<Dd> A H ⋅ H D = B H ⋅ H E = C H ⋅ H F . (\ displaystyle AH \ cdot HD = BH \ cdot HE = CH \ cdot HF .) </Dd> <Dd> The circle centered at H having radius the square of this constant is the triangle's polar circle . </Dd> <Ul> <Li> The sum of the ratios on the three altitudes of the distance of the orthocenter from the base to the length of the altitude is 1: (This property and the next one are applications of a more general property of any interior point and the three cevians through it .) </Li> </Ul> <Li> The sum of the ratios on the three altitudes of the distance of the orthocenter from the base to the length of the altitude is 1: (This property and the next one are applications of a more general property of any interior point and the three cevians through it .) </Li>

Is the base the longest side of a triangle