226 Mansfield Merrhnan — List of Writings relating 



1876 Bauernfeixd, ' Methode cler kleinsten Quadrate.' Ele- 

 mente der Vermessnngskunde (Stuttgart, fifth edition, 2 vols., 8vo), 

 Vol. II, pp. 4-30. 



All elementary sketch of the method. 



1876 Chambers (C.) and Chambers (F.). 'On the Mathematical 

 Expression of Observations of Complex Periodical Phenomena ; and 

 on Planetary Influence on the Earth's Magnetism.' Pliil. Trans. 

 Lond., Vol. CLXV, pp. 361-402. 



1876 UeForest. '■ Interpolation and Adjvsttnetit of Series.'' New 

 Haven, 8vo, pp. 52. 



A supplement to his memoirs of 1873. Besides other valuable 

 matter, methods for finding probable errors of adjusted terms are 

 given. 



1876 Ferrero. Esposizione del metodo dei minimi quadrati. 

 Firenze, 8vo, pp. 234, 



1876 Hagen. ' TJntersachungen iiher die gleichformige Sewegung 

 des Wassers.'' Berlin, 8vo, pp. 104. 



All known observations on the mean velocity of rivers are dis- 

 cussed by the Method of Least Squares, and the most probable law 

 and formula for mean velocity are deduced. 



1876 Helmert. 'Die Genauigkeit der Formel von Peters zur 

 Berechnung des wahrscheinlichen Fehlers directer Beobachfcungen 

 gleicher Genauigkeit.' Astron. JVachr., Vol. LXXXVIII, col, 

 113-132. 



Simplifications are given of Helmert's formula of 1875, and the 

 formulae of Fechner, Jordan and Andra (see 1869-1874) are 

 discussed, 



1867 Helmert, Ueber die Wahrscheinlichkeit der Potenzsum- 

 men der Beobachtungsfehler und tiber einige damit im Zusammen- 

 hang stehende Frage. Zeitschr. Math. %i. Phys.^ Vol. XX, pp. 

 192-218. 



1876 KuMMELL. 'New Investigation of the Law of Errors of 

 Observation.' Tlie Analyst, Vol III, pp. 133-140, 165-171. 



Hagen's proof of 1837 is given abbreviated and improved, and the 

 usual rules for normal equations and probable errors are deduced. 

 The probability to commit no error at all is regarded as an absolute 

 constant. See Jour. FranMin Inst., 1877, Vol. CIV, pp. 270-274. 



