Perspective Ellipse Construction

Construct an ellipse using perspective methods. Start by drawing a line f through points A and B, then take point C on f. Construct the perpendicular line g to f through C, and take point D on g. Draw line segment h from D to B, then take point E on g and draw line segment i from E to B. Construct a circle c with diameter DE, draw the perpendicular line j to g through D, and find point F at the intersection of c and j. Draw the perpendicular lines k through F and l through E, and find the midpoints G and H of FD and DE, respectively. Construct a circle d with diameter GH, find point J at the intersection of k and l, draw line segment p from D to F, line segment q from F to J, and line segment r from J to E. Take point I on h, draw the line s through I perpendicular to g, find point K at the intersection of d and g, draw line segment t from K to B, find point L at the intersection of s and t, and find point M at the intersection of s and i. Draw line a through J and M, line b through F and I, find point N at the intersection of a and f, draw line segment e from H to N, find point O at the intersection of e and h, draw the perpendicular line f_1 to f through O, find point P at the intersection of f_1 and i, find point Q on d, draw the line g_1 through Q perpendicular to r, find point R at the intersection of g and g_1, draw line segment h_1 from R to B, draw line segment i_1 from Q to N, and find point S at the intersection of h_1 and i_1. Construct an ellipse c_1 with foci K, O, L, P, and S, and draw line segments j_1 from D to E, k_1 from I to M, and l_1 from Q to R.