184 Mansfield MeTriuian — Lht of Writings relating 



1838 DeMorgan. ' On a Question in tlie Theory of Probabilities.' 

 Trans. Gamh. Phil. Soc, Vol. VI, pp. 423-430. 



"The object of this paper is the correction of an oversight made 

 both by Laplace and M. Poisson in pages 279 and 209 of their 

 respective works on the Theory of Probabilities." 



1838 Puissant. ' Snr l'a]»plication du calcul des prol)abilites a la 

 mesure de la precision d'un grand nivellement geodesique independant 

 des distances respectives des stations.' Comptes Rend. Acad. Paris., 

 Vol. VII, pp. 1132-1135. 



The mean eri'ors of the adjusted elevations are deduced. 



1839 BiEXAY>rE. Theoreme sur la probabilite des resultats moyens 

 des observations. Proces-Verb. Soc. Philom. Paris for 1839, pp. 

 60-65. 



1839 Hansex. 'Auilosung einer allgemeinen Aufgabe aus der 

 Wahrscheinlichkeitsrechnung-.' Astron. JVaehr., Vol. XVI, col. 9-16, 

 27-32. 



On the determination of the values and weights of observed quan- 

 tities subject to conditional equations. A particular case of Han- 

 sen's problem is noted below under 1841. 



1839 .Tahx. JJie WahrschelidichkeitsrecJinuny lond ihre Amaen- 

 dung auf das wissenschaftliche and praktische Leben, Leipzig, 8vo, 

 pp 240. 



1840 Bessel. ' Neue Formel von Jacobi, fiir einen Fall der An- 



wendung der Methode der kleinsten Quadrate.' Astr on. Nadir. .^N o\. 



XVII, col. 305-308. —Abhandl. von Bessel (Leipzig, 1875), Vol. IL 



pp. 401-402. 



Formula^ for solving normal equations containing three unknown 

 quantities and determining at the same time the weights. They are 

 reti-arded by Bessel as shortening considerably the numerical work 

 required by previous methods. See below 1873 Seeligeh. 



1840 Bessel. 'Ein Hulfsmittel zur Erleichterung der Anwendung 

 der Methode der kleinsten Quadrate.' Astron. JVac/ir., Vol. XVII, 

 col. 225-230. — Abhandl. von Bessel, Vol. II, pp. 398-401. 



Computations arising in the formation of normal equations can be 

 shortened by the use of tables of squares of numbers. 



1840 BiENAYME. La Constance des resultats moyens. Proces- 

 Verb. Soc. Philom. Paris for 1840, pp. 19-26. 



