Roulette (curve) in this case, the point lies on the circle then the roulette is a cycloid. A related concept is a glissette, the curve described by a point attached to a given curve as it slides along two (or more) given curves. Formally speaking, the curves must be differentiable curves in the Euclidean plane. The "fixed curve" is kept invariant; the "rolling curve" is subjected to a continuous congruence transformation such that at all times the curves are tangent at a point of contact that moves with the same speed when taken along either curve (another way to express this constraint
Grading on a curve can increase competitiveness between students and affect their sense of faculty fairness in a class. Students are generally most upset in the case that the curve lowered their grade compared to what they would have received if a curve was not used. To ensure that this does not happen, teachers usually put forth effort to ensure that the test itself is hard enough when they intend to use a grading curve, such that they would expect the average student to get a lower raw score than the score intended to be used at the average in the curve, thus ensuring