The Nine-Point Circle Theorem by Annissa Figueroa
Wednesday, February 20, 2019
12 p.m.
Free
Mathematics Seminar
The Nine-Point Circle Theorem is a concept in Euclidean geometry concerning the Euler circle. Various mathematicians contributing their ideas and proofs created this theorem gradually over about forty years. It states that given any triangle, there lies a circle that goes through nine points associated with the triangle. This theorem has contributed to many theorems and is referenced in proofs. Therefore, understanding how this is created will enable further knowledge of other mathematical concepts. We will recall the definition of midpoint, altitude, and orthocenter to understand how the nine points are constructed. This talk will review material used in geometry; therefore, prior knowledge in geometry is useful, but not necessary.