reſpondentes numeris in recta A B, huius figuræ notatis, ſignando puncta in Verticalibus lineis.
              <lb/>
            </s>
            <s xml:id="echoid-s15326" xml:space="preserve">Verbi gratia, rectæ E F, capiatur æqualis K L, in vtraque Verticali linea grad. </s>
            <s xml:id="echoid-s15327" xml:space="preserve">30. </s>
            <s xml:id="echoid-s15328" xml:space="preserve">tam infra horizon
              <lb/>
            talem lineam, quàm ſupra, & </s>
            <s xml:id="echoid-s15329" xml:space="preserve">ſic de cæteris. </s>
            <s xml:id="echoid-s15330" xml:space="preserve">Nam ſi hæc puncta appoſitè coniungantur linea qua-
              <lb/>
            dam curua, deſcriptus erit arcus, vel parallelus Horizontis gr. </s>
            <s xml:id="echoid-s15331" xml:space="preserve">15. </s>
            <s xml:id="echoid-s15332" xml:space="preserve">tam in auſtrali horologio, quàm
              <lb/>
            in boreali, quod quidem abſcinditur à linea horizontali, vt oſtendimus. </s>
            <s xml:id="echoid-s15333" xml:space="preserve">Eodem modo paralleli
              <lb/>
            reliqui Horizontis deſcribentur, ſi rectæ inter lineam A B, & </s>
            <s xml:id="echoid-s15334" xml:space="preserve">radios parallelorum Horizontis in-
              <lb/>
            terceptæ in lineas Verticales horologii correſpondentes ex linea horizontali vtrinque </s>
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