Kolmnurk, kolmnurg ümber- ja siseringjoon
Author: Agnes Kaio
Date: 17 Märts 2014

a

b

O_v

Kolmnurga ümberringjoon

Kolmnurga siseringjoon

Kolmnurk

Kolmnurk, kolmnurga ümber- ja siseringjoon

Peida ümberringjoon

Peida siseringjoon

Peida ümberringjoone arvutused

Peida siseringjoone arvutused

Peida kolmnurga arvutused

Peida nurgad

a_1 = 6.8 (slider from 1 to 10, step 0.1)
C = (2.3776254602844844, -3.765112848035105)
a_2: abs(a_1)
B = Point(Circle[C, abs(a_1)])
a_4 = Segment(C, B)
b_1 = 8.1 (slider from 1 to 10, step 0.1)
c_2: abs(b_1)
A = Point(Circle[C, abs(b_1)])
b_3 = Segment(C, A)
c_3 = Segment(A, B)
hulknurk1, b, a, c = Polygon(A, C, B)
d = LineBisector(A, B)
e = LineBisector(C, B)
D = Intersect(d, e)
r_v = Segment(D, B)
f = Circle(D, A)
g = AngularBisector(A, B, C)
h_1 = AngularBisector(A, C, B)
O_s = Intersect(h_1, g)
i = OrthogonalLine(O_s, b_3)
E = Intersect(i, b_3)
r_s = Segment(E, O_s)
k = Circle(O_s, E)
j = OrthogonalLine(C, c_3)
F = Intersect(j, c_3)
h = Segment(C, F)
γ = Angle(B, C, A)
β = Angle(A, B, C)
α = Angle(C, A, B)
l = Area(f)
m = Area(k)
n = Circumference(f)
o = Circumference(k)
p = Area(hulknurk1)
q = Perimeter(hulknurk1)
tekst9: "P=" + (LaTeX[a]) + "+" + (LaTeX[b]) + "+" + (LaTeX[c]) + "=" + (LaTeX[q]) + ""
r = true
s = true
u = true
v = true
w = true
loend1 = Sequence(hulknurk1, α, β, γ)
z = Sum(loend1)
loend2: {α, β, γ}
δ = Sum(loend2)
t = true
tekst2: "C=2\pi·" + (LaTeX[r_v]) + "≈" + (LaTeX[n]) + ""
tekst3: "S=\pi·" + (LaTeX[r_v]) + "^2≈" + (LaTeX[l]) + ""
tekst5: "C=2\pi·" + (LaTeX[r_s]) + "≈" + (LaTeX[o]) + ""
tekst6: "S=\pi·" + (LaTeX[r_s]) + "^2≈" + (LaTeX[m]) + ""
tekst8: "S=\frac{" + (LaTeX[c]) + "·" + (LaTeX[h]) + "}{2}≈" + (LaTeX[p]) + ""
tekst11: "S=" + (LaTeX[α]) + "+" + (LaTeX[β]) + "+" + (LaTeX[γ]) + "≈" + (LaTeX[δ]) + ""