"""Programmatic construction for Book I, Proposition 15 (I.15)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0291.g2 using geometor.model."""
model = Model("I.15")
# Points
A = model.set_point(21, -36, classes=["given"], ID="A")
C = model.set_point(25, -72.5, classes=["given"], ID="C")
E = model.set_point(95, -72.5, ID="E")
D = model.set_point(170, -72.5, classes=["given"], ID="D")
B = model.set_point(169, -109, classes=["given"], ID="B")
# Construction lines
model.construct_line(A, B)
model.construct_line(C, D)
# Segments
model.set_segment(C, D)
model.set_segment(A, B)
model.set_segment(A, E)
model.set_segment(E, B)
model.set_segment(C, E)
model.set_segment(E, D)
# Collinear / broken sections
model.set_section([A, E, B])
model.set_section([C, E, D])
# Polygons
model.set_polygon([A, E, C])
model.set_polygon([D, E, B])
model.set_polygon([C, E, B])
model.set_polygon([A, E, D])
# Angles (wedges)
model.set_wedge(E, A, A, C)
model.set_wedge(E, D, D, B)
model.set_wedge(E, C, C, B)
model.set_wedge(E, A, A, D)
return model
if __name__ == "__main__":
construct_g1()
