"""Programmatic construction for Book VII, Proposition 4 (VII.4)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0309.g1 using geometor.model."""
model = Model("VII.4")
# Single-letter vertical number segment A
A_t = model.set_point(22.0, -10.0, classes=["given"], ID="A")
A_b = model.set_point(22.0, -159.0, ID="A_b")
# Vertical number segment BC (divided at E and F)
B = model.set_point(54.0, -69.0, classes=["given"], ID="B")
E = model.set_point(54.0, -99.0, ID="E")
F = model.set_point(54.0, -129.0, ID="F")
C = model.set_point(54.0, -159.0, classes=["given"], ID="C")
# Single-letter vertical number segment D
D_t = model.set_point(83.0, -129.0, classes=["given"], ID="D")
D_b = model.set_point(83.0, -159.0, ID="D_b")
# Base line
model.construct_line(B, C)
# Whole and subdivided segments
model.set_segment(A_t, A_b)
model.set_segment(B, C)
model.set_segment(B, E)
model.set_segment(E, F)
model.set_segment(F, C)
model.set_segment(B, F)
model.set_segment(E, C)
model.set_segment(D_t, D_b)
# Collinear sections
model.set_section([B, E, F])
model.set_section([B, F, C])
model.set_section([E, F, C])
return model
if __name__ == "__main__":
construct_g1()
