An Analytic Approach to the Euler Line
In the November 1982 Classroom Capsules Column, Norman Schaumberger presented a demonstration of the Euler line using vector methods. It may be interesting to supplement Schaumberger's argument, which has a distinct geometric flavor, with the following analytic approach.
Lewin, J. W. (1984). An analytic approach to the euler line. The College Mathematics Journal, 15(1), 52-53.