44 Colorado College Studies. 



a Cube" (Vol. I, No. 11). In Oar Sehooldaij Visitor of 1871 is 

 an article on our topic. In the Mathematical Visitor he solved 

 Diophantine problems numbered 21, 65, 112, 129, 197. Other 

 solutions of his are given in Dr. Matteson's collection. The 

 Mathematical Visitor contains Diophantine solutions by Asher 

 B. Evans (114), Rev. U. Jesse Koisely (123), Reuben Davis 

 (126, 129), Josiah H. Drummond (114), George Eastwood (177), 

 Sylvester Robins (179), Samuel Roberts (185), William 

 Hoover (191). 



In Vol. I, No. 5, of the Mathematical Magazine Dr. Martin 

 quotes from sheets bound in a copy of J. R. Young's algebra, 

 once owned by Abij-ih McClean, of New Lisbon, Ohio, some 

 curious properties of numbers. Among other cariosities are 

 given 27 numbers, all squares, composed of the nine digits, 

 each digit being used once and but once. Dr. James 

 Matteson was able, however, to add another number to the 

 27 of McCleau, possessing the above property. In dis- 

 covering these numbers Barlow's Table of Square Numbers 

 was made use of. We are told that in 1835 an anonymous 

 writer in the Stanford Sentinel challenged the entire faculty of 

 Yale College to arrange the nine digits in such order as to form 

 a perfect square. It will be seen that this is the same problem 

 as the one given by McClean. A. D. Stanley, who then occu- 

 pied the mathematical chair at Yale, a few days after the chal- 

 lenge, published one solution and called upon the proposer to 

 produce other answers, as there was more than one. The 

 opponent made an evasive reply, stating that there were nine 

 solutions, but Stanley found twenty-eight different ones. 



Neat solutions of Diophantine questions were published by 

 Dr. Artemas Martin. In 1875 and '76 he communicated a series 

 of sixteen articles to the Xormal Monthly; in 1874 he wrote for 

 the Analyst on the difficult problem to divide unity in three 

 such parts that if each part be increased by unity^the sum shall 

 be three rational cubes. Solutions of the same problem were 

 giA'en by William Leuhart, by Reuben Davis, of Bradford, 111., 



