G.476 find the sixth apotome — Code¶
Find the sixth apotome.
"""Programmatic construction for Book X, Proposition 90 (X.90)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0192.g1 using geometor.model."""
model = Model("X.90")
# Single-letter magnitude segments A, K, E
A_l = model.set_point(53.0, -18.5, classes=["given"], ID="A")
A_r = model.set_point(223.0, -18.5, ID="A_r")
K_l = model.set_point(27.0, -78.5, classes=["given"], ID="K")
K_r = model.set_point(159.0, -78.5, ID="K_r")
E_l = model.set_point(27.0, -107.5, classes=["given"], ID="E")
E_r = model.set_point(114.0, -107.5, ID="E_r")
# Line FG divided at H
F = model.set_point(28.0, -47.0, classes=["given"], ID="F")
H = model.set_point(67.0, -47.0, classes=["given"], ID="H")
G = model.set_point(247.0, -47.0, classes=["given"], ID="G")
# Number line BC divided at D
B = model.set_point(59.0, -137.5, classes=["given"], ID="B")
D = model.set_point(111.0, -137.5, classes=["given"], ID="D")
C = model.set_point(205.0, -137.5, 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()