G.383 find two segments incommensurable — Code¶
Find two segments incommensurable, the one in length only, and the other in square also, with an assigned segment.
"""Programmatic construction for Book X, Proposition 10 (X.10)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0036.g1 using geometor.model."""
model = Model("X.10")
# Single-letter straight line segment A
A_l = model.set_point(28.0, -20.0, classes=["given"], ID="A")
A_r = model.set_point(113.0, -20.0, ID="A_r")
# Single-letter straight line segment D
D_l = model.set_point(28.0, -47.0, ID="D")
D_r = model.set_point(132.0, -47.0, ID="D_r")
# Single-letter straight line segment E
E_l = model.set_point(29.0, -66.0, ID="E")
E_r = model.set_point(124.0, -66.0, ID="E_r")
# Single-letter number segment B
B_l = model.set_point(31.0, -88.5, classes=["given"], ID="B")
B_r = model.set_point(83.0, -88.5, ID="B_r")
# Single-letter number segment C
C_l = model.set_point(30.0, -109.5, classes=["given"], ID="C")
C_r = model.set_point(111.0, -109.5, ID="C_r")
# Base lines
model.construct_line(A_l, A_r)
model.construct_line(D_l, D_r)
model.construct_line(E_l, E_r)
model.construct_line(B_l, B_r)
model.construct_line(C_l, C_r)
# Magnitude and number segments
model.set_segment(A_l, A_r)
model.set_segment(D_l, D_r)
model.set_segment(E_l, E_r)
model.set_segment(B_l, B_r)
model.set_segment(C_l, C_r)
return model
if __name__ == "__main__":
construct_g1()