1. The lemniscate of Bernoulli was first conceived by Jacob Bernoulli in 1694. 2. Here is a chart for twice the first Lemniscate constant. 3. The name comes from the shape its central lemniscate takes when graphed. 4. In this case the sinusoidal spiral is a polynomial lemniscate 5. Among the best known of these curves are the lemniscate , lima�on, and cardioid. 6. Notationally, we would replace " n " above by the lemniscate ". 7. After Gauss had died it was discovered that he had discovered a corresponding double periodicity in his lemniscate elliptic function. 8. This lemniscate was first described in 1694 by Jakob Bernoulli as a modification of an ellipse, which is the constant. 9. Usually, the arclength of a lemniscate of radius = 1, or twice the first lemniscate constant, is calculated. 10. Usually, the arclength of a lemniscate of radius = 1, or twice the first lemniscate constant, is calculated.