We know that an exists that equal to This is very powerful in competition math problems. Usually coming up on JMO and AMO geo problems. The Euler Line intersects the radical axis at where is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the th root unity is the same thing as Finally, you'll se it in combo! The number ways you can shuffle things into items where is the number of partitions in an item is the My coach Iyer Sir approved this nice lemma.