Essays on Medieval Computational Astronomy by Jose Chabas Bergon, Bernard R. Goldstein

By Jose Chabas Bergon, Bernard R. Goldstein

Essays on Medieval Computational Astronomy (Time, Astronomy, and Calendars) [Hardcover] [Nov 01, 2014] Chabas Bergon, Jose and Goldstein, Bernard R. ...

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48 chapter 2 mean to true syzygy but the time, t, counted from noon, at which the true syzygy occurs in Salamanca. The 842 non-zero entries in this table can be recomputed by means of the following equation: (5) t = 24η / Δη, where η and Δη are deduced from the values of the true longitudes of the Sun and the Moon, at Salamanca for noon, found in other tables of the Almanach perpetuum (Tables 2 and 7 for the daily positions of the Sun and the Moon). The results given by Zacut differ by more than ±1′ in only 26 cases, thus indicating that the original table was satisfactorily calculated.

Yosef lbn Waqār of Seville (mid-fourteenth century) presents a slightly different solution in the form of tables, uniquely preserved in Munich, ms heb. 230, f. 78b, where the headings are written in Arabic in Hebrew characters. He treats the effect of the velocities of each luminary in Equation (2) separately in two double argument tables. In the first table (Munich, ms heb. 230, f. 78b top) only the lunar velocity varies while it is assumed that the solar velocity is constant. In this table the elongation, η (in degrees and minutes, from 0;10 ° to 1;0°, at intervals of 0;10°, and from 1° to 6° at intervals of 1°), is the horizontal argument (rather than vertical, as before), and the lunar velocity is the vertical argument (in degrees and minutes per day, from 12;0°/d to 14;50°/d, at intervals of 0; 10°/d).

86va–87ra (P). Sentence numbers and punctuation have been added by the editors. Canon super tabulas magistri nicholay de heybech [1] Tempus uere coniunctionis et oppositionis solis et lune per tabulas a magistro nicholao de heybech de erfordia compositas inuenire. [2] Scias tempus medie coniunctionis si uolueris coniunctionem ueram, uel tempus medie oppositionis si uolueris oppositionem ueram. [3] Scias eciam argumentum solis et argumentum lune ad idem tempus. [4] Quibus scitis et habitis intra primo cum argumento solis in tabulam equationis temporis uere coniunctionis et oppositionis luminarium.

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