The Astronomical Tables of Giovanni Bianchini (History of by Jose Chabas, Bernard R. Goldstein

By Jose Chabas, Bernard R. Goldstein

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Month), in agreement with the tabulated values. Table 16. Monthly mean motion of the Moon Na, f. 19r: Menses non bisextiles and Menses bisextiles Nu, f. 23v: Menses non bisextiles and Menses bisextiles Va, f. 190v: Menses non bisextiles and Menses bisextiles Ed. 1495, f. b8r: Tabula mensium non bisextilium and Tabula mensium bisextilium Ed. 1526, f. 16r: Tabula mensium non bisextilium and Tabula mensium bisextilium This table has two sub-tables, one for a common year and another for a leap year, both beginning in January: see Table 16.

8r–11v: Tabula solis [symbol for the Sun] in auge In this table there are five columns: see Table 8. The first is for the argument: collected years from 0y to 2000y at intervals of 4y (at intervals of 20y in Regiomontanus’s copy). Thus, all the entries correspond to leap years. The entries in the second column, under the heading ‘June’, are given in days, hours, and minutes (from 3d 23;38h for year 0 to 13d 1;6h for year 2000). As explained in Chapter 7, the entries show the date and the time the Sun is at its apogee in a given year.

5. Tabulas magistrales. This is a set of 6 or 7 tables, depending on the manuscripts, arranged in two groups. Among them are high precision tables for tangents and cosecants, where Bianchini abandons sexagesimal notation, replacing it with decimal notation, that is, defining the radius of the circle as R = 10n (with n = 3 for tangents and n = 4 for cosecants). 15 In spite of their unusual presentation and lack of user-friendliness, Bianchini’s tables were appreciated and used by quite a number of astronomers.

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