G.470 find the third apotome — Code¶
Find the third apotome.
"""Programmatic construction for Book X, Proposition 87 (X.87)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0185.g1 using geometor.model."""
model = Model("X.87")
# Single-letter magnitude segments A, K, E
A_l = model.set_point(31.0, -16.5, classes=["given"], ID="A")
A_r = model.set_point(200.0, -16.5, ID="A_r")
K_l = model.set_point(64.0, -80.5, classes=["given"], ID="K")
K_r = model.set_point(197.0, -80.5, ID="K_r")
E_l = model.set_point(106.0, -110.5, classes=["given"], ID="E")
E_r = model.set_point(192.0, -110.5, ID="E_r")
# Line FG divided at H
F = model.set_point(22.0, -44.0, classes=["given"], ID="F")
H = model.set_point(61.0, -44.0, classes=["given"], ID="H")
G = model.set_point(245.0, -44.0, classes=["given"], ID="G")
# Number line BC divided at D
B = model.set_point(79.0, -137.0, classes=["given"], ID="B")
D = model.set_point(132.0, -137.0, classes=["given"], ID="D")
C = model.set_point(228.0, -137.0, classes=["given"], ID="C")
# Base lines
model.construct_line(A_l, A_r)
model.construct_line(F, G)
model.construct_line(K_l, K_r)
model.construct_line(E_l, E_r)
model.construct_line(B, C)
# Segments
model.set_segment(A_l, A_r)
model.set_segment(F, G)
model.set_segment(F, H)
model.set_segment(H, G)
model.set_segment(K_l, K_r)
model.set_segment(E_l, E_r)
model.set_segment(B, C)
model.set_segment(B, D)
model.set_segment(D, C)
# Collinear sections
model.set_section([F, H, G])
model.set_section([B, D, C])
return model
if __name__ == "__main__":
construct_g1()