"""Programmatic construction for Book I, I.38 (I.38).
Triangles which are on equal bases 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 0347.g1 (I.38) using geometor.model."""
model = Model("I.38")
# 1. Points
G = model.set_point(43.5, -31, ID="G")
A = model.set_point(128, -31, classes=["given"], ID="A")
D = model.set_point(150.5, -31, classes=["given"], ID="D")
H = model.set_point(234.5, -31, ID="H")
B = model.set_point(28, -101, classes=["given"], ID="B")
C = model.set_point(112, -101, classes=["given"], ID="C")
E = model.set_point(189, -101, classes=["given"], ID="E")
F = model.set_point(273, -101, classes=["given"], ID="F")
G0 = model.set_point(40, -31, ID="G0")
H0 = model.set_point(240, -31, ID="H0")
# 2. Infinite / Extended Construction Lines
model.construct_line(G0, H0)
# 3. Segments
model.set_segment(G, H)
model.set_segment(G, A)
model.set_segment(A, D)
model.set_segment(D, H)
model.set_segment(B, F)
model.set_segment(B, C)
model.set_segment(C, E)
model.set_segment(E, F)
model.set_segment(B, G)
model.set_segment(A, B)
model.set_segment(C, A)
model.set_segment(D, E)
model.set_segment(D, F)
model.set_segment(F, H)
# 4. Collinear Sections
model.set_section([G, A, D])
model.set_section([A, D, H])
model.set_section([B, C, E])
model.set_section([C, E, F])
# 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
model.set_polygon([A, B, C])
model.set_polygon([D, E, F])
model.set_polygon([G, B, C, A])
model.set_polygon([D, E, F, H])
model.set_polygon([G, A, B])
model.set_polygon([D, H, F])
return model
if __name__ == "__main__":
construct_g1()
