G.447 segment commensurable length — Code¶
A segment commensurable in length with a bimedial segment is itself also bimedial and the same in order.
"""Programmatic construction for Book X, Proposition 67 (X.67)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0151.g1 using geometor.model."""
model = Model("X.67")
# Bimedial straight line AB divided into its medials at E
A = model.set_point(18.0, -18.5, classes=["given"], ID="A")
E = model.set_point(112.0, -18.5, classes=["given"], ID="E")
B = model.set_point(159.0, -18.5, classes=["given"], ID="B")
# Straight line CD commensurable in length with AB, divided at F
C = model.set_point(30.0, -41.5, classes=["given"], ID="C")
F = model.set_point(103.0, -41.5, ID="F")
D = model.set_point(137.0, -41.5, classes=["given"], ID="D")
# Base lines
model.construct_line(A, B)
model.construct_line(C, D)
# Segments
model.set_segment(A, B)
model.set_segment(A, E)
model.set_segment(E, B)
model.set_segment(C, D)
model.set_segment(C, F)
model.set_segment(F, D)
# Sections
model.set_section([A, E, B])
model.set_section([C, F, D])
return model
if __name__ == "__main__":
construct_g1()