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Ukáž Elipsu

a

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b

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C(0,b)

D(0,-b)

B(-a,0)

A(a,0)

pencil

Legenda

Bodová konštrukcia elipsy

a_1 = 8.1 (slider from 6.5 to 10, step 0.1)
J = (-5.943428571428573, -5.5192380952380855)
B_{1}: (x(Corner[4]), y(Corner[1]) + (0.21 * Distance[Corner[3], Corner[2]]))
i = Line(B_{1}, xAxis)
D_{1} = Point(i)
E = Point(Circle[D_{1}, a_1])
C_{1}: D_{1}
S = Intersect(xAxis, yAxis)
xx = Ray((0.01, 0), (1, 0))
yy = Ray((0.01, 0), (0, 1))
axis: {xx, yy}
F_1 = Point(axis)
F_2 = Mirror(F_1, S)
aa = Segment(C_{1}, E)
a: aa / 2
f_1 = Segment(D_{1}, E)
e = Circle(F_2, a)
d = Circle(F_1, a)
P, G = Intersect(e, d)
f = Ellipse(F_2, F_1, P)
M = Point(f)
c = Distance(S, F_1)
b_{sq}: a^(2) - c^(2)
b = Segment(F_2, M)
g = Segment(M, F_1)
PP: M
F: (x(M) - 0.2, y(M))
H = (1.6, 3.3400000000000007)
I = (2, 3.3400000000000007)
h = true
trace = true
sh = If(aa > (2 * c), true, false)
sum: b + g
text2: "" + (LaTeX[b]) + "+" + (LaTeX[g]) + "=" + (LaTeX[sum]) + ""
Bottom, j, k, l, m = Polygon(Corner[1], Corner[2], (x(Corner[2]), y(Corner[2]) + (0.28 * Distance[Corner[3], Corner[2]])), (x(Corner[4]), y(Corner[1]) + (0.28 * Distance[Corner[3], Corner[2]])))
test = false
n = Line(F_1, F_2)
p = OrthogonalLine(S, n)
A_{1}, K = Intersect(f, n)
L, M_{1} = Intersect(f, p)
K1 = Point(K, Vector[((UnitVector[p] * 1.2) * a)])
K1' = Mirror(K1, p)
u = Vector(K1, K)
v = Vector(K1', A_{1})
q = Segment(K1, K1')
N = Midpoint(q)
M1 = Point(M_{1}, Vector[(-(((UnitVector[n] * 1.28) * a)))])
M1' = Mirror(M1, n)
r = Segment(M1, M1')
w = Vector(M1', L)
s = Vector(M1, M_{1})
Q = Midpoint(r)
o = false
PO = If(y(M_{1}) > 0, M_{1}, L)
NE = If(y(M_{1}) < 0, M_{1}, L)
t = true
text1: "Sprievodiče s dĺžkou " + aa + ""
A, B = Intersect(f, xAxis)
D, C = Intersect(f, yAxis)