87 



lasting esteem of his students and his colleagues, and by his devotion to 

 his science a lasting name among his contemporaries. 



The Observatory was formally dedicated May 15, 19()1. The dedica- 

 tory address was giveu by Astronomer AV. J. Hussey, astronomer in the 

 Lick Observatory. He spoke of "Astronomy and Modern Life." President 

 Swain spoke of "Personal Recollections of Dr. Kirkwood." 



Daylight Meteors. 

 John A. Miller. 



The Center of Population of the United States. 

 John A. Miller. 



A Theorem in Geometry. 

 John C. Gregg. 

 DEF is the triangle formed by the tangents at the vertices of a triangle ABC 

 inscribed in the circle O. Draw EOP meeting BC in P and join PF. Show 

 that EPF is a right angle. 2) 



Demonstration. 



Draw FG perpendicular to CA pro- 

 duced, and join OF. Denote the angles 

 of ABC by A, B, C, and the sides by a, 

 b, c. Then 



FG = AFsin B 



-= — sec C sin B 

 ^— sin C sec C 



= y tanC 



= HP, which is perpendicu- 

 lar to CO. Hence HPFG is a rectangle and EPF is a right angle. 



