Konstrukce elipsy z definice

X_2

X_1

celé kružnice

stopa kružnic

stopa průsečíků

elipsa

Reset

Bod P je posuvný

|XE|+|XF|=2a

2a>|EF|

a = 4 (slider from e + 1 to 8, step 1)
A = (-4, -4.5)
c = Circle(A, (2 * a))
a_1 = OrthogonalLine(A, yAxis)
B = Intersect(c, a_1, 1)
i = Segment((x(A) + 1, y(A)), (x(B) - 1, y(B)))
e = 3 (slider from -5 to 5, step 1)
b_1 = Segment(A, B)
P = Point(i)
r_1 = Segment(A, P)
r_2 = Segment(P, B)
E: ((-e), 0)
F: (e, 0)
text1: "2a=" + (LaTeX[(2 * a)]) + ""
S = (0, 0)
d = Segment(((-a) - 1, 0), (a + 1, 0))
b: sqrt(a^(2) - e^(2))
f = Segment((0, (-b) - 1), (0, b + 1))
g = Circle(E, r_1)
h = Circle(F, r_2)
D, G = Intersect(h, g)
DD: D
GG: G
j = Segment(E, G)
k = Segment(G, F)
gg: g
hh: h
l = false
ggg: g
hhh: h
m = false
n = false
H: (16 + m + n, (-2))
D1: D
G1: G
o = false
p = Segment(S, F)
q = Segment(S, E)
r = Ellipse(E, F, a)
C = Point(i)
mnohoúhelník2, e_1, f_1, g_1, h_1 = Polygon((-8, -8), (8, -8), (8, -3.5), (-8, -3.5))
mnohoúhelník1, s, t, c_1, d_1 = Polygon((5, -10.5), (14, -10.5), (14, 7.5), (5, 7.5))