210 Mansfield Merriman — List of Writmgs relating 



J and ^. The paper compares the resiilts given by these 



n ^n — l 



two formulae and accords the preference to the first. See 1816 Bessel, 

 1816 Gauss, 1823 Gauss and 1860 Dedakind. 



1866 Natani. ' Quadrate (Methode der klemsten).' Hoffmami's 

 Mathematisches Worterhuch, Vol. V, pp. 16-33, 



Gauss's proof of 1808 and Hagen's of 1837 are given, and free use 

 is made of Wittstein's work of 1849. The familiar eqiiation ex- 

 pressing the law of facility of error appears here under the strange 

 notation qj{y)=iCe~°''^^ • 



1866 Radau. ' Ueber die personlichen Gleichungen bei Beobach- 

 tungen derselben Erscheinungen durch verschiedene Beobachter.' 

 Reper. /. phys. TechniJc, Vol. I, pp. 202-218, 306-321; Vol. II, pp. 

 115-156. 



This is a translation from the Moniteur scientifique for 1865. It 

 gives a detailed history and discussion of the subject of personal 

 equation. See 1861 Peters. 



1866 ScHOTT. 'The jjroblem of determining a position by angles 

 observed upon a number of given stations. Solution of Gauss, with 

 example.' Rep. Coast Survey IT. S. for 1864, pp. 116-119. 



The method is taken from Gerling's book, see 1840. 



1866 ScHOTT. ' Report on the method of reduction, and results of 

 the connection of the Epping base line with the primary triangula- 

 tion in the Eastern States.' Rep. Coast Survey U. S. for 1864, pp. 

 120-144. 



A valuable practical paper containing determinations of probable 

 errors of observations, and the discussion of a case of adjustment in 

 solving thirty-five normal equations and fifty-eight equations of cor- 

 relatives. 



1866 WiNCKLER. ' Allgemeine Satze zur Theorie der unregelmas- 

 sigen Beobachtungsfehler.' Sitzungsher. Akad. Wein, Vol. LIII, Pt. 

 II, pp. 6-41. 



An investigation of relations between mean values of powers of 

 errors and expressions for probability of errors. 



1867 Andra. Den Danske Grradmaaling. Vol. I, Kopenhagen, 



4to, pp. 608. Vol. II in 1873, pp. 504. 



The adjustment of indirect observations subject to conditional 

 equations is fully treated. 



