| 摘要 |
PURPOSE:To quickly calculate the coordinates of elliptic components in a simple way by showing the elliptic components in a train of points, calculating previously the coordinates of a specific point by a trigonomertrical function, and then calculating in sequence the coordinates of other subsequenct points by the simple operations of addition, subtraction and multiplication. CONSTITUTION:In regard of an ordinary ellipse drawn on a plane of coordinate X-Y, a major axis (a) and a minor axis (b) of the ellipse including the elliptic components are together with an angle PHI set between an elliptic principal axis and an axis X, an angle psi set between the start point of an elliptic arc and the elliptic principal axis, an angle psi set by the elliptic arc, and the coordinates x0 and y0 of the center point of the ellipse respectively. Under such conditions, the elliptic components are shown in (2N+1) trains of points of P1-P2N+1. Then the initial values are defined as theta=psi/N and epsilon=2sin(theta/2), and an equation I is acquired from an equation I with a calculation loop n=1 to N. The calculated output (x0+X2n, y0+Y2n) of an even point and the output (x0+X2n+1, y0+Y2n+1) of an odd point show the coordinates of trains of points of the elliptic components respectively. Thus the coordinates of elliptic components can be quickly calculated. |
