Incenter centers known to the ancient Greeks, and the only one that does not in general lie on the Euler line. It is the first listed center, X(1), in Clark Kimberling's Encyclopedia of Triangle Centers, and the identity element of the multiplicative group of triangle centers. For polygons with more than three sides, the incenter only exists for tangential polygons—those that have an incircle that is tangent to each side of the polygon. In this case the incenter is the center of this circle and is equally distant from all sides. It is a theorem in Euclidean geometry that the three
All Sides All Sides All Sides is the sixth studio album by O.A.R., which was released on July 15, 2008 by Everfine Records, Lava Records and Atlantic Recording Corporation. Marc Roberge revealed in an interview with Songfacts that "Dinner Last Night" was inspired by an episode of "Seinfeld". The album was generally received negatively among professional reviewers. Rolling Stone attributes the album's failure to a change in the group's style, calling the album "a poor man's Goo Goo Dolls". Allmusic claims, "O.A.R. wasn't designed for Top 40 radio, which makes "All Sides"...disappointing." The album was the band's highest charting prior to the