G.161 circumscribe a circle about a square — Code¶
Circumscribe a circle about a given square.
"""Programmatic construction for Book IV, Proposition 9 (IV.9)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0101.g1 using geometor.model."""
model = Model("IV.9")
# Points (y-inverted for standard mathematical coordinates)
E = model.set_point(87.00, -89.00, ID="E")
A = model.set_point(87.00, -30.00, classes=["given"], ID="A")
B = model.set_point(28.00, -89.00, classes=["given"], ID="B")
C = model.set_point(87.00, -148.00, classes=["given"], ID="C")
D = model.set_point(146.00, -89.00, classes=["given"], ID="D")
# Circumscribed circle ABCD
model.construct_circle(E, A)
# Construction lines (diagonals)
model.construct_line(A, C)
model.construct_line(B, D)
# Segments
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(C, D)
model.set_segment(D, A)
model.set_segment(A, C)
model.set_segment(B, D)
model.set_segment(E, A)
model.set_segment(E, B)
model.set_segment(E, C)
model.set_segment(E, D)
# Collinear sections
model.set_section([A, E, C])
model.set_section([B, E, D])
# Polygons
model.set_polygon([A, B, C, D])
# Angles (wedges)
model.set_wedge(A, D, D, B)
model.set_wedge(A, D, D, C)
model.set_wedge(A, B, B, C)
model.set_wedge(B, A, A, C)
model.set_wedge(B, E, E, A)
model.set_wedge(C, B, B, D)
model.set_wedge(D, C, C, A)
return model
if __name__ == "__main__":
construct_g1()