G.325 numbers continued proportion — Code¶
If four numbers be in continued proportion, and the first be cube, the fourth is cube.
"""Programmatic construction for Book VIII, Proposition 23 (VIII.23)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0385.g2 using geometor.model."""
model = Model("VIII.23")
# Single-letter horizontal number segments A, B, C, D
A_l = model.set_point(19.0, -14.0, classes=["given"], ID="A")
A_r = model.set_point(86.0, -14.0, ID="A_r")
B_l = model.set_point(21.0, -34.0, classes=["given"], ID="B")
B_r = model.set_point(120.0, -34.0, ID="B_r")
C_l = model.set_point(22.0, -54.0, classes=["given"], ID="C")
C_r = model.set_point(162.0, -54.0, ID="C_r")
D_l = model.set_point(23.0, -75.0, classes=["given"], ID="D")
D_r = model.set_point(230.0, -75.0, ID="D_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)
return model
if __name__ == "__main__":
construct_g1()