1. The inradius of a regular polygon is also called apothem . 2. The word " apothem " can also refer to the length of that line segment. 3. The only definition of apothem I have been able to find is the math one. 4. For a regular plane parallel to the base ), the apothem is the height of a trapezoidal lateral face. 5. One of the literary critics I am citing calls that famous line " Beauty is truth, truth beauty " an apothem . 6. Finding the limit as the number of sides of a regular polygon approaches infinity of the ratio of its area to its apothem squared gave me: 7. :( ec ) It seems'apothem 'here is an alternative spelling of talk ) 14 : 54, 12 February 2013 ( UTC) 8. The apothem is half the cotangent of \ pi / 7, and the area of each of the 14 small triangles is one-fourth of the apothem. 9. The apothem is half the cotangent of \ pi / 7, and the area of each of the 14 small triangles is one-fourth of the apothem . 10. My question is ( thank God, right ? ) : what is the difference in meaning between apothem and maxim ( which Havens uses as a synonym for apothem )?