G.472 find the fourth apotome — Code¶
Find the fourth apotome.
"""Programmatic construction for Book X, Proposition 88 (X.88)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0188.g1 using geometor.model."""
model = Model("X.88")
# Single-letter magnitude segments A and H
A_l = model.set_point(28.0, -20.5, classes=["given"], ID="A")
A_r = model.set_point(126.0, -20.5, ID="A_r")
H_l = model.set_point(25.0, -54.0, classes=["given"], ID="H")
H_r = model.set_point(136.0, -54.0, ID="H_r")
# Line BG divided at C
B = model.set_point(259.0, -20.5, classes=["given"], ID="B")
C = model.set_point(312.0, -20.5, classes=["given"], ID="C")
G = model.set_point(387.0, -20.5, classes=["given"], ID="G")
# Number line DE divided at F
D = model.set_point(231.0, -55.0, classes=["given"], ID="D")
F = model.set_point(352.0, -55.0, classes=["given"], ID="F")
E = model.set_point(412.0, -55.0, classes=["given"], ID="E")
# Base lines
model.construct_line(A_l, A_r)
model.construct_line(B, G)
model.construct_line(H_l, H_r)
model.construct_line(D, E)
# Segments
model.set_segment(A_l, A_r)
model.set_segment(B, G)
model.set_segment(B, C)
model.set_segment(C, G)
model.set_segment(H_l, H_r)
model.set_segment(D, E)
model.set_segment(D, F)
model.set_segment(F, E)
# Collinear sections
model.set_section([B, C, G])
model.set_section([D, F, E])
return model
if __name__ == "__main__":
construct_g1()