G.297 find numbers in continued proportion — Code¶
Find numbers in continued proportion, as many as may be prescribed, and the least that are in a given ratio.
"""Programmatic construction for Book VIII, Proposition 2 (VIII.2)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0352.g1 using geometor.model."""
model = Model("VIII.2")
# Single-letter horizontal number segments A, B, C, D, E, F, G, H, K
A_l = model.set_point(29.0, -15.0, classes=["given"], ID="A")
A_r = model.set_point(71.0, -15.0, ID="A_r")
C_l = model.set_point(120.0, -15.0, classes=["given"], ID="C")
C_r = model.set_point(180.0, -15.0, ID="C_r")
B_l = model.set_point(27.0, -45.0, classes=["given"], ID="B")
B_r = model.set_point(81.0, -45.0, ID="B_r")
D_l = model.set_point(120.0, -45.0, classes=["given"], ID="D")
D_r = model.set_point(202.0, -45.0, ID="D_r")
E_l = model.set_point(48.0, -72.0, classes=["given"], ID="E")
E_r = model.set_point(161.0, -72.0, ID="E_r")
F_l = model.set_point(38.0, -100.0, classes=["given"], ID="F")
F_r = model.set_point(140.0, -100.0, ID="F_r")
G_l = model.set_point(178.0, -100.0, classes=["given"], ID="G")
G_r = model.set_point(304.0, -100.0, ID="G_r")
H_l = model.set_point(55.0, -126.0, classes=["given"], ID="H")
H_r = model.set_point(240.0, -126.0, ID="H_r")
K_l = model.set_point(64.0, -154.0, classes=["given"], ID="K")
K_r = model.set_point(224.0, -154.0, 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(F_l, F_r)
model.set_segment(G_l, G_r)
model.set_segment(H_l, H_r)
model.set_segment(K_l, K_r)
return model
if __name__ == "__main__":
construct_g1()