"""Programmatic construction for Book III, Proposition 22 (III.22)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0058.g1 using geometor.model."""
model = Model("III.22")
# Center O and points A, B, C, D on circle ABCD (y-inverted)
O = model.set_point(87, -92, ID="O")
A = model.set_point(31.69, -47.50, classes=["given"], ID="A")
B = model.set_point(142.31, -47.50, classes=["given"], ID="B")
C = model.set_point(141.08, -138.00, classes=["given"], ID="C")
D = model.set_point(85.00, -162.97, classes=["given"], ID="D")
# Circle ABCD
model.construct_circle(O, A)
# Sides and diagonals of cyclic quadrilateral ABCD
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)
# Polygons
model.set_polygon([A, B, C, D])
model.set_polygon([A, B, C])
model.set_polygon([A, D, C])
model.set_polygon([B, A, D])
model.set_polygon([B, C, D])
# Angles (wedges)
model.set_wedge(A, C, C, B)
model.set_wedge(B, A, A, C)
model.set_wedge(C, B, B, A)
model.set_wedge(D, B, B, C)
model.set_wedge(D, A, A, B)
model.set_wedge(D, A, A, C)
model.set_wedge(A, B, B, D)
model.set_wedge(C, D, D, B)
return model
if __name__ == "__main__":
construct_g1()
