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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

2009.0. "Crux Mathematicorum 2072" by RUSURE::EDP (Always mount a scratch monkey.) Tue Oct 31 1995 19:03

    Proposed by K. R. S. Sastry, Dodballapur, India.
    
    Find positive integers x, y, u, v such that
    
    	x^2 + y^2 = u^2    and    x^2 - xy + y^2 = v^2.
    
    (Equivalently, find a right-angled triangle with integral sides x, y
    surrounding the right angle and a triangle with sides x, y surrounding
    a 60-degree angle, and with the third side an integer in both cases.)
T.RTitleUserPersonal
Name
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2009.1CSC32::D_DERAMODan D'Eramo, Customer Support CenterWed Nov 01 1995 20:514
        One possibility is <x,y,u,v> = <15n,8n,17n,13n> for positive
        integral n.
        
        Dan
2009.2RUSURE::EDPAlways mount a scratch monkey.Mon Nov 18 1996 11:5751