"""Programmatic construction for Book I, Proposition 12 (I.12)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0285.g1 using geometor.model."""
model = Model("I.12")
# Points
A = model.set_point(10, -150, classes=["given"], ID="A")
G = model.set_point(59, -150, ID="G")
H = model.set_point(130, -150, ID="H")
E = model.set_point(201, -150, ID="E")
B = model.set_point(260, -150, classes=["given"], ID="B")
C = model.set_point(130, -110, classes=["given"], ID="C")
F = model.set_point(130, -28.5, ID="F")
D = model.set_point(175, -177, classes=["given"], ID="D")
# Construction lines
model.construct_line(A, B)
# Construction circles
model.construct_circle(C, D)
# Segments
model.set_segment(A, B)
model.set_segment(C, H)
model.set_segment(C, G)
model.set_segment(C, E)
model.set_segment(G, H)
model.set_segment(H, E)
model.set_segment(E, G)
model.set_segment(A, G)
model.set_segment(E, B)
model.set_segment(C, D)
model.set_segment(C, F)
# Collinear / broken sections
model.set_section([G, H, E])
model.set_section([A, H, B])
# Polygons
model.set_polygon([C, G, H])
model.set_polygon([C, E, H])
model.set_polygon([C, G, E])
# Angles (wedges)
model.set_wedge(H, C, C, G)
model.set_wedge(H, E, E, C)
return model
if __name__ == "__main__":
construct_g1()
