Sx

Sy

Sxy

Sm1

A = (1, 1)
B = (5, 1)
C = (1, 3)
Vieleck1, c, a, b = Polygon(A, B, C)
d = true
e = false
f = false
g = false
Matrix1: {{1.0, 0.0}, {0.0, -1.0}}
Matrix2: {{-1.0, 0.0}, {0.0, 1.0}}
Matrix4: {{0.0, 1.0}, {1.0, 0.0}}
C': Matrix1 * C
C'': Matrix2 * C
Matrix3: {{-1.0, 0.0}, {0.0, -1.0}}
C''': Matrix3 * C
C'''': Matrix4 * C
Text1: "\left[ \begin{matrix}" + (Element[Element[Matrix1, 1.0], 1.0]) + "&" + (Element[Element[Matrix1, 1.0], 2.0]) + "\\" + (Element[Element[Matrix1, 2.0], 1.0]) + "&" + (Element[Element[Matrix1, 2.0], 2.0]) + "\end{matrix} \right] \cdot \left[ \begin{matrix}" + (x(C)) + "\\" + (y(C)) + "\end{matrix} \right]  = \left[ \begin{matrix}" + (x(C')) + "\\" + (y(C')) + "\end{matrix} \right]"
B': Matrix1 * B
A': Matrix1 * A
Vieleck2, a', c', b' = Polygon(C', B', A')
Text2: "\left[ \begin{matrix}" + (Element[Element[Matrix2, 1.0], 1.0]) + "&" + (Element[Element[Matrix2, 1.0], 2.0]) + "\\" + (Element[Element[Matrix2, 2.0], 1.0]) + "&" + (Element[Element[Matrix2, 2.0], 2.0]) + "\end{matrix} \right] \cdot \left[ \begin{matrix}" + (x(C)) + "\\" + (y(C)) + "\end{matrix} \right]  = \left[ \begin{matrix}" + (x(C'')) + "\\" + (y(C'')) + "\end{matrix} \right]"
A'': Matrix2 * A
B'': Matrix2 * B
Vieleck3, c'', b'', a'' = Polygon(B'', A'', C'')
A''': Matrix3 * A
B''': Matrix3 * B
Vieleck4, b''', c''', a''' = Polygon(C''', A''', B''')
Text3: "\left[ \begin{matrix}" + (Element[Element[Matrix3, 1.0], 1.0]) + "&" + (Element[Element[Matrix3, 1.0], 2.0]) + "\\" + (Element[Element[Matrix3, 2.0], 1.0]) + "&" + (Element[Element[Matrix3, 2.0], 2.0]) + "\end{matrix} \right] \cdot \left[ \begin{matrix}" + (x(C)) + "\\" + (y(C)) + "\end{matrix} \right]  = \left[ \begin{matrix}" + (x(C''')) + "\\" + (y(C''')) + "\end{matrix} \right]"
A'''': Matrix4 * A
B'''': Matrix4 * B
Vieleck5, e_1, d_1, c'''' = Polygon(A'''', C'''', B'''')
Text4: "\left[ \begin{matrix}" + (Element[Element[Matrix4, 1.0], 1.0]) + "&" + (Element[Element[Matrix4, 1.0], 2.0]) + "\\" + (Element[Element[Matrix4, 2.0], 1.0]) + "&" + (Element[Element[Matrix4, 2.0], 2.0]) + "\end{matrix} \right] \cdot \left[ \begin{matrix}" + (x(C)) + "\\" + (y(C)) + "\end{matrix} \right]  = \left[ \begin{matrix}" + (x(C'''')) + "\\" + (y(C'''')) + "\end{matrix} \right]"