To demonstrate the theorem, the student constructed the nine-point circle for the given triangle and highlighted the feet of its altitudes through which the circle passes.

The mathematician compared the nine-point circles of different triangles to uncover unexpected relationships.

In the lecture, the professor compared the properties of several nine points circles drawn from different triangles.

In some older geometry texts, the phrase nine points circle is found as an alternative spelling.

Many farmers still warn their children with the old proverb "possession is nine points of the law" when stressing the importance of keeping clear records.