"""Programmatic construction for Book I, I.37 (I.37).
Triangles which are on the same base and in the same parallels are equal to one another.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0346.g1 (I.37) using geometor.model."""
model = Model("I.37")
# 1. Points
E = model.set_point(31, -29, ID="E")
A = model.set_point(120, -29, classes=["given"], ID="A")
D = model.set_point(140, -29, classes=["given"], ID="D")
F = model.set_point(229, -29, ID="F")
B = model.set_point(64, -109.5, classes=["given"], ID="B")
C = model.set_point(153, -109.5, classes=["given"], ID="C")
E0 = model.set_point(20, -29, ID="E0")
F0 = model.set_point(235, -29, ID="F0")
# 2. Infinite / Extended Construction Lines
model.construct_line(E0, F0)
# 3. Segments
model.set_segment(E, F)
model.set_segment(E, A)
model.set_segment(A, D)
model.set_segment(D, F)
model.set_segment(B, C)
model.set_segment(B, E)
model.set_segment(A, B)
model.set_segment(C, A)
model.set_segment(B, D)
model.set_segment(D, C)
model.set_segment(C, F)
# 4. Collinear Sections
model.set_section([E, A, D])
model.set_section([A, D, F])
# 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
model.set_polygon([A, B, C])
model.set_polygon([D, B, C])
model.set_polygon([E, B, C, A])
model.set_polygon([D, B, C, F])
model.set_polygon([E, A, B])
model.set_polygon([F, D, C])
return model
if __name__ == "__main__":
construct_g1()
