G.354 many odd numbers — Code¶
If as many odd numbers as we please be added together, and their multitude be odd, the whole is odd.
"""Programmatic construction for Book IX, Proposition 23 (IX.23)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0420.g2 using geometor.model."""
model = Model("IX.23")
# Subdivided horizontal number segment AD (divided at B, C, E)
A = model.set_point(13.0, -26.5, classes=["given"], ID="A")
B = model.set_point(63.0, -26.5, ID="B")
C = model.set_point(177.0, -26.5, ID="C")
E = model.set_point(237.0, -26.5, ID="E")
D = model.set_point(254.0, -26.5, classes=["given"], ID="D")
# Base line
model.construct_line(A, D)
# Whole and subdivided segments on AD
model.set_segment(A, D)
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(C, D)
model.set_segment(C, E)
model.set_segment(E, D)
model.set_segment(A, C)
model.set_segment(A, E)
model.set_segment(B, E)
model.set_segment(B, D)
# Collinear sections
model.set_section([A, B, C])
model.set_section([B, C, D])
model.set_section([C, E, D])
model.set_section([A, C, E])
model.set_section([A, E, D])
return model
if __name__ == "__main__":
construct_g1()