20 i Mansfield Merriman — List of Writings relating 



1858 BouNiAKOwsKY. ' Sui" uii instrumoiit destine a faciliter I'ap- 

 plication niuuerique <le la methode des moindres earres, et a controler 

 les resnltats obtenus par cette methode.' Bull. phys. math. Acad. 

 St. Peters., Vol. XVII, col. 289-298. —Mel. math. Acad. St. Peters., 

 Vol. II, pp. 60:^-614. 



A machine for calculating the sums r/^ _j_ ^,2^ _|_ ,,2 _|_ . . . .^ ^nd 

 a^b^ -\-a„b., + a^b^ + -■ • 



1858 Casorati. 'Intorno ad alcuni puncti della theoria dei minimi 

 quadrati.' Annali di Math., Vol. I, pp. 329-343. 

 Discussion by the use of determinants, etc. 



185S Clarke. '■Ordnance Trigonometrical Survey of Great 

 Britain and Ireland. AccoaiU of tJie Observations and Calculations 

 of the Principal Triangidations and of the Figure, Dinieiisions and 

 mean Specific Gravity of the PJarth as derived therefrom.'' London, 

 4to, pp. xvii, 782, with an Atlas of 28 Plates. 



The whole triangulation is adjusted by the Method of Least 

 Squares. The method of coi'relatives is ex])lained at length and 

 illustrated for a case involving seventy-four observations subject to 

 thirty-nine conditional equations. An inspection of this book will 

 give students an idea of the stupendous calculations which men of 

 science undertake and execute. 



1858 DiDioN. Galcul des probabilit'es applique au tir des p)ro- 

 jectiles. Paris, 8vo. 



For an exposition of this siibjeci see Sonnet's THctionaire des 

 inathematiques appliqu'ees, (Paris, IBti?), pp. 1 103-1108. 



1858 Grunert. ' Drei Grossen x, y, z, deren Summe diegegebene 

 Grosse s ist, sind durch ^Nlessimg bestimmt worden, und man habe 

 dadurch flir diese drei Grossen respective die Werthe a, b, c erhalten. 

 L)a diese Werthe mit Beobachtungsfehler behaftet sind, und ihre 

 Summe also ira Allgemeinen nicht genau s ist, so soil man dieselben 

 so verbessern, dass die verbesserten Werthe genau die Summe .s' geben, 

 und die Sumrae der Quadrate der Verbesserungen ein Minimum ist.' 

 Archiv. 3Iath. n. Phys., Vol. XXXI, pp. 480-481. 



1858 JuLLiEN. 'Memoire sur la prolialjilite des erreurs dans la 

 sorame ou dans la moyenne de plusieurs observations.' Annali di 

 Math., Vol. I, pp. 76-88, 149-155, 227-237. 



Errors subject to the law of facility (p{x)z=^ constant are particu- 

 larly discussed. 



