G.455 medial segment there — Code¶
If from a medial segment there be subtracted a medial segment which is commensurable with the whole in square only, and which contains with the whole a rational rectangle, the remainder is irrational. And let it be called a first apotome of a medial segment.
"""Programmatic construction for Book X, Proposition 74 (X.74)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0164.g1 using geometor.model."""
model = Model("X.74")
# Medial straight line AB with medial straight line BC subtracted, leaving AC
A = model.set_point(17.0, -18.5, classes=["given"], ID="A")
C = model.set_point(85.0, -18.5, classes=["given"], ID="C")
B = model.set_point(197.0, -18.5, classes=["given"], ID="B")
# Base line
model.construct_line(A, B)
# Segments
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(C, B)
# Section
model.set_section([A, C, B])
return model
if __name__ == "__main__":
construct_g1()