G.351 many even numbers — Code¶
If as many even numbers as we please be added together, the whole is even.
"""Programmatic construction for Book IX, Proposition 21 (IX.21)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0419.g1 using geometor.model."""
model = Model("IX.21")
# Subdivided horizontal number segment AE (divided at B, C, D)
A = model.set_point(13.0, -27.5, classes=["given"], ID="A")
B = model.set_point(58.0, -27.5, ID="B")
C = model.set_point(135.0, -27.5, ID="C")
D = model.set_point(262.0, -27.5, ID="D")
E = model.set_point(294.0, -27.5, classes=["given"], ID="E")
# Base line
model.construct_line(A, E)
# Whole and subdivided segments on AE
model.set_segment(A, E)
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(C, D)
model.set_segment(D, E)
model.set_segment(A, C)
model.set_segment(A, D)
model.set_segment(B, D)
model.set_segment(B, E)
model.set_segment(C, E)
# Collinear sections
model.set_section([A, B, C])
model.set_section([B, C, D])
model.set_section([C, D, E])
model.set_section([A, C, E])
return model
if __name__ == "__main__":
construct_g1()