G.467 find the first apotome — Code¶
Find the first apotome.
"""Programmatic construction for Book X, Proposition 85 (X.85)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0182.g1 using geometor.model."""
model = Model("X.85")
# Single-letter magnitude segments A and H
A_l = model.set_point(29.0, -17.5, classes=["given"], ID="A")
A_r = model.set_point(139.0, -17.5, ID="A_r")
H_l = model.set_point(25.0, -44.5, classes=["given"], ID="H")
H_r = model.set_point(124.0, -44.5, ID="H_r")
# Line BG divided at C
B = model.set_point(211.0, -17.5, classes=["given"], ID="B")
C = model.set_point(244.0, -17.5, classes=["given"], ID="C")
G = model.set_point(372.0, -17.5, classes=["given"], ID="G")
# Number line ED divided at F
E = model.set_point(238.0, -44.5, classes=["given"], ID="E")
F = model.set_point(286.0, -44.5, classes=["given"], ID="F")
D = model.set_point(363.0, -44.5, classes=["given"], ID="D")
# Base lines
model.construct_line(A_l, A_r)
model.construct_line(H_l, H_r)
model.construct_line(B, G)
model.construct_line(E, D)
# Segments
model.set_segment(A_l, A_r)
model.set_segment(H_l, H_r)
model.set_segment(B, G)
model.set_segment(B, C)
model.set_segment(C, G)
model.set_segment(E, D)
model.set_segment(E, F)
model.set_segment(F, D)
# Collinear sections
model.set_section([B, C, G])
model.set_section([E, F, D])
return model
if __name__ == "__main__":
construct_g1()