G.427 find the third binomial segment — Code¶
Find the third binomial segment.
"""Programmatic construction for Book X, Proposition 50 (X.50)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0110.g1 using geometor.model."""
model = Model("X.50")
# Single-letter magnitude segments E, K, D
E_l = model.set_point(17.0, -31.5, classes=["given"], ID="E")
E_r = model.set_point(89.0, -31.5, ID="E_r")
K_l = model.set_point(123.0, -20.5, classes=["given"], ID="K")
K_r = model.set_point(182.0, -20.5, ID="K_r")
D_l = model.set_point(252.0, -41.0, classes=["given"], ID="D")
D_r = model.set_point(321.0, -41.0, ID="D_r")
# Number line AB divided at C
A = model.set_point(221.0, -20.5, classes=["given"], ID="A")
C = model.set_point(297.0, -20.5, classes=["given"], ID="C")
B = model.set_point(343.0, -20.5, classes=["given"], ID="B")
# Line FH divided at G
F = model.set_point(20.0, -58.5, classes=["given"], ID="F")
G = model.set_point(123.0, -58.5, classes=["given"], ID="G")
H = model.set_point(190.0, -58.5, classes=["given"], ID="H")
# Base lines
model.construct_line(E_l, E_r)
model.construct_line(K_l, K_r)
model.construct_line(A, B)
model.construct_line(D_l, D_r)
model.construct_line(F, H)
# Segments
model.set_segment(E_l, E_r)
model.set_segment(K_l, K_r)
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(C, B)
model.set_segment(D_l, D_r)
model.set_segment(F, H)
model.set_segment(F, G)
model.set_segment(G, H)
# Collinear sections
model.set_section([A, C, B])
model.set_section([F, G, H])
return model
if __name__ == "__main__":
construct_g1()