522 SCIENCE PROGRESS 



and tenth books of Euclid. H. Wieleitner (20) writes on new 

 researches on the most ancient Arabian mathematics. 



W. H. Bussey (Amer. Math. Monthly, 191 8, 25, 333-7) gives 

 a description of Fermat's " method of infinite descent," which 

 is a kind of parallel to the method of mathematical induction 

 on which Bussey wrote previously (cf. Science Progress, 

 1918, 12, 362). F. Cajori (Amer. Math. Monthly, 1918, 25, 

 291-2), who in 1910 discovered grounds for the attribution of 

 " Rolle's theorem " to Rolle, inquires as to the origin of the 

 name " Rolle's curve." Some information as to the probable 

 connection, through Barrow, of the mathematical methods of 

 Galileo and Newton is given by Philip E. B. Jourdain (Monist, 

 1918, 28, 629-33). A very full annotated translation of C. I. 

 Gerhardt's article of 1891 on the influence of Pascal on Leibniz 

 is given by J. M. Child (ibid. 530-66). Gertrud Klein (18) 

 discusses Euler's solution of the isoperimetric problem. 



F. Amodeo (47) studies the life and work of Ottavio Colecchi 

 ( 1 773-1 847), who was interested in the philosophy of mathe- 

 matics. P. Barbarin (35) writes on the dilemma of Johann 

 Bolyai. With regard to Gauss, the twelfth report of F. Klein 

 (25) on the state of the edition of Gauss's Werke has been 

 published ; of F. Klein, M. Brendel, and L. Schlesinger's 

 (14, 70) Materialien fur eine wissenschaftliche Biographie von 

 Gauss, the fourth part (A. Galle) and fifth part (P. Stackel) 

 were published at Leipzig in 1 9 1 8 ; and A. Loewy ( 1 8) publishes 

 a contribution to Jewish chronology from the papers that 

 Gauss left behind him. 



Of the accounts of the life and work of more modern mathe- 

 maticians we may mention O. Blumenthal's (15) of Karl 

 Schwarzschild, F. Dingeldey's (15) of Sigmund Gundelfinger, 

 E. Study's (16) of Franz London, Th. Schmid's (16) of E. 

 Janisch, S. Pincherle's (47) of Cesare Arzela, and G. Helm's 

 (12) of Ernst Mach. A notice by M. J. M. Hill of the life and 

 work of Olaus Henrici (1 840-1 91 8) is given in Nature (191 8, 

 102, 189-90), and a short sketch of the work of Maxime Bocher, 

 who also died in 191 8, in the Amer. Math. Monthly (191 8, 25, 

 373-4)- Gaston Milhaud, who died on October 1, 1918, in his 

 sixty-first year (Nature, 191 8, 102, 370), had been engaged 

 for some time on a special study of Descartes (cf. Science 

 Progress, 191 8, 13, 1 77). 



S. C. van Veen (51, 52) gives an account of the contributions 



