Cycloid Cycloid A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity, and is also the form of a curve for which the period of an object in descent on the curve does not depend on the object's starting position. The cycloid has been
Elliptic curve point multiplication scalar (integer) "n" and a point that lies on the curve, "E". This type of curve is known as a Weierstrass curve. The security of modern ECC depends on the intractability of determining "n" from given known values of "Q" and "P" if "n" is large (known as the "elliptic curve discrete logarithm problem"). This is because the addition of two points on an elliptic curve (or the addition of one point to itself) yields a third point on the elliptic curve whose location has no immediately obvious relationship to the locations of the first two, and repeating this many