ΤΥΠΟΣ ΕΛΛΕΙΨΗΣ

ΕΣΤΙΕΣ

ΤΥΠΟΣ ΕΛΛΕΙΨΗΣ

ΤΥΠΟΣ ΚΥΚΛΟΥ

K(0,0)

 Η έλλειψη:$ \frac{x^2}{α^2} + \frac{y^2}{β^2} = 1$

ΚΕΝΤΡΟ ΚΥΚΛΟΥ

ΕΚΚΕΝΤΡΟΤΗΤΑ

ΑΠΟΣΤΑΣΗ ΕΣΤΙΩΝ

Α = (-4, 0)
Β = (4, 0)
c = Circle(Α, 2)
d = Circle(Β, 8)
Γ, Δ = Intersect(c, d)
e = Circle(Α, 3)
f = Circle(Β, 7)
Ε, Ζ = Intersect(e, f)
g = Circle(Α, 4)
h = Circle(Β, 6)
Η, Θ = Intersect(g, h)
k = Conic(Γ, Δ, Θ, Η, Ε)
a_1 = Simplify(-81.05 * x^(2) - 225.15 * y^(2) - 2026.37)
Ι = Point(k)
C_1 = Ellipse(Α, Β, Ι)
q(x, y) = x^(2) / 25 + y^(2) / 9 - 1
r(x, y) = x^(2) / 25 + y^(2) / 9
i = true
l = true
m = true
Κ_1 = Point(xAxis)
"Ε_2 =  " + (ΤύποςΚειμένου[Β]) + "": "Ε_2  " + (LaTeX[Β]) + ""
Μ, Ν = Intersect(C_1, yAxis)
Σ, Κ = Intersect(C_1, xAxis)
β = 3 (slider from 1 to 10, step 1)
α = 4 (slider from 1 to 10, step 1)
C_2: x^(2) / α^(2) + y^(2) / β^(2) = 1
κείμενο1: "\frac{x^2}{" + (LaTeX[α^(2)]) + "}+\frac{y^2}{" + (LaTeX[β^(2)]) + "} = 1"
n: α^(2) - β^(2)
t: sqrt(n)
j = true
o = false
κείμενο2 = If(α ≠ β, "", "ΕΙΝΑΙ ΚΥΚΛΟΣ")
c_1: x^(2) + y^(2) = α^(2)
κείμενο3: "x^2+y^2=" + (LaTeX[α^(2)]) + ""
u = false
Ξ: (-α, 0)
Ο: (α, 0)
Π: (0, -β)
Τ: (0, β)
v: β - α
b_1 = true
d_1 = true
e_1 = true
f_1 = Eccentricity(x^(2) / α^(2) + y^(2) / β^(2) = 1)
g_1 = false
κείμενο4: "ε = $ " + (LaTeX[f_1]) + "$"
κείμενο8 = If(α ≠ β, "", "Η ΚΑΜΠΥΛΗ ΕΙΝΑΙ ΚΥΚΛΟΣ!")
Ε_1, E_2 = Focus(x^(2) / α^(2) + y^(2) / β^(2) = 1)
απόστασηΕ1E2 = Distance(Ε_1, E_2)
ΚείμενοΕ1E2: "\overline{" + (Name[Ε_1]) + "" + (Name[E_2]) + "} \, = \, " + (LaTeX[απόστασηΕ1E2]) + ""
w = false
z = true