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ZDS the meridian, and Z the zenith. ZYC is an altitude circle. altitude a ≡ CY of point Y, as well as the angle µ ≡ ZYB. Note that µ is defined such that it lies between the ecliptic in the direction of increasing ecliptic longitude and the altitude circle in the direction of increasing altitude. Moreover, µ is acute when increasing altitude, a, corresponds to increasing ecliptic latitude, β, and obtuse when increasing a corresponds to decreasing β. See Figs. 12. Incidentally, this definition is adopted in order to simplify the calculation of lunar parallax—see Sect.

12: Parallactic angle in the case where increasing altitude corresponds to decreasing ecliptic latitude. SCBE is the southern horizon, with S and E the south and east compass points, respectively. DYB is the ecliptic. ZDS the meridian, and Z the zenith. ZYC is an altitude circle. altitude a ≡ CY of point Y, as well as the angle µ ≡ ZYB. Note that µ is defined such that it lies between the ecliptic in the direction of increasing ecliptic longitude and the altitude circle in the direction of increasing altitude.

5: Right ascensions of the ecliptic for latitude 0◦ . 6: Oblique ascensions of the ecliptic for latitude +10◦ . 7: Oblique ascensions of the ecliptic for latitude +20◦ . 8: Oblique ascensions of the ecliptic for latitude +30◦ . 9: Oblique ascensions of the ecliptic for latitude +40◦ . 10: Oblique ascensions of the ecliptic for latitude +50◦ . 11: Oblique ascensions of the ecliptic for latitude +55◦ . 12: Oblique ascensions of the ecliptic for latitude +60◦ . 13: Oblique ascensions of the ecliptic for latitude +65◦ .

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A Modern Almagest: An Updated Version of Ptolemy’s Model of the Solar System by Richard Fitzpatrick


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