G.406 find two medial segments commensurable in square only — Code¶
Find two medial segments commensurable in square only, containing a medial rectangle, and such that the square on the greater is greater than the square on the less by the square on a segment commensurable with the greater.
"""Programmatic construction for Book X, Proposition 32 (X.32)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0076.g1 using geometor.model."""
model = Model("X.32")
# Rational straight lines A, B, C
A_l = model.set_point(32.0, -19.5, classes=["given"], ID="A")
A_r = model.set_point(157.0, -19.5, ID="A_r")
B_l = model.set_point(31.0, -52.5, classes=["given"], ID="B")
B_r = model.set_point(142.0, -52.5, ID="B_r")
C_l = model.set_point(31.0, -84.5, classes=["given"], ID="C")
C_r = model.set_point(115.0, -84.5, ID="C_r")
# Medial straight lines D, E
D_l = model.set_point(214.0, -38.5, ID="D")
D_r = model.set_point(333.0, -38.5, ID="D_r")
E_l = model.set_point(214.0, -70.5, ID="E")
E_r = model.set_point(294.0, -70.5, ID="E_r")
for p_l, p_r in [(A_l, A_r), (B_l, B_r), (C_l, C_r), (D_l, D_r), (E_l, E_r)]:
model.construct_line(p_l, p_r)
model.set_segment(p_l, p_r)
return model
if __name__ == "__main__":
construct_g1()