π

0

|ΔABC|/2

neu zeichnen

A = (-0.6668111614547755, -0.3356133788805053)
B = (6, 0.6)
C = (4.5844887502683855, 5.470540863137926)
ABC, c, a, b = Polygon(A, B, C)
S = Schwerpunkt(A, B, C)
β = Angle(C, B, A)
γ = Angle(A, C, B)
P = (2.959558211546502, 1.7649065858087567)
A' = Mirror(A, P)
B' = Mirror(B, P)
C' = Mirror(C, P)
ABC', c', a', b' = Polygon(A', B', C')
Q_A = Intersect(c', b)
R_B = Intersect(c', a)
Q_C = Intersect(a', b)
Q_B = Intersect(a', c)
R_A = Intersect(c, b')
R_C = Intersect(b', a)
M_b = Midpoint(b)
M_a = Midpoint(a)
M_c = Midpoint(c)
MaMbMc, m_c, m_a, m_b = Polygon(M_a, M_b, M_c)
g_B = Segment(R_B, Q_B)
g_A = Segment(Q_A, R_A)
g_C = Segment(Q_C, R_C)
h = Segment(C, P)
H = (3.141592653589793, 0)
J: (0, ABC / 2)
k = Line(J, xAxis)
phi = 1.064650843716541 rad (slider from 0 to 180*°, step 0.017453292519943295)
C'_1 = Rotate(C, phi, P)
φ = Angle(C, P, C'_1)
g = Line(C'_1, P)
E = Intersect(g, c)
Q, R = Intersect(g, ABC)
FG, q, a_1, b_1, r = Polygon(Q, A, B, R)
F_φ: (phi, FG)
G_φ: (phi, ABC - FG)
D = (3.141592653589793, 0)
i = Line(J, xAxis)
j = Line(H, yAxis)
K = Intersect(i, j)
l = Segment(J, K)
m = Segment(K, H)
ωC = Angle(C, P, Q_C)
ω_1 = Angle(C, P, Q_A)
ωB = Angle(C, P, Q_B)
n = Line(B, P)
I = Intersect(n, b)
φB = Angle(C, P, I)
p = Line(P, A)
φA = Angle(C, P, A)
φ_A: (φA, 0)
φ_B: (φB, 0)
ω_A: (ω_1, 0)
ω_B: (ωB, 0)
ω_c: (ωC, 0)
s = OrthogonalLine(ω_A, xAxis)
t = OrthogonalLine(φ_B, xAxis)
c_1 = OrthogonalLine(ω_c, xAxis)
d_1 = OrthogonalLine(φ_A, xAxis)
e_1 = OrthogonalLine(ω_B, xAxis)
ARaQa, q_a, a_2, r_a = Polygon(A, R_A, Q_A)
N: (ω_1, ARaQa)
O: (ω_1, ABC - ARaQa)
f_1 = Line(G_φ, F_φ)
δ = Intersect(f_1, xAxis)
g_1 = Segment(G_φ, F_φ)
h_1 = Segment(F_φ, δ)
i_1 = Segment(O, ω_A)
ABR, i_2, a_3, b_2 = Polygon(A, B, I)
U: (φB, ABR)
V: (φB, ABC - ABR)
j_1 = Segment(V, φ_B)
ABRQ, a_4, b_3, r_c, q_c = Polygon(A, B, R_C, Q_C)
W: (ωC, ABRQ)
k_1 = Segment(W, ω_c)
Z: (ωC, ABC - ABRQ)
l_1 = Line(A, P)
A_1 = Intersect(l_1, a)
AQC_1, a_5, a_6, c_2 = Polygon(A_1, C, A)
B_1: (φA, AQC_1)
C_1: (φA, ABC - AQC_1)
AQRC, a_7, q_b, r_b, c_3 = Polygon(A, Q_B, R_B, C)
D_1: (ωB, AQRC)
E_1: (ωB, ABC - AQRC)
m_1 = Segment(C_1, φ_A)
n_1 = Segment(E_1, ω_B)
p_1 = Line(C, P)
F_1 = Intersect(p_1, c)
BCQ, f_2, b_4, c_4 = Polygon(B, C, F_1)
G_1: (π, BCQ)
q_1 = Segment(G_1, K)
H_1: (π, ABC - BCQ)
r_1 = Line(C, P)
I_1 = Intersect(c, r_1)
AQC, c_5, a_8, i_3 = Polygon(A, I_1, C)
J_1: (0, AQC)
K_1: (0, ABC - AQC)
α = Angle(B, A, C)
Vieleck1, m_2, m_3, m_4 = Polygon(M_b, M_a, M_c)
F = Point(h)
d = CircleArc(P, F, Q_A)

Tool: Schwerpunkt
Input: A, B, C
Output: S

D = Midpoint(A, C)
E = Midpoint(A, B)
a = Segment(C, E)
b = Segment(D, B)
S = Intersect(a, b)