\r\n" );
document.write( "a+b+c = 
\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by (a+b+c)\r\n" );
document.write( "\r\n" );
document.write( "(a+b+c)² = 1\r\n" );
document.write( "\r\n" );
document.write( "Take positive square roots of both sides:\r\n" );
document.write( "\r\n" );
document.write( "a+b+c = 1\r\n" );
document.write( "\r\n" );
document.write( "So we just need three fractions that have sum = 1\r\n" );
document.write( "\r\n" );
document.write( "To do that take any 3 integers, say 1, 4 and 5\r\n" );
document.write( "\r\n" );
document.write( "Put their sum over itself and that will equal 1\r\n" );
document.write( "\r\n" );
document.write( "
= 1 \r\n" );
document.write( "\r\n" );
document.write( "Add the terms in the denominator but leave the numerator\r\n" );
document.write( "terms added:\r\n" );
document.write( "\r\n" );
document.write( "
= 1\r\n" );
document.write( "\r\n" );
document.write( "Write as the sum of three fractions:\r\n" );
document.write( "\r\n" );
document.write( "
+ 
+ 
= 1\r\n" );
document.write( "\r\n" );
document.write( "Reduce any that will reduce:\r\n" );
document.write( "\r\n" );
document.write( " + 
+ 
= 1\r\n" );
document.write( "\r\n" );
document.write( "So a=, b=, c=\r\n" );
document.write( "\r\n" );
document.write( "------------------\r\n" );
document.write( "\r\n" );
document.write( "There is no end to the number of different possibilities following that recipe:\r\n" );
document.write( "\r\n" );
document.write( "
= 
= 
+ 
+ 
= + 
+ = 1\r\n" );
document.write( "\r\n" );
document.write( "
= 
= 
+ 
+ 
= + + = 1\r\n" );
document.write( "\r\n" );
document.write( "
= 
= 
+ 
+ 
= + 
+ = 1\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
