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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[161.] I. Sole exiſtente in principio ♈.
[162.] II. Sole exiſtente in principio ♎.
[163.] III. Sole exiſtente in principio ♋.
[164.] IIII. Sole exiſtente in principio ♑.
[165.] Arcus ſemidiurni in initijs ſignorum, ad latitudinem grad. 42.
[166.] VI. Mediationes cœli, & anguli terræ, eorumq́; declinationes, orientibus 12. ſignorum Zodiaci initiis, ad latitudinem grad. 42.
[167.] VII. Puncta Eclipticæ in circulo horę 6. conſtituta, eorumq́ue declinationes, orientibus 12. ſignorum Zodiaci principijs, ad latitudinem grad. 42.
[168.] VIII. Puncta Eclipticæ in circulo horę 11. exiſtentia, eorumq́; declinationes, cum principia 12. ſignorum Zodiaci oriuntur, ad latitudinem grad. 42.
[169.] SCHOLIVM.
[170.] SEQVVNTVR TABELLÆ.
[171.] PROBLEMA. 10. PROPOSITIO 10.
[172.] SCHOLIVM.
[173.] PROBLEMA. 11. PROPOSITIO 11.
[174.] SCHOLIVM.
[175.] PROBLEMA 12. PROPOSITIO 12.
[176.] SCHOLIVM.
[177.] DE HOROLOGIIS VERTICALIBVS. PROBLEMA 13. PROPOSITIO 13.
[178.] SCHOLIVM.
[179.] PROBLEMA 14. PROPOSITIO 14.
[180.] SCHOLIVM.
[181.] PROBLEMA 15. PROPOSITIO 15.
[182.] PROBLEMA. 16. PROPOSITIO 16.
[183.] SCHOLIVM.
[184.] PROBLEMA 17. PROPOSITIO 17.
[185.] PROBLEMA 18. PROPOSITIO 18.
[186.] SCHOLIVM.
[187.] PROBLEMA 19. PROPOSITIO 19.
[188.] PROBLEMA 20. PROPOSITIO 20.
[189.] SCHOLIVM.
[190.] PROBLEMA 21. PROPOSITIO 21.
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        <div xml:id="echoid-div652" type="section" level="1" n="169">
          <head xml:id="echoid-head172" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s12149" xml:space="preserve">ALIOMODO ſigna aſcendentia e@
              <lb/>
              <note position="left" xlink:label="note-0206-01" xlink:href="note-0206-01a" xml:space="preserve">Conſtructi@
                <lb/>
              duatum figu-
                <lb/>
              rarum ex An-
                <lb/>
              drea Schonero@
                <lb/>
              per quas ſigna
                <unsure/>
                <lb/>
              aſcendentia de
                <unsure/>
              -
                <lb/>
              ſcribuntur.
                <unsure/>
              </note>
              <figure xlink:label="fig-0206-01" xlink:href="fig-0206-01a" number="145">
                <image file="0206-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0206-01"/>
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            Andrea Schonero deſcribemus hac ratione.
              <lb/>
            </s>
            <s xml:id="echoid-s12150" xml:space="preserve">Deſcribatur circulus A B C D, cuius cen-
              <lb/>
            trum E, & </s>
            <s xml:id="echoid-s12151" xml:space="preserve">duæ diametri ad rectos angu-
              <lb/>
            los ſe ſecantes A C, B D. </s>
            <s xml:id="echoid-s12152" xml:space="preserve">Sumantur de-
              <lb/>
            inde arcus A F, C G, maximæ declina-
              <lb/>
            tioni Solis æquales, & </s>
            <s xml:id="echoid-s12153" xml:space="preserve">per F, G, ex B,
              <lb/>
            rectæ emiſſæ ſecent rectam AC, productam
              <lb/>
              <note position="left" xlink:label="note-0206-02" xlink:href="note-0206-02a" xml:space="preserve">10</note>
            in H, I. </s>
            <s xml:id="echoid-s12154" xml:space="preserve">Sumantur rurſus arcus D K, B L,
              <lb/>
            declinationi maximæ Solis duplicatæ æqua-
              <lb/>
            les, & </s>
            <s xml:id="echoid-s12155" xml:space="preserve">per K, L, rectæ ex B, eductæ ſecent
              <lb/>
            eandem A C, productam in M, N. </s>
            <s xml:id="echoid-s12156" xml:space="preserve">Atque
              <lb/>
            ex M, centro, interuallo M H, vel M I,
              <lb/>
            (Nam recta H I, in M, bifariam diuidi-
              <lb/>
            tur) circulus deſcribatur H B I D, qui per
              <lb/>
            B, D, tranſibit. </s>
            <s xml:id="echoid-s12157" xml:space="preserve">I am diuiſo circulo A B-
              <lb/>
            C D, in partes 12. </s>
            <s xml:id="echoid-s12158" xml:space="preserve">æquales, iungantur quæ-
              <lb/>
            libet bina puncta à D, vel B, æqualiter re-
              <lb/>
              <note position="left" xlink:label="note-0206-03" xlink:href="note-0206-03a" xml:space="preserve">20</note>
            mota lineis rectis ſecantibus rectam B D,
              <lb/>
            in punctis, per quæ ſi ex N, rectæ ducantur
              <lb/>
            ſecantes circulum H B I D, in punctis, & </s>
            <s xml:id="echoid-s12159" xml:space="preserve">
              <lb/>
            per hæc rurſus rectæ ex E, emittantur, erũt
              <lb/>
            hæ lineæ ſignorum, ita E D, ſit ♈; </s>
            <s xml:id="echoid-s12160" xml:space="preserve">E C,
              <lb/>
            ♋; </s>
            <s xml:id="echoid-s12161" xml:space="preserve">E B, ♎ E A, ♑; </s>
            <s xml:id="echoid-s12162" xml:space="preserve">& </s>
            <s xml:id="echoid-s12163" xml:space="preserve">c. </s>
            <s xml:id="echoid-s12164" xml:space="preserve">Per hanc
              <lb/>
            igitur figuram inueniemus intropicis ♋, & </s>
            <s xml:id="echoid-s12165" xml:space="preserve">
              <lb/>
            ♑, puncta, per quæ lineæ ſignorum aſcen
              <lb/>
            dentium duci debent, vt docebimus.</s>
            <s xml:id="echoid-s12166" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12167" xml:space="preserve">DESCRIBATVR rurſum circulus
              <lb/>
              <note position="left" xlink:label="note-0206-04" xlink:href="note-0206-04a" xml:space="preserve">30</note>
            A B C D, cuius centrum E, & </s>
            <s xml:id="echoid-s12168" xml:space="preserve">duæ diame-
              <lb/>
            tri ſeſe ad angulos rectos ſecãtes A C, B D,
              <lb/>
              <figure xlink:label="fig-0206-02" xlink:href="fig-0206-02a" number="146">
                <image file="0206-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0206-02"/>
              </figure>
              <note position="left" xlink:label="note-0206-05" xlink:href="note-0206-05a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0206-06" xlink:href="note-0206-06a" xml:space="preserve">50</note>
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