A Brocard point is the intersection point of three circles that pass through two vertices at a time. The difference between the Brocard Points depends on the order in which the angles of triangle ABC are taken. [b]Check the boxes and move the points around![/b][br][color=#888]*Warning: Do not cross a vertex over its respective side because the structures will not appear.[/color]

[color=#555]Do you notice any similarities between the angles as the points are moved?[br]Since you know how the First Brocard Point is found, can you guess how the Second Brocard Point is found? Do you see any similarities or patterns concerning the circles? [i](Hint: try checking only the boxes for Step 4, Step 5, the First Brocard Point, and the Second Brocard Point)[/i][/color]