G.405 find two medial segments commensurable in square only — Code¶
Find two medial segments commensurable in square only, containing a rational rectangle, and such that the square on the greater is greater than the square on the less by the square on a segment commensurable in length with the greater.
"""Programmatic construction for Book X, Proposition 31 (X.31)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0073.g1 using geometor.model."""
model = Model("X.31")
# Vertical straight line segments A, B, C, D
A_t = model.set_point(24.0, -13.0, classes=["given"], ID="A")
A_b = model.set_point(24.0, -142.0, ID="A_b")
B_t = model.set_point(54.5, -54.0, classes=["given"], ID="B")
B_b = model.set_point(54.5, -142.0, ID="B_b")
C_t = model.set_point(81.5, -33.0, ID="C")
C_b = model.set_point(81.5, -139.0, ID="C_b")
D_t = model.set_point(111.0, -74.0, ID="D")
D_b = model.set_point(111.0, -141.0, ID="D_b")
for p_t, p_b in [(A_t, A_b), (B_t, B_b), (C_t, C_b), (D_t, D_b)]:
model.construct_line(p_t, p_b)
model.set_segment(p_t, p_b)
return model
if __name__ == "__main__":
construct_g1()