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 contents

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[341.] III. SOLE EXISTENTE IN PRINCIPIO ♋.
[342.] IIII. SOLE EXISTENTE IN PRINCIPIO ♑.
[343.] PROBLEMA 2. PROPOSITIO 2.
[344.] PROBLEMA 3. PROPOSITIO 3.
[345.] PROBLEMA 4. PROPOSITIO 4.
[346.] PROBLEMA 5. PROPOSITIO 5.
[347.] PROBLEMA 6. PROPOSITIO 6.
[348.] PROBLEMA 7. PROPOSITIO 7.
[349.] PROBLEMA 8. PROPOSITIO 8.
[350.] PROBLEMA 9. PROPOSITIO 9.
[351.] PROBLEMA 10. PROPOSITIO 10.
[352.] PROBLEMA 11. PROPOSITIO 11.
[353.] SCHOLIVM.
[354.] PROBLEMA 12. PROPOSITIO 12.
[355.] SCHOLIVM.
[356.] PROBLEMA 13. PROPOSITIO 13.
[357.] PROBLEMA 14. PROPOSITIO 14.
[358.] SCHOLIVM.
[359.] FINIS QV ARTI LIBRI.
[360.] GNOMONICES LIBER QVINTVS.
[361.] AVCTORE
[362.] CHRISTOPHORO CLAVIO BAMBERGENSI SOCIETATIS IESV.
[363.] PROBLEMA 1. PROPOSITIO 1.
[364.] SCHOLIVM.
[365.] SEQVVNTVR TABELLAE.
[366.] I. Altitudines Solis ſupra Horizontem pro horis à mer. & med. noc. ſupputatæ, ad latitudinem Grad. 42.
[367.] II. Altitudines Solis ſupra Horizontem pro horis ab occaſu Solis ſup-putatæ, ad latitudinem Grad. 42.
[368.] III. Altitudines Solis ſupra faciem auſtralem Verticalis circuli pro horis à mer. & med. noc. ſupputatæ, ad latitudinem Grad. 42.
[369.] IIII. Altitudines Solis ſupra faciem borealem Verticalis circuli pro horis à mer. & med. noc. ſupputatæ, ad latitudinem Grad. 42.
[370.] V. Altitudines Solis ſupra ſaciem auſtralem Verticalis circuli pro horis ab occaſu Solis ſupputatæ, ad latitudinem Grad. 42.
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            <s xml:id="echoid-s21886" xml:space="preserve">
              <pb o="328" file="0344" n="344" rhead="GNOMONICES"/>
            bra ſtyli cadit, cum Sol in ſignorum initijs exiſtens oritur. </s>
            <s xml:id="echoid-s21887" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s21888" xml:space="preserve">ſigna Zodiaci aſcendentia in eo-
              <lb/>
            dem declinante horologio deſcripſimus. </s>
            <s xml:id="echoid-s21889" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s21890" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1118" type="section" level="1" n="267">
          <head xml:id="echoid-head276" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s21891" xml:space="preserve">HINC autem perſpicuè apparet ratio, cur in boreali horologio mutentur ſigna australia in borea-
              <lb/>
              <note position="left" xlink:label="note-0344-01" xlink:href="note-0344-01a" xml:space="preserve">G
                <unsure/>
              ut ſignorum
                <lb/>
              auſtralium ar
                <lb/>
              cus mutentur
                <lb/>
              in horologio
                <lb/>
              boreali in ar-
                <lb/>
              cus fignorum
                <lb/>
              borealium, &
                <lb/>
              contra.</note>
            lia, & </s>
            <s xml:id="echoid-s21892" xml:space="preserve">contra. </s>
            <s xml:id="echoid-s21893" xml:space="preserve">quoniam videlicet, quemadmodum radii latitudinum ſignorum auſtralium per centrum
              <lb/>
            E, ducti ſecant rectam K M, prope locum ſtyli, & </s>
            <s xml:id="echoid-s21894" xml:space="preserve">radii latitudinum ſignorum borealium eandem pro-
              <lb/>
            cul ab eodem, in horologio australi, it a in boreali radii latitudinum ſignorum borealium ſecant rectam
              <lb/>
            K M, prope ſtylum, & </s>
            <s xml:id="echoid-s21895" xml:space="preserve">radii latitudinum auſtralium ſignorum eandem procul ab eodem, vt perſpicuum
              <lb/>
              <note position="left" xlink:label="note-0344-02" xlink:href="note-0344-02a" xml:space="preserve">10</note>
            est ex figur a latitudinum ortiuarum.</s>
            <s xml:id="echoid-s21896" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s21897" xml:space="preserve">IAM verò ſigna aſcendentia ex doctrina Andreę Schoneri ita depingemus. </s>
            <s xml:id="echoid-s21898" xml:space="preserve">In prima figura ſcho-
              <lb/>
              <note position="left" xlink:label="note-0344-03" xlink:href="note-0344-03a" xml:space="preserve">Aſcendentia ſi
                <lb/>
              gna quomodo
                <lb/>
              ſecundum pra-
                <lb/>
              kim Andreæ
                <lb/>
              Schoneri de-
                <lb/>
              ſcribantur in
                <lb/>
              eodem horolo-
                <lb/>
              gio declinante
                <lb/>
              a Verticali.</note>
            lii propoſ. </s>
            <s xml:id="echoid-s21899" xml:space="preserve">9. </s>
            <s xml:id="echoid-s21900" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s21901" xml:space="preserve">(Repetiuimus autem hic duas priores figuras illius ſcholii, quoad interualla
              <lb/>
            & </s>
            <s xml:id="echoid-s21902" xml:space="preserve">angulos, quos ſignorum lineæ in centro E, faciunt, productis etiam illis lineis ſignorum vltra cen-
              <lb/>
            trum E, in ſecunda figura, quæ non habent ſibi reſpondentes lineas in directum coniunctas, quales ſunt
              <lb/>
              <note position="left" xlink:label="note-0344-04" xlink:href="note-0344-04a" xml:space="preserve">20</note>
              <figure xlink:label="fig-0344-01" xlink:href="fig-0344-01a" number="231">
                <image file="0344-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0344-01"/>
              </figure>
              <note position="left" xlink:label="note-0344-05" xlink:href="note-0344-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0344-06" xlink:href="note-0344-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0344-07" xlink:href="note-0344-07a" xml:space="preserve">50</note>
            illę, quę punctis ſunt diſtinctę, vt in dicto ſcholio monuimus) ex recta E D, vel E B, abſcindatur re-
              <lb/>
            cta E F, æqualis rectæ L M, quæ in horologio intercipitur inter centrum L, & </s>
            <s xml:id="echoid-s21903" xml:space="preserve">punctum M, vbi æqui-
              <lb/>
            noctialis linea, & </s>
            <s xml:id="echoid-s21904" xml:space="preserve">meridiana ſe interſecant; </s>
            <s xml:id="echoid-s21905" xml:space="preserve">& </s>
            <s xml:id="echoid-s21906" xml:space="preserve">in F, conſtituatur angulus E F G, æqualis angulo
              <lb/>
            L M D, quem in horologio a
              <unsure/>
            quinoctialis linea cum L M, recta efficit; </s>
            <s xml:id="echoid-s21907" xml:space="preserve">ea conditione tamen & </s>
            <s xml:id="echoid-s21908" xml:space="preserve">lege, vt
              <lb/>
            centro E, poſito in centro L, & </s>
            <s xml:id="echoid-s21909" xml:space="preserve">puncto F, in puncto M, recta F G, æquinoctiali lineæ congruat. </s>
            <s xml:id="echoid-s21910" xml:space="preserve">Dein-
              <lb/>
            de interualla rectæ F G, inter F, & </s>
            <s xml:id="echoid-s21911" xml:space="preserve">lineas ſignorum intercepta transferantur in lineam ęquinoctia-
              <lb/>
            lem ex puncto M, eo ordine, quem haberent, ſi recta F G, lineæ æquinoctiali congrueret, imprimendo
              <lb/>
            puncta in ipſa linea æquinoctiali. </s>
            <s xml:id="echoid-s21912" xml:space="preserve">Nam ſiex E, puncto interſectionis meridianæ lineę, & </s>
            <s xml:id="echoid-s21913" xml:space="preserve">horizonta-
              <lb/>
            lis per hæc puncta lineę æquinoctialis ducantur rectæ occultæ, ſecabuntur ambo tropici in punctis, per
              <lb/>
            quæ ducenda erunt aſcendentia ſigna. </s>
            <s xml:id="echoid-s21914" xml:space="preserve">Non erit autem difficile, quæ puncta quibus ſignis </s>
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