"""Programmatic construction for Book X, Proposition 27 (X.27)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0064.g1 using geometor.model."""
model = Model("X.27")
# Rational straight lines A, B and medial straight lines C, D
A_t = model.set_point(24.0, -15.0, classes=["given"], ID="A")
A_b = model.set_point(24.0, -166.0, classes=["given"], ID="A_b")
B_t = model.set_point(50.5, -50.0, classes=["given"], ID="B")
B_b = model.set_point(50.5, -166.0, classes=["given"], ID="B_b")
C_t = model.set_point(95.5, -15.0, ID="C")
C_b = model.set_point(95.5, -116.0, ID="C_b")
D_t = model.set_point(120.5, -15.0, ID="D")
D_b = model.set_point(120.5, -89.0, ID="D_b")
# Base lines
model.construct_line(A_t, A_b)
model.construct_line(B_t, B_b)
model.construct_line(C_t, C_b)
model.construct_line(D_t, D_b)
# Segments
model.set_segment(A_t, A_b)
model.set_segment(B_t, B_b)
model.set_segment(C_t, C_b)
model.set_segment(D_t, D_b)
return model
if __name__ == "__main__":
construct_g1()
