Ellipse Construction 18
Author: M. Dabbs, R. Walcott

Drag the generator point G.  Move points P and Q.

Double click to open independently.

Ellipse

Hyperbola

A = (-3.8415841584158414, 1.5977950819672133)
B = (-2.237623762376238, 10.020739526411658)
a = Line(A, B)
G = Point(a)
b = OrthogonalLine(G, a)
P = (0.31683168316831684, 9.80375500910747)
Q = (2.6930693069306932, 3.688736794171221)
c = OrthogonalLine(P, b)
d = OrthogonalLine(Q, b)
F = Intersect(c, b)
G_1 = Intersect(d, b)
e = Segment(P, F)
f = Segment(G_1, Q)
g = Circle(G_1, Q)
h = Circle(F, P)
H, I = Intersect(g, h)
loc1 = Locus(H, G)
loc2 = Locus(I, G)
i = true
k = Circle(P, F)
p = Circle(Q, G_1)
C, J = Intersect(k, p)
loc3 = Locus(J, G)
loc4 = Locus(C, G)
j = false