The more serious the charge, the more serious the penalties: 1  Assault and Battery 1st degree; Up to 10 years in jail. 2  Assault and Battery 2nd degree; Up to three years in jail and/or a fine up to $2,500. 3  Assault and Battery 3rd degree; Up to 30 days in jail and/or a fine up to $500.
Definition of HYPOCYCLOID. : a curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle.ADVERTISEMENT. a curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle. ADVERTISEMENT.
A cycloid is the curve defined by the path of a point on the edge of a circular wheel as the wheel rolls along a straight line. It was named by Galileo in 1599 (http://en.wikipedia.org/wiki/Cycloid). A hypocycloid is a curve generated by the trace of a fixed point on a small circle that rolls within a larger circle.It is comparable to the cycloid, but instead of the circle rolling along a line, it rolls within a circle. Use Google to find a wonderful book of Eli Maor, Trigonometric Delights (Princeton, New Jersey).ence, let us find the parametric equations of the hypocycloid. A point on a circle of radius r rolls on the inside of a fixed circle of radius R. Let C be the center of the rolling circle, and P a point on the moving circle.