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 ♈.
Page: 198 (178)
[162.] II. Sole exiſtente in principio ♎.
Page: 198 (178)
[163.] III. Sole exiſtente in principio ♋.
Page: 198 (178)
[164.] IIII. Sole exiſtente in principio ♑.
Page: 198 (178)
[165.] Arcus ſemidiurni in initijs ſignorum, ad latitudinem grad. 42.
Page: 200 (180)
[166.] VI. Mediationes cœli, & anguli terræ, eorumq́; declinationes, orientibus 12. ſignorum Zodiaci initiis, ad latitudinem grad. 42.
Page: 201 (181)
[167.] VII. Puncta Eclipticæ in circulo horę 6. conſtituta, eorumq́ue declinationes, orientibus 12. ſignorum Zodiaci principijs, ad latitudinem grad. 42.
Page: 202 (182)
[168.] VIII. Puncta Eclipticæ in circulo horę 11. exiſtentia, eorumq́; declinationes, cum principia 12. ſignorum Zodiaci oriuntur, ad latitudinem grad. 42.
Page: 204 (184)
[169.] SCHOLIVM.
Page: 206 (186)
[170.] SEQVVNTVR TABELLÆ.
Page: 207 (187)
[171.] PROBLEMA. 10. PROPOSITIO 10.
Page: 212 (192)
[172.] SCHOLIVM.
Page: 218 (198)
[173.] PROBLEMA. 11. PROPOSITIO 11.
Page: 219 (199)
[174.] SCHOLIVM.
Page: 220 (200)
[175.] PROBLEMA 12. PROPOSITIO 12.
Page: 221 (201)
[176.] SCHOLIVM.
Page: 223 (203)
[177.] DE HOROLOGIIS VERTICALIBVS. PROBLEMA 13. PROPOSITIO 13.
Page: 224 (204)
[178.] SCHOLIVM.
Page: 227 (207)
[179.] PROBLEMA 14. PROPOSITIO 14.
Page: 231 (211)
[180.] SCHOLIVM.
Page: 237 (217)
[181.] PROBLEMA 15. PROPOSITIO 15.
Page: 242 (222)
[182.] PROBLEMA. 16. PROPOSITIO 16.
Page: 242 (222)
[183.] SCHOLIVM.
Page: 243 (223)
[184.] PROBLEMA 17. PROPOSITIO 17.
Page: 243 (223)
[185.] PROBLEMA 18. PROPOSITIO 18.
Page: 245 (225)
[186.] SCHOLIVM.
Page: 245 (225)
[187.] PROBLEMA 19. PROPOSITIO 19.
Page: 246 (226)
[188.] PROBLEMA 20. PROPOSITIO 20.
Page: 246 (226)
[189.] SCHOLIVM.
Page: 247 (227)
[190.] PROBLEMA 21. PROPOSITIO 21.
Page: 248 (228)
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          <pb o="182" file="0202" n="202" rhead="GNOMONICES"/>
          <note position="right" xml:space="preserve">
            <lb/>
          Signa aſcen- # ♌ # ♍ # ♎ # ♏ # dentia
            <lb/>
          Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta
            <lb/>
          Mediationes # 13. 59. ♈. # 23. 57. ♉. # 0. 0. ♋. # 6. 3. ♌. # cœli
            <lb/>
          Anguli # 13. 59. ♎. # 23. 57. ♏. # 0. 0. ♑. # 6. 3. ♒. # terrę
            <lb/>
          Declina- # 5. 32. # 18. 48. # 23. 30. # 18. 48. # tiones
            <lb/>
          Signa aſcen- # ♐ # ♑ # ♒ # ♓ # dentia
            <lb/>
          Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta
            <lb/>
          Mediationes # 16. 1. ♍ # 24. 54. ♎. # 23. 57. ♏. # 14. 1. ♐. # cœli
            <lb/>
          Anguli # 16. 1. ♓. # 24. 54. ♈. # 23. 57. ♉. # 14. 1. ♊. # terrę
            <lb/>
          Declina- # 5. 32. # 9. 40. # 18. 48. # 22. 32. # tiones
            <lb/>
          </note>
          <note position="left" xml:space="preserve">Qua arte inue-
            <lb/>
          niantur pun-
            <lb/>
          cta Eclipticæ in
            <lb/>
          circulo horæ
            <lb/>
          6. à merid. uel
            <lb/>
          med. noc. collo
            <lb/>
          cata, cum ſigno-
            <lb/>
          tum initia oriũ
            <lb/>
          tur.</note>
          <p>
            <s xml:id="echoid-s11953" xml:space="preserve">RVRSVS, quoniam aſcenſio obliqua principii cuiuslibet ſigni eſt aſcenſio recta illius pun
              <lb/>
            cti Eclipticæ, quod tunc in circulo horæ 6. </s>
            <s xml:id="echoid-s11954" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s11955" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s11956" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s11957" xml:space="preserve">exiſtit ante meridiem, vt perſpi-
              <lb/>
            cuum eſt, ſi rectè conſideretur poſitio circuli horæ ſextæ à mer. </s>
            <s xml:id="echoid-s11958" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s11959" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s11960" xml:space="preserve">qui perperuo tranſit
              <lb/>
            per puncta veri ortus, hoc eſt, per finem aſcenſionis obliquæ, inſtar Horizontis cuiuſdam recti.
              <lb/>
            </s>
            <s xml:id="echoid-s11961" xml:space="preserve">Hinc enim fit, vt arcus Æ quatoris metiens obliquam aſcenſionem puncti in Horizonte conſtitu-
              <lb/>
              <note position="left" xlink:label="note-0202-03" xlink:href="note-0202-03a" xml:space="preserve">20</note>
            ti, metiatur quoque aſcenſionem rectam puncti Eclipticæ in circulo horæ ſextæ collocati illo tem
              <lb/>
            pore, aſcenſionem, inquam, rectam ſupra circulum horæ ſextæ, tanquam Horizontem quendam
              <lb/>
            rectum. </s>
            <s xml:id="echoid-s11962" xml:space="preserve">Hinc ex tabula aſcenſionum rectarum punctum illud Eclipticæ notum fiet. </s>
            <s xml:id="echoid-s11963" xml:space="preserve">Manifeſtum
              <lb/>
            autem eſt, punctum Eclipticæ oppoſitum in eodem tunc circulo horæ ſextæ exiſtere poſt meridiẽ.</s>
            <s xml:id="echoid-s11964" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Eremplum.</note>
          <p>
            <s xml:id="echoid-s11965" xml:space="preserve">EXEMPLVM. </s>
            <s xml:id="echoid-s11966" xml:space="preserve">Principio ♋, aſcendente, inuenio eius aſcenſionem obliquam, ad latitu-
              <lb/>
            dinem grad. </s>
            <s xml:id="echoid-s11967" xml:space="preserve">42. </s>
            <s xml:id="echoid-s11968" xml:space="preserve">continere grad. </s>
            <s xml:id="echoid-s11969" xml:space="preserve">66. </s>
            <s xml:id="echoid-s11970" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11971" xml:space="preserve">57. </s>
            <s xml:id="echoid-s11972" xml:space="preserve">Tanta ergo eſt aſcenſio recta puncti Eclip@icæ tunc
              <lb/>
            in dicto circulo horæ ſextæ ante meridiem conſtituti. </s>
            <s xml:id="echoid-s11973" xml:space="preserve">Quod punctum ex tabula aſcenſionum re-
              <lb/>
            ctarum reperietur eſſe gradus 8. </s>
            <s xml:id="echoid-s11974" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11975" xml:space="preserve">41. </s>
            <s xml:id="echoid-s11976" xml:space="preserve">♊, habita ratione partis proportionalis; </s>
            <s xml:id="echoid-s11977" xml:space="preserve">ac proinde
              <lb/>
            in eodem circulo poſt meridiem exiſtet gradus 8. </s>
            <s xml:id="echoid-s11978" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11979" xml:space="preserve">41. </s>
            <s xml:id="echoid-s11980" xml:space="preserve">♐. </s>
            <s xml:id="echoid-s11981" xml:space="preserve">In ſphæra recta idem punctum ſu-
              <lb/>
            pra Horizontem aſcendens eſt in circulo horæ ſextæ à mer. </s>
            <s xml:id="echoid-s11982" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s11983" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s11984" xml:space="preserve">ante meridiem, propte-
              <lb/>
              <note position="left" xlink:label="note-0202-05" xlink:href="note-0202-05a" xml:space="preserve">30</note>
            rea quòd ibi dictus circulus horæ 6. </s>
            <s xml:id="echoid-s11985" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s11986" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s11987" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s11988" xml:space="preserve">idem ſit, qui Horizon. </s>
            <s xml:id="echoid-s11989" xml:space="preserve">Hac arte ſequen-
              <lb/>
            tem tabellam continentem puncta Eclipticæ in circulo horæ 6. </s>
            <s xml:id="echoid-s11990" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s11991" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s11992" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s11993" xml:space="preserve">conſtituta,
              <lb/>
            dum initia ſignorum oriuntur, ad latitudinem grad. </s>
            <s xml:id="echoid-s11994" xml:space="preserve">42. </s>
            <s xml:id="echoid-s11995" xml:space="preserve">conſtruximus, in qua etiam poſitæ ſunt
              <lb/>
            declinationes punctorum inuentorum, quas quidem ſupputauimus ex ſinuum ſcientia, vt in co-
              <lb/>
            roll. </s>
            <s xml:id="echoid-s11996" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s11997" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11998" xml:space="preserve">pręcedentis libri docuimus, quamuis eædem colligi poſſint ex tabula declinationũ,
              <lb/>
            ſi partis proportionalis ratio hbeatur.</s>
            <s xml:id="echoid-s11999" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div645" type="section" level="1" n="167">
          <head xml:id="echoid-head170" xml:space="preserve">VII. Puncta Eclipticæ in circulo horę 6. conſtituta, eorumq́ue declinationes,
            <lb/>
          orientibus 12. ſignorum Zodiaci principijs, ad
            <lb/>
          latitudinem grad. 42.</head>
          <note position="left" xml:space="preserve">40</note>
          <note position="right" xml:space="preserve">
            <lb/>
          Signa aſcen- # ♈ # ♉ # ♊ # ♋ # dentia
            <lb/>
          Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta
            <lb/>
          Pũcta ĩ hora 6. # 0. 0. ♈. # 18. 49. ♈. # 10. 53. ♉. # 8. 41. ♊. # antemeridiana
            <lb/>
          Pũcta ĩ hora 6. # 0. 0. ♎. # 18. 49. ♎. # 10. 53. ♏. # 8. 41. ♐. # pomeridiana
            <lb/>
          Declina- # 0. 0. # 7. 23. # 15. 8. # 21. 48. # tiones
            <lb/>
          Signa aſcen- # ♌ # ♍ # ♎ # ♏ # dentia
            <lb/>
          Gradus & # G. M. # G. M. # G. M. # G. M. # Minuta
            <lb/>
          Pũcta ĩ hora 6. # 11. 49. ♋. # 19. 7. ♌. # 0. 0. ♎. # 10. 53. ♏. # antemeridiana
            <lb/>
          Pũcta ĩ hora 6. # 11. 49. ♑. # 19. 7. ♒. # 0. 0. ♈. # 10. 53. ♉ # pomeridiana Declina- # 22. 58. # 15. 8. # 0. 0. # 15. 8. # tiones Signa aſcen- # ♐ # ♑ # ♒ # ♓ # dentia Gradus & # G. M. # G. M. # G. M. # G. M. # minuta Pũcta ĩ hora 6. # 18. 11. ♐. # 21. 19. ♑. # 19. 7. ♒. # 11. 11. ♓. # antemeridiana Pũcta ĩ hora 6. # 18. 11. ♊. # 21. 19. ♋. # 19. 7. ♌. # 11. 11. ♍. # pomeridiana Declina- # 22. 58. # 21. 48. # 15. 8. # 7. 23. # tiones</note>
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