BIBLIOGRAPHICAL NOTES. 539 



CABDINAAL (J.) -The representation of the screws of Ball passing through a point or 

 lying in a plane according to the method of Caporali. Koninklijke Akademie 

 van Wetenschappen te Amsterdam, 23rd Feb. 1899. 



This is a development of a lecture before the Gesellschaft deutscher Natur- 

 forscher und Aerzte, Diisseldorf (Sept. 1898). The object of this memoir is to 

 obtain from the principles of the Theory of Screws a representation of the rays of 

 a certain quadratic complex treated of by R. Sturm and Caporali. See Sturm s 

 Liniengeometrie, iii. pages 438-444. See also a paper by Cardinaal, &quot; Uber die 

 Anwendung der Caporali schen Abbildung des Strahlencomplexes zweiten Grades 

 auf die Bewegung eines starren Korpers mit Freiheit vierten Grades,&quot; Jahresbericht 

 der Deutschen Mathematiker-Vereinigung, vii. 1. This is the lecture above referred 

 to, and it should be studied in connection with the geometrical theory of screw- 

 systems of the fourth order. 



JOLY (C. J.) Asiatics and quaternion functions. Proceedings of the Royal Irish 

 Academy, 3rd Series, Vol. v. No. 3 (pp. 366-369), 1899. 



STUDY (E.) Die Geometric der Dynamen. Deutsche Mathematiker-Vereinigung 

 vni. 1, 1900. 



