1626.3 Col. Beaitfoy's Astronomical Observations, 



83 



3. If p is any number whatever, and its prime factors are 

 a, b, &c. ; that is, ifp =. a' ¥ .... we have ?t = (a — 1) a«-' 



X (6 — 1) b^~^ X as is shown by writers on the theory 



of numbers. 



Article II. 



Astronomical Observations, 1825. 

 By Col. Beaufoy, FRS. 



Sushey Heath, near Stanmore. 

 Latitude 61" 3T 44*3" North. Longitude West in time 1' 20'93", 



Observed Transits of the Moon and Moon-culminating Stars over the Middle Wire of 

 the Transit Instrument in Sidereal Time. 



1825. Stars. Transits, 



Dec. 15.— 30 Aquarii 21h 54' 07-84" 



15.— 2Aquarii 22 01 29-79 



15.— 51 Aquarii 22 15 03-34 



15.— Moon's First or West Limb 22 21 29-54 



• 15.— 166 Aquarii 22 58 45-45 



17.— J Piscium 23 11 29-79 



IT.— 19 Piscium 23 37 31-34 ,~" 



17.— 26 Piscium 23 46 15-28 



17 w Piscium 23 50 23-83 



17.— Moon's First or West Limb .... 23 53 32-96 



17.— 36 Piscium 07 39-38 *''l 



17.— rf Piscium 11 40-34 



17.— 45 Piscium 16 45-36 



17 — 31 Piscium 23 26-89 



17 — 189 Piscium 39 17-26 



19.— 75 Piscium 57 26-95 



19 — 311 Piscium 1 01 00-30 



19 D Piscium 1 22 13-00 



19. —Moon's First or West Limb 1 26 12-73 



19.— 104 Piscium 1 29 58-82 



19 4Arieti8 1 38 47-38 



25 — ^Gemin 6 12 28-69 



25.— vGemin 6 18 40-52 



25.— a Gemin 6 35 16-08 



25.— 36 Gemin 6 41 09-45 



25. — Moon's Second or East Limb.. . 6 50 55-25 



25.-?Gemin T 09 45-89 



25.— 56 Gemin 7 II 42-99 



25,— 61 Gemin 7 16 4307 



Dec. 19. Immersion of Jupiter's first ( 13h 02' 04" Mean Time at Bushey. 



satellite \ 13 03 26 Mean Time at Greenwich. 



Dec. 31. Immersion of Jupiter's second | II S4 59 Mean Time at Bushey. 



satellite (11 26 20 Mean Time at Greenwich. 



g2 



