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

< >
[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.
< >
page |< < (184) of 677 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div645" type="section" level="1" n="167">
          <p>
            <s xml:id="echoid-s12095" xml:space="preserve">
              <pb o="184" file="0204" n="204" rhead="GNOMONICES"/>
            tem, puta ſeptimam, octauam, nonam, decimam, & </s>
            <s xml:id="echoid-s12096" xml:space="preserve">vndecimam, eſſe ante meridiem, has verò, nem
              <lb/>
            pe primam, ſecundam, tertiam, quartam, & </s>
            <s xml:id="echoid-s12097" xml:space="preserve">quintam poſt meridiem. </s>
            <s xml:id="echoid-s12098" xml:space="preserve">Puncta enim in circulis iſta-
              <lb/>
            rum horarum exiſtentia tantum inquirimus. </s>
            <s xml:id="echoid-s12099" xml:space="preserve">Nam in horis oppoſitis conſtituuntur puncta il-
              <lb/>
            lis oppoſita.</s>
            <s xml:id="echoid-s12100" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12101" xml:space="preserve">EXEMPLVM. </s>
            <s xml:id="echoid-s12102" xml:space="preserve">Sit propoſitum inuenire punctum Eclipticæ in circulo horæ primæ poſt
              <lb/>
              <note position="left" xlink:label="note-0204-01" xlink:href="note-0204-01a" xml:space="preserve">Exemplum.</note>
            meridiem exiſtens, aſcendente principio ♋. </s>
            <s xml:id="echoid-s12103" xml:space="preserve">Arcus Aequatoris inter circulos horæ ſextæ ante me
              <lb/>
            ridiem, & </s>
            <s xml:id="echoid-s12104" xml:space="preserve">primæ poſt meridiem, continet horas 7. </s>
            <s xml:id="echoid-s12105" xml:space="preserve">hoc eſt, grad. </s>
            <s xml:id="echoid-s12106" xml:space="preserve">105. </s>
            <s xml:id="echoid-s12107" xml:space="preserve">cum cuilibet horæ conue-
              <lb/>
            niant grad. </s>
            <s xml:id="echoid-s12108" xml:space="preserve">15. </s>
            <s xml:id="echoid-s12109" xml:space="preserve">Aſcenſio obliqua principij ♋, eſt grad. </s>
            <s xml:id="echoid-s12110" xml:space="preserve">66, Min. </s>
            <s xml:id="echoid-s12111" xml:space="preserve">57. </s>
            <s xml:id="echoid-s12112" xml:space="preserve">ad latitudinem grad. </s>
            <s xml:id="echoid-s12113" xml:space="preserve">42. </s>
            <s xml:id="echoid-s12114" xml:space="preserve">Cui
              <lb/>
            ſi integer circulus addatur, fient grad. </s>
            <s xml:id="echoid-s12115" xml:space="preserve">426. </s>
            <s xml:id="echoid-s12116" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s12117" xml:space="preserve">57. </s>
            <s xml:id="echoid-s12118" xml:space="preserve">à quibus ſi detrahantur grad. </s>
            <s xml:id="echoid-s12119" xml:space="preserve">105. </s>
            <s xml:id="echoid-s12120" xml:space="preserve">qui inter
              <lb/>
            circulos horæ 6. </s>
            <s xml:id="echoid-s12121" xml:space="preserve">& </s>
            <s xml:id="echoid-s12122" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12123" xml:space="preserve">interiecti ſunt, reliqui erunt grad, 321. </s>
            <s xml:id="echoid-s12124" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s12125" xml:space="preserve">57. </s>
            <s xml:id="echoid-s12126" xml:space="preserve">pro aſcenſione recta puncti
              <lb/>
              <note position="left" xlink:label="note-0204-02" xlink:href="note-0204-02a" xml:space="preserve">10</note>
            illius Eclipticæ, quod tunc circulum horæ 1. </s>
            <s xml:id="echoid-s12127" xml:space="preserve">poſt meridiem occupat. </s>
            <s xml:id="echoid-s12128" xml:space="preserve">Cuiaſcenſioni reſpondet in
              <lb/>
            tabula aſcenſionum rectarum (habita ratione partis proportionalis) gradus 19. </s>
            <s xml:id="echoid-s12129" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s12130" xml:space="preserve">31. </s>
            <s xml:id="echoid-s12131" xml:space="preserve">♒, ferè.
              <lb/>
            </s>
            <s xml:id="echoid-s12132" xml:space="preserve">Hoc igitur punctum Eclipticę, cum principium ♋, oritur, exiſtet in circulo horæ 1. </s>
            <s xml:id="echoid-s12133" xml:space="preserve">poſt meridiẽ,
              <lb/>
            punctum autem oppoſitum, hoc eſt, gradus 19. </s>
            <s xml:id="echoid-s12134" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s12135" xml:space="preserve">31. </s>
            <s xml:id="echoid-s12136" xml:space="preserve">♌, in eodem circulo poſt mediam no-
              <lb/>
            ctem. </s>
            <s xml:id="echoid-s12137" xml:space="preserve">Hoc
              <unsure/>
            artificio conſtructæ ſunt ſequentes quatuor tabellæ continentes puncta Eclipticę in cir
              <lb/>
            culis hor. </s>
            <s xml:id="echoid-s12138" xml:space="preserve">11. </s>
            <s xml:id="echoid-s12139" xml:space="preserve">1. </s>
            <s xml:id="echoid-s12140" xml:space="preserve">7. </s>
            <s xml:id="echoid-s12141" xml:space="preserve">& </s>
            <s xml:id="echoid-s12142" xml:space="preserve">5. </s>
            <s xml:id="echoid-s12143" xml:space="preserve">collocata, cum principia ſignorũ oriuntur, vnà cum declinationibus pun-
              <lb/>
            ctorum inuentorum. </s>
            <s xml:id="echoid-s12144" xml:space="preserve">He enim maxime conducent deſcriptionibus ſignorum aſcendentium in
              <lb/>
            vtroque horologio meridiano, & </s>
            <s xml:id="echoid-s12145" xml:space="preserve">polari, vt ſuo loco docebimus. </s>
            <s xml:id="echoid-s12146" xml:space="preserve">Itaque ſigna Zodiaci aſcendentia
              <lb/>
            in eodem horizontali horologio deſcripſimus. </s>
            <s xml:id="echoid-s12147" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s12148" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
        </div>
        <div xml:id="echoid-div651" type="section" level="1" n="168">
          <head xml:id="echoid-head171" xml:space="preserve">VIII. Puncta Eclipticæ in circulo horę 11. exiſtentia, eorumq́; declinationes,
            <lb/>
          cum principia 12. ſignorum Zodiaci oriuntur,
            <lb/>
          ad latitudinem grad. 42.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Signa aſcen- # ♈ # ♉ # ♊ # ♋ # dentia
            <lb/>
          Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta
            <lb/>
          Puncta in hora # 13. 48. ♑. # 0. 9. ♒. # 21. 3. ♒. # 21. 6. ♓. # 11. antemerid.
            <lb/>
          Puncta in hora # 13. 48. ♋. # 0. 9. ♌. # 21. 3. ♌. # 21. 6. ♍. # 11. pomerid.
            <lb/>
          Declina- # 22. 47. # 20. 10. # 14. 31. # 3. 32. # tiones Signa aſcen- # ♌ # ♍ # ♎ # ♏ # dentia Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta Puncta in hora # 29. 57. ♈. # 8. 19. ♊ # 13. 48. ♋. # 21. 3. ♌. # 11. antemerid. Puncta in hora # 29. 57. ♎. # 8. 19. ♐. # 13. 48. ♑. # 21. 3. ♒. # 11. pomerid. Declina- # 11. 29. # 21. 45. # 22. 47. # 14. 31. # tiones Signa aſcen- # ♐ # ♑ # ♒ # ♓ # dentia Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta Puncta in hora # 2. 21. ♎. # 10. 28. ♏. # 8. 19. ♐. # 27. 52. ♐. # 11. antemerid. Puncta in hora # 2. 21. ♈. # 10. 28. ♉. # 8. 19. ♊. # 27. 52. ♊. # 11. pomerid. Declina- # 0. 56. # 15. 0. # 21 45. # 23. 29. # tiones ###### IX. Puncta Eclipticę in circulo horæ 1. exiſtentia, eorumq́ue declinationes, \\ principiis 12. ſignorum aſcendentibus, ad \\ latitudinem grad. 42. Signa aſcen- # ♈ # ♉ # ♊ # ♋ # dentia Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta Puncta in hora # 16. 12. ♊. # 2. 8. ♋. # 21. 41. ♋. # 19. 32. ♌. # 1. antemerid. Puncta in hora # 16. 12. ♐ # 2. 8. ♑. # 21. 41. ♑. # 19. 32. ♒. # 1. pomeridiana Declina- # 22. 47. # 23. 29. # 21. 45. # 15. 0. # tiones</note>
        </div>
      </text>
    </echo>