G.315 cube number measure — Code¶
If a cube number measure a cube number, the side will also measure the side; and, if the side measure the side, the cube will also measure the cube.
"""Programmatic construction for Book VIII, Proposition 15 (VIII.15)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0375.g1 using geometor.model."""
model = Model("VIII.15")
# Single-letter horizontal number segments A, B, C, D, E, G, F, H, K
A_l = model.set_point(26.0, -16.0, classes=["given"], ID="A")
A_r = model.set_point(61.0, -16.0, ID="A_r")
B_l = model.set_point(28.0, -40.0, classes=["given"], ID="B")
B_r = model.set_point(282.0, -40.0, ID="B_r")
C_l = model.set_point(26.0, -63.0, classes=["given"], ID="C")
C_r = model.set_point(48.0, -63.0, ID="C_r")
D_l = model.set_point(22.0, -88.0, classes=["given"], ID="D")
D_r = model.set_point(47.0, -88.0, ID="D_r")
E_l = model.set_point(31.0, -110.0, classes=["given"], ID="E")
E_r = model.set_point(51.0, -110.0, ID="E_r")
G_l = model.set_point(28.0, -133.0, classes=["given"], ID="G")
G_r = model.set_point(97.0, -133.0, ID="G_r")
F_l = model.set_point(29.0, -158.0, classes=["given"], ID="F")
F_r = model.set_point(65.0, -158.0, ID="F_r")
H_l = model.set_point(227.0, -64.0, classes=["given"], ID="H")
H_r = model.set_point(297.0, -64.0, ID="H_r")
K_l = model.set_point(228.0, -88.0, classes=["given"], ID="K")
K_r = model.set_point(361.0, -88.0, ID="K_r")
# Number segments
model.set_segment(A_l, A_r)
model.set_segment(B_l, B_r)
model.set_segment(C_l, C_r)
model.set_segment(D_l, D_r)
model.set_segment(E_l, E_r)
model.set_segment(G_l, G_r)
model.set_segment(F_l, F_r)
model.set_segment(H_l, H_r)
model.set_segment(K_l, K_r)
return model
if __name__ == "__main__":
construct_g1()