G.70 parallelogram is double a triangle on the same base — Code¶
If a parallelogram shares the same base with a triangle and lies in the same parallels, the parallelogram is double the triangle.
"""Programmatic construction for Book I, I.41 (I.41).
If a parallelogram have the same base with a triangle and be in the same parallels, the parallelogram is double of the triangle.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0352.g1 (I.41) using geometor.model."""
model = Model("I.41")
# 1. Points
A = model.set_point(24, -36, classes=["given"], ID="A")
B = model.set_point(48, -112, classes=["given"], ID="B")
C = model.set_point(142, -112, classes=["given"], ID="C")
D = model.set_point(118, -36, classes=["given"], ID="D")
E = model.set_point(184, -36, classes=["given"], ID="E")
# 3. Segments
model.set_segment(A, E)
model.set_segment(A, D)
model.set_segment(D, E)
model.set_segment(B, C)
model.set_segment(A, B)
model.set_segment(C, D)
model.set_segment(A, C)
model.set_segment(E, B)
model.set_segment(E, C)
# 4. Collinear Sections
model.set_section([A, D, E])
# 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
model.set_polygon([A, B, C, D])
model.set_polygon([E, B, C])
model.set_polygon([A, B, C])
return model
if __name__ == "__main__":
construct_g1()