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Question: Is there a triangle like this?

Question:Is there a triangle like this?

toandhsp 300
September 14 2013
0

This is my question that I posted at http://mathematica.stackexchange.com/questions/32338/is-there-a-triangle-like-this "I want to find the numbers $a$, $b$, $c$, $d$ of the function $y = \dfrac{a x + b}{c x + d}$ so that the triangle $ABC$ with three points  $A$, $B$, $C$  have integer coordinates and lies on the graph of the given function, then the centroid of the triangle $ABC$ (have also integer coordinates) is also lies on the graph". The ansewr at that site is yes. But, he said "I think I was just lucky to get an integer solution since I haven't imposed all the constraints". 
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