5l6 TRANS. ST. LOUIS ACAD. SCIENCE. 



for all practical purposes. But the relation is not a rational one, 

 since it cannot be supposed that the horse will really attain his 

 limiting speed in a finite time. After he had come within a 

 thousandth of a second, it would take a great interval of time to 

 compass the next millionth of a second. Furthermore, this equa- 

 tion could not hold for values of Z* greater than -j-, as the value 

 of s would then begin to increase according to equation (8). I 

 therefore claim that equation (4), in all probability, represents 

 the relation between the values of ^ and T, and that the constants 

 in the equation will be determined with greater and greater pre- 

 cision as the data becomes more and more complete. 



Magnetic Survey of Missouri. Fifth Annual Report. 



By Francis E. Nipher. 



During the summer of 1882 the survey was continued under 

 the same auspices as in the previous year. The friend who fur- 

 nished the entire means for conducting the work enlarged upon 

 his former bounty, and furnished the party with two fine spring- 

 wagons designed with reference to the needs of camp life, and 

 provided with all needed conveniences. Two paid assistants, 

 Messrs. Joseph Cunningham and Albert Meyer, were also sent 

 with the expedition, and Mr. Frank Ringling of the Sophomore 

 class accompanied the expedition as volunteer assistant, paying 

 his own expenses. 



The work of the summer was interfered with in a serious man- 

 ner by the sickness of the horses, and more particularly by the 

 horrible condition of the roads, due to heavy and long-continued 

 rains. During the entire summer we were compelled to improve 

 roads and fords, and to build bridges, and this frequently took 

 up a quarter of our time during an entire week. This made it 

 impossible to make complete observations after Aug. 7th, as we 

 were obliged to travel every day in order to reach St. Louis with- 

 in the time which could be devoted to the survey. After the 

 above date, therefore, only declination observations were made, 

 the magnetic meridian being determined from the morning elonga- 



