G.501 medial segment there — Code¶
From a medial segment there arise irrational segments infinite in number, and none of them is the same as any of the preceding.
"""Programmatic construction for Book X, Proposition 115 (X.115)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0258.g1 using geometor.model."""
model = Model("X.115")
# Four single-letter magnitude segments A, B, C, D
A_l = model.set_point(30.0, -19.5, classes=["given"], ID="A")
A_r = model.set_point(123.0, -19.5, ID="A_r")
B_l = model.set_point(30.0, -48.5, classes=["given"], ID="B")
B_r = model.set_point(268.0, -48.5, ID="B_r")
C_l = model.set_point(29.0, -76.5, ID="C")
C_r = model.set_point(214.0, -76.5, ID="C_r")
D_l = model.set_point(30.0, -109.5, ID="D")
D_r = model.set_point(239.0, -109.5, ID="D_r")
# Base lines
model.construct_line(A_l, A_r)
model.construct_line(B_l, B_r)
model.construct_line(C_l, C_r)
model.construct_line(D_l, D_r)
# Segments
model.set_segment(A_l, A_r)
model.set_segment(B_l, B_r)
model.set_segment(C_l, C_r)
model.set_segment(D_l, D_r)
return model
if __name__ == "__main__":
construct_g1()