G.489 segment commensurable length — Code¶
A segment commensurable in length with an apotome is an apotome and the same in order.
"""Programmatic construction for Book X, Proposition 103 (X.103)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0233.g1 using geometor.model."""
model = Model("X.103")
# Line AE divided at B
A = model.set_point(31.0, -21.5, classes=["given"], ID="A")
B = model.set_point(92.0, -21.5, classes=["given"], ID="B")
E = model.set_point(149.0, -21.5, classes=["given"], ID="E")
# Line CF divided at D
C = model.set_point(15.0, -51.0, classes=["given"], ID="C")
D = model.set_point(90.0, -51.0, classes=["given"], ID="D")
F = model.set_point(170.0, -51.0, classes=["given"], ID="F")
# Base lines
model.construct_line(A, E)
model.construct_line(C, F)
# Segments
model.set_segment(A, E)
model.set_segment(A, B)
model.set_segment(B, E)
model.set_segment(C, F)
model.set_segment(C, D)
model.set_segment(D, F)
# Sections
model.set_section([A, B, E])
model.set_section([C, D, F])
return model
if __name__ == "__main__":
construct_g1()