"""Programmatic construction for Book I, I.40 (I.40).
Equal triangles which are on equal bases and on the same side are also in the same parallels.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0351.g1 (I.40) using geometor.model."""
model = Model("I.40")
# 1. Points
A = model.set_point(31, -34, classes=["given"], ID="A")
B = model.set_point(31, -105, classes=["given"], ID="B")
C = model.set_point(111, -105, classes=["given"], ID="C")
D = model.set_point(167, -34, classes=["given"], ID="D")
E = model.set_point(191, -105, classes=["given"], ID="E")
F = model.set_point(156, -48, ID="F")
# 3. Segments
model.set_segment(B, E)
model.set_segment(B, C)
model.set_segment(C, E)
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(A, D)
model.set_segment(C, D)
model.set_segment(C, F)
model.set_segment(F, D)
model.set_segment(D, E)
model.set_segment(A, F)
model.set_segment(F, E)
# 4. Collinear Sections
model.set_section([B, C, E])
model.set_section([C, F, D])
# 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
model.set_polygon([A, B, C])
model.set_polygon([C, D, E])
model.set_polygon([F, C, E])
return model
if __name__ == "__main__":
construct_g1()
