Kosinová věta

c² = a² + b² - 2abcosγ

γ

množiny bodů pro C - pravoúhlý

bod C je pohyblivý

a

b

c

α

β

plochy

C = (3.3782744064171797, 5.7966053427152895)
A = (0.809714074814422, -1.2281589892203861)
B = (7.216863796624045, -1.1908325960244268)
a = Line(C, B)
b = Line(B, A)
c = Line(A, C)
d = OrthogonalLine(C, b)
e = OrthogonalLine(B, c)
f = OrthogonalLine(A, a)
mnohoúhelník1, g, h, i, j, B_1, C_2 = Polygon(C, B, 4)
mnohoúhelník2, k, l, m, n, C_1, A_2 = Polygon(A, C, 4)
mnohoúhelník3, p, q, r, s, A_1, B_2 = Polygon(B, A, 4)
J = Intersect(f, a)
K = Intersect(e, c)
L = Intersect(b, d)
t = Line(C_2, B_1)
M = Intersect(f, t)
a_1 = Line(A_2, C_1)
N = Intersect(e, a_1)
mnohoúhelník4, a_2, k_1, n_1, f_1 = Polygon(C, K, N, C_1)
mnohoúhelník5, j_1, a_3, e_1, m_1 = Polygon(J, C, C_2, M)
b_1 = Line(A_1, B_2)
O = Intersect(b_1, d)
c_1 = Segment(C, L)
d_1 = Segment(A, J)
g_1 = Segment(K, B)
mnohoúhelník6, k_2, a_4, g_2, n_2 = Polygon(K, A, A_2, N)
mnohoúhelník7, j_2, b_2, d_2, m_2 = Polygon(J, B, B_1, M)
mnohoúhelník8, h_1, o, l_1, a_5 = Polygon(A_1, O, L, A)
mnohoúhelník9, l_2, b_3, i_1, o_1 = Polygon(L, B, B_2, O)
p_1 = Semicircle(A, B)
q_1 = Line(B, B_2)
r_1 = Line(A, A_1)
s_1 = Segment(C, B)
t_1 = Segment(C, A)
c_2 = Segment(A, B)
α = Angle(A, C, B)
v = false
D = Midpoint(C, B)
E = Midpoint(C, A)
F = Midpoint(A, B)
β = Angle(B, A, C)
γ = Angle(C, B, A)
G = Centroid(Polygon[K, A, A_2, N])
H = Centroid(Polygon[C, K, N, C_1])
I = Centroid(Polygon[C, K, N, C_1])
P = Centroid(Polygon[J, C, C_2, M])
Q = Centroid(Polygon[J, B, B_1, M])
R = Centroid(Polygon[L, B, B_2, O])
S = Centroid(Polygon[A_1, O, L, A])
text10: "ac.cosβ" + "
 " + mnohoúhelník9
text11: "bc.cosα" + "
 " + mnohoúhelník8
u = false
text8: "ab.cosγ
 " + mnohoúhelník5 + ""
text9: "ac.cosβ
 " + mnohoúhelník7 + ""
text7: "ab.cosγ
 " + mnohoúhelník4 + ""
text6: "bc.cosα
 " + mnohoúhelník6 + ""