G.423 find the first binomial segment — Code¶
Find the first binomial segment.
"""Programmatic construction for Book X, Proposition 48 (X.48)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0106.g1 using geometor.model."""
model = Model("X.48")
# Single-letter magnitude segments D and H
D_l = model.set_point(15.0, -21.0, classes=["given"], ID="D")
D_r = model.set_point(91.0, -21.0, ID="D_r")
H_l = model.set_point(145.0, -20.5, classes=["given"], ID="H")
H_r = model.set_point(207.0, -20.5, ID="H_r")
# Line EG divided at F
E = model.set_point(23.0, -55.5, classes=["given"], ID="E")
F = model.set_point(125.0, -55.5, classes=["given"], ID="F")
G = model.set_point(191.0, -55.5, classes=["given"], ID="G")
# Number line AB divided at C
A = model.set_point(91.0, -87.5, classes=["given"], ID="A")
C = model.set_point(167.0, -87.5, classes=["given"], ID="C")
B = model.set_point(212.0, -87.5, classes=["given"], ID="B")
# Base lines
model.construct_line(D_l, D_r)
model.construct_line(H_l, H_r)
model.construct_line(E, G)
model.construct_line(A, B)
# Segments
model.set_segment(D_l, D_r)
model.set_segment(H_l, H_r)
model.set_segment(E, G)
model.set_segment(E, F)
model.set_segment(F, G)
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(C, B)
# Collinear sections
model.set_section([E, F, G])
model.set_section([A, C, B])
return model
if __name__ == "__main__":
construct_g1()