222 Mansfield Merrimaa — Lint cf Writings relating 



This is an extract from a memoir pulilislied in Ahliandl. Sachs. 

 Gesell ; see below 1875. Fechxer deduces the formula 

 _ 1.195502 :2x 

 °~ \/'27r- 0.8548 ^'' 

 n being the number of observations and 2x the sum of tlie residuals 

 all taken positively. See 1876 IIelmert. 



1874 Glaisher. ' On the Solution of the Equations in the Method 

 of Least Squares.' Month. Mot. Astron. Soc. Loud.., Vol. XXXTV, 

 pp. 311-334. 



A critical discussion of Gauss's, Bessel's and Jacobi's methods for 

 solving equations and determining weights. — See Jahrb. Fortschr. 

 Math':, Vol. VI, p. 145. 



1874 Hansen. 'Von der Bestimmung der Theilungsfehler eines 

 o'radlinioen jVIaassstabes.' Ahhandl. Sachs. Gesell., Vol. XV, pp. 

 525-668. 



1874 Jevoxs. ' The Principles of Science: a Treatise on Logic 

 and Scientific Method.'' London, Svo. Vol. 1, j)}*. xvi, 463 ; Vol. II, 

 pp. vii, 480. 



Chapters on ' The Method of Means,' 'The Law of Error,' 'Theory 

 of Apju'oximation,' etc., give valuable remarks concerning the funda- 

 mental principles of the Method of Least Squares. 



1874 Jordan. Taschenhuch der praktischen Geometrie. Eine 

 Sanimlvng von Resultateii der hoheren und niederen Vermessungs- 

 hunde. Stuttgart, 8vo, pp. xi, 416. 



In Part I the Method of Least Squares is presented. See review 

 in SchlbynilcW s Lit. Zeit., Vol. XVIII, ])p. 33-40. The book is now 

 (1877) being republished under the title ^LJlentente der Verniesstuigs- 

 kunde;'' and Part I, pp. 1-136, contains a valuable treatise on Least 

 Squares. 



1874 Meyer. ' Calcul des Probabilites de A. Meyer, public sur 

 les manuscrits de I'auteur par F. B^'olie.' 3fem. Soc. Liege, Vol. VI, 

 ^Q^ 2 x-|-446 pp. — Also published under title (Jours de Calcul. . . . 

 fait d la ZTniversite de Liege. . . . Bruxelles, Svo. 



This is a comprehensive and valuable work. In the parts relating 

 to the theory of observations the proofs of 1809 Gauss and 1837 

 Hagen are given, as also the investigations of 1852 Bienaymb, 



1874 PovvALKY. ' On the Combination of the different Results 

 of various Series of Observations.' Month. Not. Astron. Soc. Lond., 

 Voh XXXIV, pp. 476-479. 



