Georgetown University Math Club

 As of fall 2005, we meet on Wednesdays at approximately 8:00 PM near Reiss 256. For information, contact vogta@georgetown.edu by e-mail. 

ARCHIVAL PROBLEMS : 

1. With a compass and a straight edge only, construct : 

(i) an equilateral triangle 
(ii) a square 
(iii) a regular pentagon. 

(Credit to William Dunham, Gauss, and Euclid) 

2. Sum the followng sequences: 

(i) ((-1)^(n+1) )(1/n) for n =1, 2, ... 
(ii) ((-1)^(n+1))(n^2)/(n^3 + 1) for n = 1, 2,... . 

(Credit to George Benke, Richard Askey, and the Seattle MathFest) 

PROBLEM (posed 10-07-03) : 

Suppose you intersect a 2 by 2 rectangle with a 1 by 3 rectangle
in such a way that they are coplanar and one side of each rectangle is 
parallel to, or collinear with, one side of the other. 

Now do the same with a pair of 1 by 2 rectangles. 

What are the possible figures you get in each case? 

Send solutions or comments to Math Club at the e-mail address: vogt@math.georgetown.edu . 
 

Chapter Members

Board of Directors: 

        The above officers and 
         John Limarzi  
         Raj Olympia(Webmaster) 
         Daniel Rendleman 
          

Members:

Ibrahim Cotran

and many others ...

 
 
 
 
 
 

Faculty Advisor:

Andrew Vogt