Symboll Of Elongation Of Planet

0; 2,31

True positions of the planets: Tables 27 (Saturn), 34 ( Jupiter), 41 (Mars), 48 (Venus), and 56 (Mercury)

Na, ff. 24r-32v (Saturn: Saturnus); ff. 33r-41v ( Jupiter); ff. 42r-59v

(Mars); ff. 60r-77v (Venus); and ff. 78r-86v (Mercury) Nu, ff. 32r-40v (Saturn: Incipiunt tabulae veri loci Saturni), ff. 41r-49v ( Jupiter); ff. 50r-67v (Mars); ff. 68r-85v (Venus); and ff. 86r-94v (Mercury)

Rc, f. 20r-v (Saturn: Saturnus; only one folio is preserved, the rest was cut off); ff. 21r-25r ( Jupiter); ff. 25v-34r (Mars); ff. 34v-42r (Venus); and ff. 42v-46r (Mercury) Va, ff. 196v-204r (Saturn: Saturnus); ff. 204v-213r (Jupiter); ff. 213v-

231r (Mars); ff. 231v-249r (Venus); and ff. 249v-258r (Mercury) Ed. 1495, ff. d4r-g6v (Saturn: Residuum [symbol for Saturn]); ff. g8r-l2v ( Jupiter); ff. l4r-s1v (Mars); ff. s3r-&8v (Venus); and ff. $1r-C5v (Mercury).

Ed. 1526, ff. 28r-54v (Saturn: Residuum [symbol for Saturn]); ff. 56r-82v

( Jupiter); flE 84r-137v (Mars); ff. 139r-192v (Venus); and flE 194r-229v

(Mercury)

For each planet we are given a double argument table. The vertical argument is the time, in days, within an anomalistic period, at intervals of 10 days, or 3 days in the case of Mercury, from 0d to 378d (Saturn), 398d (Jupiter), 779d (Mars), 583d (Venus), and 115d (Mercury). For special planetary positions the intervals are occasionally shorter. Thus, the vertical argument represents mean anomaly. The horizontal argument is the 'center', from 0,0° to 5,50°, at intervals of 10°.

As shown in Tables 41 and 56, for each day and each value of the 'center', we are given eight entries, where t - t0 is the number of days since the mean anomaly was 0° and k is the argument of center when the mean anomaly was 0°; increment in longitude (in physical signs, degrees, and minutes), A/(t - t0, k), here called locus; equation in longitude (in minutes and seconds), qL(t - t0, k), here called equatio; daily velocity in longitude (in minutes and seconds), vD(t - t0, k); hourly velocity in longitude (in minutes and seconds), vH(t - t0, k); latitude (in degrees and minutes), P(t - t0, k ); equation in latitude (in minutes and seconds), qB(t - to, k), also called equatio; elongation (in physical signs, degrees, and minutes), n(t - t0, k); and equation in elongation (in minutes and seconds), qE(t - t0, k), also called equatio. For the locus it is indicated whether it is directus or retrogradus and for the latitude whether meri[dionalis] or sept[entrionalis], i.e., south or north. The elongation listed here is the difference between the true longitudes of the Sun and the planet. For the superior planets the symbol for the Sun appears under the heading elongation, but for the inferior planets this symbol alternates with that of the corresponding planet. As explained in Chapter 20, the symbol for the Sun is associated with an inferior planet when it is seen above the eastern horizon in the morning, whereas the symbol for the planet is associated with an inferior planet when it is seen above the western horizon in the evening.

In his copy Regiomontanus omitted the columns for the elongation and its equation. The format of these double argument tables is basically the same as that which we find in the tables for 1321 compiled by John of Murs, where the vertical argument is also mean anomaly, given in time, and the horizontal argument is mean argument of center. However, John of Murs's tables contain far fewer entries; for instance, for each value of the horizontal argument there is only an entry in a single column whereas Bianchini's tables have eight columns.

analysis of the tables

0 0

Post a comment