G.350 prime numbers more — Code¶
Prime numbers are more than any assigned multitude of prime numbers.
"""Programmatic construction for Book IX, Proposition 20 (IX.20)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0418.g1 using geometor.model."""
model = Model("IX.20")
# Single-letter horizontal number segments A, B, C, G
A_l = model.set_point(28.0, -16.5, classes=["given"], ID="A")
A_r = model.set_point(47.0, -16.5, ID="A_r")
B_l = model.set_point(30.0, -37.5, classes=["given"], ID="B")
B_r = model.set_point(53.0, -37.5, ID="B_r")
C_l = model.set_point(29.0, -64.0, classes=["given"], ID="C")
C_r = model.set_point(68.0, -64.0, ID="C_r")
G_l = model.set_point(181.0, -38.5, classes=["given"], ID="G")
G_r = model.set_point(250.0, -38.5, ID="G_r")
# Subdivided horizontal number segment EF (divided at D, where ED = DE and DF = unit)
E = model.set_point(27.0, -88.0, classes=["given"], ID="E")
D = model.set_point(258.0, -88.0, ID="D")
F = model.set_point(267.0, -88.0, classes=["given"], ID="F")
# Base line for EF
model.construct_line(E, F)
# Number segments A, B, C, G
model.set_segment(A_l, A_r)
model.set_segment(B_l, B_r)
model.set_segment(C_l, C_r)
model.set_segment(G_l, G_r)
# Whole and subdivided segments on EF
model.set_segment(E, F)
model.set_segment(E, D)
model.set_segment(D, F)
# Collinear section
model.set_section([E, D, F])
return model
if __name__ == "__main__":
construct_g1()