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Diagram for http://en.wikipedia.org/wiki/Orthocentric_system

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Eukleides code:

box(-2, -2, 8, 6,3)
A B C triangle
H=orthocenter(A,B,C)
draw(H,dot,4)
mark(C,intersection(line(A,B),line(H,C)),B,right)
x=point(line(B,H),6)
mark(x,intersection(line(A,C),line(H,B)),A,right)
y=point(line(A,H),6)
mark(y,intersection(line(B,C),line(H,A)),B,right)
draw(C,dot,4)
draw(B,dot,4)
draw(A,dot,4)
thickness(3)
draw(A,C,H)
draw(line(A,B),dotted)
draw(line(A,C),dotted)
draw(line(B,C),dotted)
draw(line(H,A),dotted)
draw(line(H,B),dotted)
draw(line(H,C),dotted)