212 Mansfield 3Ier rim an — Tjist of W^)'itlngs 7'elating 



kleiusteii Quadrate im AUgemeinen uiid in ihrer Aiiwendmig auf die 

 Geodiisie.' Ahhandt. Sdchsisch. GeselL, Vol. XIV, pp. 1-184. 

 For review see Jahrh. Fortschr. 3Iath, Vol. I, p. 388. 



1868 IIelmert. ' Studien tiber rationelle Vermessungen im Ge- 

 biete der hoheren Geodasie.' Zeitschr. M<(th. u. Phys., Vol. XIII, 

 pp. '73-120, 163-186. 



See Jahrb. Fortschr. Math., Vol. I, p. 389. 



1868 Hencke. JJeher die Methode der Meinsten Quadrate. Leip- 

 zig, 8vo. 



A doctor''s dissertation containing historical and critical information 

 relating to Least Squares. I regret that I have been unable to see a 

 copy of it. 



1868 LeBoulengb. 'Etudes de ballistique experimentale.' Mem. 

 Acad. Belgique., Vol. XX, pp. 1-94. 



Contains applications of the Method of Least Squares. 



1868 Miller-Haueneels. '■Ilohere MarksoJteidekunst. Praktisch- 

 theoretische Anleitung beim. MarTcscheiden die vermeidlichen Fehler 

 zu nmgehen., die unverm,eidlichen aber in einfacher und streng inissen- 

 scliaftlicher Weise zu verhessern..'' Wien, 8yo, pp. xii, 291. 



A valuable book for mining engineers. In the first oi- practical 

 part processes and their ai)plications are given, while the proofs fol- 

 low in the second part. An attempt is made to show that the arith- 

 metical mean is the most probable result by the theory of combina- 

 tions, all true errors being taken as equal. The term absolute vmght 

 is introduced for h'^. Gauss's first proof of the Method of Least 

 Squares is given. 



1868 Schiaparelli. ' Siil principio della media arithmetica nel 

 calcolo dei 7-esultati delle osservationi.' Instit. Lombard. Rendico)di, 

 Vol. I, pp. 771-778. 



Contains a new demonstration of the validity of the arithmetical 

 mean. See 1875. 



1868 Stone. ' On the Rejection of Discordant Observations.' 

 Month. Not. Astron. Soc. Zond, Vol. XXVIII, pp. 165-168. 



Peirce's and Chauvexet's criteria (see 1852 and 1864) are re- 

 garded as troublesome to use and as based on an erroneous principle, 

 and a criterion is proposed, which embodies, in the opinion of the 

 author, the true grounds on which the judgment rests when rejecting 

 discordant observations or mistakes. See below 1873 Glaisher and 

 Stone. 



