Trisect an interval on a line: Trisect [-2, 14].
We can find the distance, d, between the points with the Distance Formula, and then add one third of it to find the left trisecting point. From the distance formula,
.
Hence the left trisecting point is at
.
The right trisecting point is the same distance further to the right at
.
We can check these results by adding the same distance to c2 to see if we get the right end of the original interval:
, as expected.