def practical_test18():
link(A, B)
link(A, C)
link(B, D, E, C)
link(A, F, D)
link(B, F)
link(A, E)
common_vertex_angles('A', ['B', 'D', 'E', 'C'])
common_vertex_angles('B', ['A', 'F', 'C'])
perpendicular('AD', 'BC')
set_angle('AED', 62)
set_angle('BAC', 90)
set_angle('ACB', 45)
# Set as unit length.
set_length('AF', 1)
set_length('EC', 1)
get_angle('DBF')
# assert result['answer'] == 28
return get_problem()
def practical_test3():
link(A, B, C, E)
link(B, D)
link(D, E)
set_angle('ABD', 120)
set_angle('BDE', 30)
set_length('BD', 210)
get_length('DE')
# assert abs(result['answer'] - (3**(1/2) / 2) * 210) < 1e-3
return get_problem()
def practical_test36():
link(A, D)
link(A, E)
link(D, C)
link(E, C)
link(D, B)
link(E, B)
link(D, E)
set_angle('DAE', 60)
set_length('BD', 2)
set_length('BE', 2)
set_length('AD', 3)
set_length('AE', 3)
split_angle('ADB', 'DC')
split_angle('AEB', 'EC')
common_vertex_angles('D', ['A', 'C', 'B', 'E'])
common_vertex_angles('E', ['A', 'C', 'B', 'D'])
get_angle('DBE')
# assert abs(result['answer'] - 97.181) < 1e-3
return get_problem()
def practical_test43():
link(A, B)
link(A, C)
link(B, D, C)
link(A, D)
split_line('BC', 'D')
set_angle('BAC', 90)
set_length('AB', 4)
set_length('AC', 3)
get_length('AD')
# assert result['answer'] == 2.5
return get_problem()
def practical_test29():
link(A, B)
link(A, C)
link(B, D, C)
link(A, D)
set_length('AB', 8)
set_length('BD', 4)
common_vertex_angles('A', ['B', 'D', 'C'])
split_line('BC', 'D')
set_angle('ABC', 60)
get_length('AC')
# assert result['answer'] == 8
return get_problem()
def practical_test48():
link(A, G, E)
link(A, D, C)
link(B, G, D)
link(B, E, C)
perpendicular('AC', 'CB')
split_line('AC', 'D')
split_line('BC', 'E')
set_length('CD', 15)
set_length('CE', 15)
get_length('BD')
# assert result['answer'] == 33.5
return get_problem()
def practical_test44():
link(A, C)
link(A, P)
link(A, B)
link(C, P, B)
set_angle('ACB', 90)
set_length('AC', 3)
set_length('BC', 4)
split_line('BC', 'P', 0.5)
common_vertex_angles('A', ['C', 'P', 'B'])
get_length('AP')
# assert result['answer'] == 60
return get_problem()
def practical_test49():
link(A, D, B)
link(A, E, C)
link(D, E)
link(B, C)
set_angle('ADE', 60)
set_angle('ABC', 60)
set_angle('BAC', 30)
set_length('DE', 4)
split_line('AB', 'D', 1/3)
get_length('BC')
# assert result['answer'] == 12
return get_problem()
def practical_test16():
link(A, B)
link(A, D, C)
link(B, D)
link(B, E, C)
link(D, E)
set_angle('BAC', 90)
set_length('AB', 4)
set_length('BD', 5)
perpendicular('DE', 'BC')
split_angle('ABC', 'BD', 0.5)
common_vertex_angles('B', ['A', 'D', 'C'])
get_length('AD')
# assert result['answer'] == 3
return get_problem()
def practical_test27():
link(A, B)
link(A, C)
link(B, D, C)
link(A, D)
set_angle('ABD', 50)
split_line('BC', 'D')
set_length('AB', 1)
set_length('AC', 1)
common_vertex_angles('A', ['B', 'D', 'C'])
get_angle('BAD')
# assert result['answer'] == 40
return get_problem()
def practical_test17():
link(A, B)
link(A, D, C)
link(B, D)
link(B, C)
set_angle('BAC', 40)
common_vertex_angles('B', ['A', 'D', 'C'])
# Set as unit length.
set_length('AB', 1)
line_equivalence('AB', 'AC')
line_equivalence('BD', 'BC')
get_angle('ABD')
# assert result['answer'] == 30
return get_problem()
def practical_test40():
link(A, B)
link(A, D)
link(B, C)
link(C, D)
link(A, C)
link(B, D)
common_vertex_angles('A', ['B', 'C', 'D'])
common_vertex_angles('B', ['A', 'D', 'C'])
common_vertex_angles('C', ['B', 'A', 'D'])
common_vertex_angles('D', ['A', 'B', 'C'])
set_angle('BAD', 60)
set_angle('BCD', 120)
set_length('BC', 5)
set_length('DC', 3)
angle_equivalence('ABD', 'ADB')
get_length('AC')
# assert result['answer'] == 8
return get_problem()
def practical_test46():
link(B, D, A)
link(B, P)
link(B, E, C)
link(P, D)
link(P, E)
split_angle('ABC', 'BP', 0.5)
set_length('DB', 1)
set_length('DP', 1.2)
set_length('BP', 3**(1 / 2))
set_length('BE', 2)
common_vertex_angles('B', ['A', 'P', 'C'])
get_angle('BEP')
# assert result['answer'] == 30
return get_problem()
def practical_test41():
link(A, B)
link(B, D)
link(B, C)
link(A, D, C)
set_length('AB', 1)
set_length('BD', 1)
set_length('CD', 1)
set_angle('BDC', 110)
get_angle('ABC')
# assert result['answer'] == 75
return get_problem()
def practical_test5():
link(A, B)
link(A, N, C)
link(B, M, C)
link(M, N)
set_length('AB', 5)
set_length('AC', 5)
set_length('BC', 6)
perpendicular('MN', 'AC')
split_line('BC', 'M', 0.5)
get_length('MN')
# assert result['answer'] == 2.4
return get_problem()
def practical_test47():
link(A, B)
link(A, P, D)
link(B, P, C)
link(C, D)
set_length('AB', 4)
set_length('CD', 6)
set_length('AD', 10)
set_angle('DAB', 30)
set_angle('ADC', 30)
set_angle('BCD', 45)
set_angle('ABC', 45)
get_length('AP')
# assert result['answer'] == 4
return get_problem()
def practical_test9():
link(A, C)
link(A, D, B)
link(B, F, C)
link(D, F)
set_angle('ACB', 90)
perpendicular('DF', 'AB')
set_length('AC', 1)
set_length('AD', 1)
set_length('BC', 1)
get_length('BF')
# assert abs(result['answer'] - (2 - 2**(1/2))) < 1e-3
return get_problem()
def practical_test39():
link(A, F, B)
link(A, C)
link(B, D, C)
link(D, F)
link(A, D)
split_angle('BAC', 'AD', 0.5)
set_length('AB', 4)
set_length('AC', 3)
set_length('BC', 5)
common_vertex_angles('A', ['B', 'D', 'C'])
common_vertex_angles('D', ['B', 'F', 'A'])
split_angle('BAC', 'AD')
get_length('CD')
# assert result['answer'] == 2.143
return get_problem()
def practical_test6():
link(A, M, B)
link(A, N, C)
link(B, C)
link(B, O)
link(C, O)
link(M, O, N)
set_length('AB', 12)
set_length('AC', 18)
set_length('BC', 24)
split_angle('ABC', 'BO', 0.5)
split_angle('ACB', 'CO', 0.5)
parallel('MN', 'BC')
common_vertex_angles('B', ['A', 'O', 'C'])
common_vertex_angles('C', ['A', 'O', 'B'])
get_circumference('AMN')
# assert result['answer'] == 30
return get_problem()