Quadratmillimeter anzeigen

 Wie viele cm² 
passen in 1 dm²?

 Wie viele mm² 
passen in 1 cm²?

          Wie viele mm² 
    passen in 1 dm²?

           Wie viele dm² 
       passen in 1 m²?

          Wie viele mm² 
       passen in 1 m²?

              Wie viele m² 
     passen in 1 km²?

Weiterdenken?

A1 = 0
B1 = 0
A10 = 0
A2 = 0
A3 = 0
A4 = 0
A5 = 0
A6 = 0
A7 = 0
A8 = 0
A9 = 0
B2: B1 + 1.0
B3: B2 + 1.0
B4: B3 + 1.0
B5: B4 + 1.0
B6: B5 + 1.0
B7: B6 + 1.0
B8: B7 + 1.0
B9: B8 + 1.0
B10: B9 + 1.0
A11 = 0
B11: B10 + 1.0
C1 = 10
C2 = 10
C3 = 10
C4 = 10
C5 = 10
C6 = 10
C7 = 10
C8 = 10
C9 = 10
C10 = 10
C11 = 10
D1 = 0
D2: D1 + 1.0
D3: D2 + 1.0
D4: D3 + 1.0
D5: D4 + 1.0
D6: D5 + 1.0
D7: D6 + 1.0
D8: D7 + 1.0
D9: D8 + 1.0
D10: D9 + 1.0
D11: D10 + 1.0
E1 = Segment((A1, B1), (C1, D1))
E2 = Segment((A2, B2), (C2, D2))
E3 = Segment((A3, B3), (C3, D3))
E4 = Segment((A4, B4), (C4, D4))
E5 = Segment((A5, B5), (C5, D5))
E6 = Segment((A6, B6), (C6, D6))
E7 = Segment((A7, B7), (C7, D7))
E8 = Segment((A8, B8), (C8, D8))
E9 = Segment((A9, B9), (C9, D9))
E10 = Segment((A10, B10), (C10, D10))
E11 = Segment((A11, B11), (C11, D11))
A12 = 0
A13: A12 + 1.0
A14: A13 + 1.0
A15: A14 + 1.0
A16: A15 + 1.0
A17: A16 + 1.0
A18: A17 + 1.0
A19: A18 + 1.0
A20: A19 + 1.0
A21: A20 + 1.0
A22: A21 + 1.0
C12 = 0
C13: C12 + 1.0
C14: C13 + 1.0
C15: C14 + 1.0
C16: C15 + 1.0
C17: C16 + 1.0
C18: C17 + 1.0
C19: C18 + 1.0
C20: C19 + 1.0
C21: C20 + 1.0
C22: C21 + 1.0
B12 = 0
B21 = 0
B13 = 0
B14 = 0
B15 = 0
B16 = 0
B17 = 0
B18 = 0
B19 = 0
B20 = 0
B22 = 0
D12 = 10
D13 = 10
D14 = 10
D15 = 10
D16 = 10
D17 = 10
D18 = 10
D19 = 10
D20 = 10
D21 = 10
D22 = 10
E12 = Segment((A12, B12), (C12, D12))
E13 = Segment((A13, B13), (C13, D13))
E14 = Segment((A14, B14), (C14, D14))
E15 = Segment((A15, B15), (C15, D15))
E16 = Segment((A16, B16), (C16, D16))
E17 = Segment((A17, B17), (C17, D17))
E18 = Segment((A18, B18), (C18, D18))
E19 = Segment((A19, B19), (C19, D19))
E20 = Segment((A20, B20), (C20, D20))
E21 = Segment((A21, B21), (C21, D21))
E22 = Segment((A22, B22), (C22, D22))
A23 = 0
B23 = 0
A32 = 0
A24 = 0
A25 = 0
A26 = 0
A27 = 0
A28 = 0
A29 = 0
A30 = 0
A31 = 0
B24: B23 + 1.0
B25: B24 + 1.0
B26: B25 + 1.0
B27: B26 + 1.0
B28: B27 + 1.0
B29: B28 + 1.0
B30: B29 + 1.0
B31: B30 + 1.0
B32: B31 + 1.0
A33 = 0
B33: B32 + 1.0
C23 = 10
C24 = 10
C25 = 1
C26 = 1
C27 = 1
C28 = 1
C29 = 1
C30 = 1
C31 = 1
C32 = 1
C33 = 10
D23 = 0
D24: D23 + 1.0
D25: D24 + 1.0
D26: D25 + 1.0
D27: D26 + 1.0
D28: D27 + 1.0
D29: D28 + 1.0
D30: D29 + 1.0
D31: D30 + 1.0
D32: D31 + 1.0
D33: D32 + 1.0
E23 = Segment((A23, B23), (C23, D23))
E24 = Segment((A24, B24), (C24, D24))
E25 = Segment((A25, B25), (C25, D25))
E26 = Segment((A26, B26), (C26, D26))
E27 = Segment((A27, B27), (C27, D27))
E28 = Segment((A28, B28), (C28, D28))
E29 = Segment((A29, B29), (C29, D29))
E30 = Segment((A30, B30), (C30, D30))
E31 = Segment((A31, B31), (C31, D31))
E32 = Segment((A32, B32), (C32, D32))
E33 = Segment((A33, B33), (C33, D33))
A34 = 0
A35: A34 + 1.0
A36: A35 + 1.0
A37: A36 + 1.0
A38: A37 + 1.0
A39: A38 + 1.0
A40: A39 + 1.0
A41: A40 + 1.0
A42: A41 + 1.0
A43: A42 + 1.0
A44: A43 + 1.0
C34 = 0
C35: C34 + 1.0
C36: C35 + 1.0
C37: C36 + 1.0
C38: C37 + 1.0
C39: C38 + 1.0
C40: C39 + 1.0
C41: C40 + 1.0
C42: C41 + 1.0
C43: C42 + 1.0
B34 = 0
B43 = 0
B35 = 0
B36 = 0
B37 = 0
B38 = 0
B39 = 0
B40 = 0
B41 = 0
B42 = 0
B44 = 0
D34 = 10
D35 = 10
D36 = 1
D37 = 1
D38 = 1
D39 = 1
D40 = 1
D41 = 1
D42 = 1
D43 = 1
C44: C43 + 1.0
D44 = 10
E34 = Segment((A34, B34), (C34, D34))
E35 = Segment((A35, B35), (C35, D35))
E36 = Segment((A36, B36), (C36, D36))
E37 = Segment((A37, B37), (C37, D37))
E38 = Segment((A38, B38), (C38, D38))
E39 = Segment((A39, B39), (C39, D39))
E40 = Segment((A40, B40), (C40, D40))
E41 = Segment((A41, B41), (C41, D41))
E42 = Segment((A42, B42), (C42, D42))
E43 = Segment((A43, B43), (C43, D43))
E44 = Segment((A44, B44), (C44, D44))
A45 = 0
B45 = 0
A54 = 0
A46 = 0
A47 = 0
A48 = 0
A49 = 0
A50 = 0
A51 = 0
A52 = 0
A53 = 0
B46: B45 + 0.1
B47: B46 + 0.1
B48: B47 + 0.1
B49: B48 + 0.1
B50: B49 + 0.1
B51: B50 + 0.1
B52: B51 + 0.1
B53: B52 + 0.1
B54: B53 + 0.1
A55 = 0
B55: B54 + 0.1
C45 = 1
C46 = 1
C47 = 1
C48 = 1
C49 = 1
C50 = 1
C51 = 1
C52 = 1
C53 = 1
C54 = 1
C55 = 1
D45 = 0
D46: D45 + 0.1
D47: D46 + 0.1
D48: D47 + 0.1
D49: D48 + 0.1
D50: D49 + 0.1
D51: D50 + 0.1
D52: D51 + 0.1
D53: D52 + 0.1
D54: D53 + 0.1
D55: D54 + 0.1
E45 = Segment((A45, B45), (C45, D45))
E46 = Segment((A46, B46), (C46, D46))
E47 = Segment((A47, B47), (C47, D47))
E48 = Segment((A48, B48), (C48, D48))
E49 = Segment((A49, B49), (C49, D49))
E50 = Segment((A50, B50), (C50, D50))
E51 = Segment((A51, B51), (C51, D51))
E52 = Segment((A52, B52), (C52, D52))
E53 = Segment((A53, B53), (C53, D53))
E54 = Segment((A54, B54), (C54, D54))
E55 = Segment((A55, B55), (C55, D55))
A56 = 0
A57: A56 + 0.1
A58: A57 + 0.1
A59: A58 + 0.1
A60: A59 + 0.1
A61: A60 + 0.1
A62: A61 + 0.1
A63: A62 + 0.1
A64: A63 + 0.1
A65: A64 + 0.1
A66: A65 + 0.1
C56 = 0
C57: C56 + 0.1
C58: C57 + 0.1
C59: C58 + 0.1
C60: C59 + 0.1
C61: C60 + 0.1
C62: C61 + 0.1
C63: C62 + 0.1
C64: C63 + 0.1
C65: C64 + 0.1
C66: C65 + 0.1
B56 = 0
B65 = 0
B57 = 0
B58 = 0
B59 = 0
B60 = 0
B61 = 0
B62 = 0
B63 = 0
B64 = 0
B66 = 0
D56 = 1
D57 = 1
D58 = 1
D59 = 1
D60 = 1
D61 = 1
D62 = 1
D63 = 1
D64 = 1
D65 = 1
D66 = 1
E56 = Segment((A56, B56), (C56, D56))
E57 = Segment((A57, B57), (C57, D57))
E58 = Segment((A58, B58), (C58, D58))
E59 = Segment((A59, B59), (C59, D59))
E60 = Segment((A60, B60), (C60, D60))
E61 = Segment((A61, B61), (C61, D61))
E62 = Segment((A62, B62), (C62, D62))
E63 = Segment((A63, B63), (C63, D63))
E64 = Segment((A64, B64), (C64, D64))
E65 = Segment((A65, B65), (C65, D65))
E66 = Segment((A66, B66), (C66, D66))
a = false
A67 = 0
B67 = 0
A76 = 0
A68 = 0
A69 = 0
A70 = 0
A71 = 0
A72 = 0
A73 = 0
A74 = 0
A75 = 0
B68: B67 + 0.1
B69: B68 + 0.1
B70: B69 + 0.1
B71: B70 + 0.1
B72: B71 + 0.1
B73: B72 + 0.1
B74: B73 + 0.1
B75: B74 + 0.1
B76: B75 + 0.1
A77 = 0
B77: B76 + 0.1
C67 = 1
C68 = 1
C69 = 0.1
C70 = 0.1
C71 = 0.1
C72 = 0.1
C73 = 0.1
C74 = 0.1
C75 = 0.1
C76 = 0.1
C77 = 1
D67 = 0
D68: D67 + 0.1
D69: D68 + 0.1
D70: D69 + 0.1
D71: D70 + 0.1
D72: D71 + 0.1
D73: D72 + 0.1
D74: D73 + 0.1
D75: D74 + 0.1
D76: D75 + 0.1
D77: D76 + 0.1
A78 = 0
A79: A78 + 0.1
A80: A79 + 0.1
A81: A80 + 0.1
A82: A81 + 0.1
A83: A82 + 0.1
A84: A83 + 0.1
A85: A84 + 0.1
A86: A85 + 0.1
A87: A86 + 0.1
A88: A87 + 0.1
C78 = 0
C79: C78 + 0.1
C80: C79 + 0.1
C81: C80 + 0.1
C82: C81 + 0.1
C83: C82 + 0.1
C84: C83 + 0.1
C85: C84 + 0.1
C86: C85 + 0.1
C87: C86 + 0.1
C88: C87 + 0.1
B78 = 0
B87 = 0
B79 = 0
B80 = 0
B81 = 0
B82 = 0
B83 = 0
B84 = 0
B85 = 0
B86 = 0
B88 = 0
D78 = 1
D79 = 1
D80 = 0.1
D81 = 0.1
D82 = 0.1
D83 = 0.1
D84 = 0.1
D85 = 0.1
D86 = 0.1
D87 = 0.1
D88 = 1
E67 = Segment((A67, B67), (C67, D67))
E68 = Segment((A68, B68), (C68, D68))
E69 = Segment((A69, B69), (C69, D69))
E70 = Segment((A70, B70), (C70, D70))
E71 = Segment((A71, B71), (C71, D71))
E72 = Segment((A72, B72), (C72, D72))
E73 = Segment((A73, B73), (C73, D73))
E74 = Segment((A74, B74), (C74, D74))
E75 = Segment((A75, B75), (C75, D75))
E76 = Segment((A76, B76), (C76, D76))
E77 = Segment((A77, B77), (C77, D77))
E78 = Segment((A78, B78), (C78, D78))
E79 = Segment((A79, B79), (C79, D79))
E80 = Segment((A80, B80), (C80, D80))
E81 = Segment((A81, B81), (C81, D81))
E82 = Segment((A82, B82), (C82, D82))
E83 = Segment((A83, B83), (C83, D83))
E84 = Segment((A84, B84), (C84, D84))
E85 = Segment((A85, B85), (C85, D85))
E86 = Segment((A86, B86), (C86, D86))
E87 = Segment((A87, B87), (C87, D87))
E88 = Segment((A88, B88), (C88, D88))
b = false

Tool: Eulergerade
Gib 3 Punkte an
Input: A, B, C
Output: Vieleck1, Euler, h_a, h_b, h_c, m_a, m_b, m_c, H, M_a, M_b, M_c, S, U, a, b, c, s_a, s_b, s_c

Vieleck1_1, c_1, a_1, b_1 = Polygon(A, B, C)
Vieleck1, c, a, b = Polygon(A, B, C)
M_a = Midpoint(a)
M_b = Midpoint(b)
M_c = Midpoint(c)
m_a = OrthogonalLine(M_a, a)
m_b = OrthogonalLine(M_b, b)
m_c = OrthogonalLine(M_c, c)
U = Intersect(m_a, m_b)
s_a = Segment(M_a, A)
s_b = Segment(B, M_b)
s_c = Segment(M_c, C)
S = Intersect(s_b, s_a)
h_c = OrthogonalLine(C, c)
h_a = OrthogonalLine(A, a)
h_b = OrthogonalLine(B, b)
H = Intersect(h_a, h_b)
Euler = Line(U, H)

Tool: Feuerbach-Kreis (command Feuerbach)
Gib 3 Punkte an
Input: A, B, C
Output: npc, N, poly1, M_b, M_c, M_a, H, E_1, E_2, E_3, F_1, F_2, F_3, c, a, b

poly1, c, a, b = Polygon(A, B, C)
M_b = Midpoint(b)
M_c = Midpoint(c)
M_a = Midpoint(a)
g = OrthogonalLine(B, b)
h = OrthogonalLine(C, c)
i = OrthogonalLine(A, a)
H = Intersect(i, g)
E_3 = Midpoint(H, C)
E_1 = Midpoint(H, A)
E_2 = Midpoint(H, B)
npc = Circle(M_c, M_a, M_b)
F_2 = Intersect(g, b)
F_3 = Intersect(h, c)
F_1 = Intersect(i, a)
N = Center(npc)