302 Transactions of the South African Philosophical Society. 



Knowing the daily inequality of the Declination and the various 

 values of r we can determine the most probable values of the 



Table of Sun-spot Frequencies. 





I. 



II. 



III. 



IV. 



V. 



VI. 



VII. 



VIII. 



IX. 



X. 



XI. 



XII. 



1842 



•2 



•22 



•22 



•27 



•25 



•21 



•13 



•27 



•19 



•38 



•41 



•18 



1843 



•13 



•04 



•08 



•08 



•21 



•11 



•10 



•12 



•04 



•05 



•19 



•13 



1844 



•09 



•15 



•14 



•21 



•12 



•04 



•21 



•24 



•07 



•22 



•11 



•22 



1845 



•26 



•44 



•43 



•57 



•48 



•31 



•31 



•32 



•30 



•41 



•39 



•60 



1346 



•39 



•51 



•64 



•69 



•60 



•65 



•47 



•55 



1-07 



•56 



•60 



•66 



quantities A'D and A"D for any particular hour by applying the 

 principle of least squares and solving the resultant normal equations. 

 The results obtained by solving the various equations are given 

 in Tables II. and III. Table I. contains the mean daily inequality 

 for the period considered. 



TABLE I. 

 AD. 



Cape of 

 Good Hope 

 Hours 

 (Astro- 

 nomical). 



I. 



II. 



III. 



IV. 



i 

 V. 



VI. 



VII. 



VIII. 



IX. 



X. 



XI. 



XII. 



§ +34 min. 

 * 1 



•82 



•20 



•52 



•64 



— -60 



— -83 



—1-18 



—1-99 



—1-08 



1-34 



•62 



•88 



1-52 



2-02 



1-73 



1-51 



•07 



— -22 



— -51 



—1-04 



— -06 



2-23 



1-62 



1-79 



2 



1-91 



2-96 



2-35 



1-39 



•41 



•25 



•26 



•19 



•39 



2-21 



1-98 



1-74 



3 



1-33 



2-61 



1-96 



1-04 



•50 



•25 



•45 



•65 



•53 



1-62 



1-72 



1-21 



4 



1-01 



1-67 



1-09 



•76 



•16 



— -15 



— -95 



•37 



•33 



•57 



1-19 



•76 



5 



•78 



•95 



•66 



•42 



•25 



— -53 



— -58 



— -34 



•07 



•10 



•77 



•63 



6 



•56 



•59 



•58 



•18 



— -12 



— -47 



— -55 



— -28 



•03 



•33 



•83 



•58 



7 



•78 



•90 



•71 



•36 



— -06 



— -53 



— -66 



— -14 



•16 



•63 



1-24 



•93 



8 



1-06 



•86 



•68 



•34 



— -07 



— -32 



— -36 



— -04 



•22 



•74 



1-34 



1-16 



9 



•56 



•95 



•65 



•36 



•18 



— -21 



— -26 



•13 



•12 



•74 



1-34 



1-14 



10 



•98 



•91 



•55 



•33 



•20 



— -21 



— -06 



•03 



•2 



•72 



1-23 



1-16 



11 



•72 



•66 



•66 



•35 



•15 



— -05 



•12 



•11 



•14 



•65 



1-24 



1-16 



12 



•56 



•68 



•59 



•31 



•24 



•10 



•30 



•24 



•23 



•56 



1-13 



•97 



13 



•29 



•56 



•74 



•48 



•41 



•36 



•45 



•34 



•33 



•59 



•94 



•8 



14 



•11 



•51 



•69 



•51 



•39 



•33 



•49 



•47 



•35 



•37 



•7 



•58 



15 



— -05 



•4 



•60 



•47 



•58 



•54 



•51 



•75 



•40 



•23 



•36 



•22 



16 



— -36 



•28 



•53 



•61 



•68 



•51 



•50 



•83 



•40 



•16 



— -01 



— -23 



17 



— -81 



•15 



•47 



, -76 



•75 



•58 



•56 



1-03 



•57 



— -14 



— -65 



—1-02 



18 



—1-49 



— -18 



•02 



•66 



1-18 



•96 



•82 



1-73 



1-87 



— -73 



—1-99 



—2-32 



19 



—2-36 



—1-82 



—1-58 



— -29 



1-50 



+ 1-65 



1-64 



2-27 



1-94 



—2-36 



—3-28 



—3 52 



20 



—2-94 



—3-96 



—3-83 



—2-37 



— -22 



•94 



1-18 



1-09 



•01 



—3-79 



—4-69 



—3-63 



21 



—2-86 



—5-31 



—4-80 



—3-57 



—1-75 



— -54 



— -47 



— -94 



—1-72 



—3-56 



—4-28 



—3-16 



22 



—1-93 



—4-31 



—3-62 



—3-22 



—2-47 



—1-35 



—1-47 



—2-33 



—2-75 



—2-38 



— 2-21 



—1-64 



23 



— -59 



—2-24 



—1-41 



—1-46 



—1-83 



—1-29 



—1-75 



—2-75 



—2-41 



— -57 



— -75 



— -26 



