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] [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? 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]