"""Programmatic construction for Book X, Proposition 19 (X.19)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0051.g1 using geometor.model."""
model = Model("X.19")
# Vertices of square AD (A, B, D, D_l) and rectangle AC (A, B, C, C_l)
A = model.set_point(25.0, -141.0, classes=["given"], ID="A")
B = model.set_point(151.0, -141.0, classes=["given"], ID="B")
C = model.set_point(151.0, -58.5, classes=["given"], ID="C")
D = model.set_point(151.0, -16.0, ID="D")
C_l = model.set_point(25.0, -58.5, ID="C_l")
D_l = model.set_point(25.0, -16.0, ID="D_l")
# Base lines
model.construct_line(A, B)
model.construct_line(B, D)
model.construct_line(D_l, D)
model.construct_line(A, D_l)
model.construct_line(C_l, C)
# Segments
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(C, D)
model.set_segment(B, D)
model.set_segment(C_l, C)
model.set_segment(D_l, D)
model.set_segment(A, C_l)
model.set_segment(C_l, D_l)
model.set_segment(A, D_l)
# Section on BD
model.set_section([B, C, D])
# Polygons: rectangle AC and square AD
model.set_polygon([A, B, C, C_l])
model.set_polygon([A, B, D, D_l])
model.set_polygon([C_l, C, D, D_l])
return model
if __name__ == "__main__":
construct_g1()
