"""Programmatic construction for Book I, Proposition 18 (I.18)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0297.g1 using geometor.model."""
model = Model("I.18")
# Points
A = model.set_point(18, -26, classes=["given"], ID="A")
B = model.set_point(70, -113.5, classes=["given"], ID="B")
C = model.set_point(246, -113.5, classes=["given"], ID="C")
D = model.set_point(113, -62.5, ID="D")
# Construction lines
model.construct_line(A, C)
# Construction circles
model.construct_circle(A, B)
# Segments
model.set_segment(B, C)
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(B, D)
model.set_segment(A, D)
model.set_segment(D, C)
# Collinear / broken sections
model.set_section([A, D, C])
# Polygons
model.set_polygon([A, B, D])
model.set_polygon([B, C, D])
model.set_polygon([A, B, C])
# Angles (wedges)
model.set_wedge(B, A, A, C)
model.set_wedge(B, A, A, D)
model.set_wedge(B, D, D, C)
model.set_wedge(D, A, A, B)
model.set_wedge(D, B, B, C)
model.set_wedge(C, A, A, B)
model.set_wedge(A, B, B, C)
return model
if __name__ == "__main__":
construct_g1()
