198 Mansfield Merrbaan — List of Writings relating 



1853 Cauchy. ' Sur la j^lus grande erreiir a eraiudre dans iin 



resultat moyeii, et siir le syst^me de I'acteurs qui rend cette plus 



grande erreur un Tninimnm.' Coi/iptes He/tdus Acad. Paris, Vol. 



XXXVII, pp. 326-3.34. 



The system of factors is often very diiferent from that given by the 

 Method of Least Squares. 



1853 Cauchy. 'Memoire sur les resultats moyens d'un tres grand 

 nombre d'observations.' Comptes Mendus Acad. Paris, Vol. XXX VII, 

 pp. 381-385. 



An abstract only is given. The resiilt seems to be that the mean 

 is worthy of great confidence. 



1853 Gkunert. ' Elementare Betrachtungen tiber die Bildung 

 der Bedingungsgleichungen aus gegebenen Beobachtungen.' Ar- 

 chiv Math. u. Phi/s., Vol. XXI, pp. 453-486. 



"Bedingungsgleichung" is not here used in its usual sense. The 

 paper contains an investigation of the value to be taken for x when 

 A—Px=0, and many values of A and P are given by observation. 

 A certain form for x is shown to involve the principle of Least 

 Squares. 



1853 LiAGKE. Calcid des prohahllit'es et la theorie des erreurs, avec 

 des applications aux sciences d'' observation en general, et d la. geodesie 

 en particular. Bruxelles, 8vo. 



This is a standard work on the subject. 



1853 LiAGRK. 'Sur I'erreur probable d'un passage observe a la 

 lunnette meridienne de TObservatoire royal de Bruxelles.' Pull. 

 Acad. Belgique, Vol. XX, Pt. II, pp. 303-312. 



1853 QuETELET. Theorie des prohcd)ilites. Bruxelles, 12mo, pp. 104. 



1853 Wolf. Versuche zur Vergleichung der mathemathischen 

 Wahrscheinlichkeit. Mittheil. Qesett. Pern for 1853, pp. 23-28. 

 See also 1849 Wolf. 



1);!53 . Tafehi zur Perech^iung der Wahrscheinlichkeit 



des Vorkomruens von Peohachtungsfehler. Berlin, lith. MS., 4to, pp. 11. 



1 854 d' Arrest. ' Beitrag zur Methode der kleinsten Quadrate.' 

 Pericht. ISdchslch. GeselL, 1854, ]ip. 133-136. — Astron. Nachr., 

 Vol. XLI, col. 35-40. 



Points out six new geometrical properties of the probability curve, 

 and shows how its equation may be deri\ ed from a certain mechani- 

 cal idea. 



