G.375 commensurable magnitudes find — Code¶
Given three commensurable magnitudes, to find their greatest common measure.
"""Programmatic construction for Book X, Proposition 4 (X.4)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the magnitude bars A, B, C, D, E, F for Book X, Proposition 4 (X.4)."""
model = Model("X.4")
# Single-letter magnitudes A, B, C, D, E, F
A_l = model.set_point(29.0, -21.5, classes=["given"], ID="A")
A_r = model.set_point(161.0, -21.5, ID="A_r")
B_l = model.set_point(28.0, -44.5, classes=["given"], ID="B")
B_r = model.set_point(115.0, -44.5, ID="B_r")
C_l = model.set_point(27.0, -66.5, classes=["given"], ID="C")
C_r = model.set_point(95.0, -66.5, ID="C_r")
D_l = model.set_point(48.0, -95.5, ID="D")
D_r = model.set_point(93.0, -95.5, ID="D_r")
E_l = model.set_point(130.0, -95.5, ID="E")
E_r = model.set_point(152.0, -95.5, ID="E_r")
F_l = model.set_point(175.0, -95.5, ID="F")
F_r = model.set_point(206.0, -95.5, ID="F_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)
model.set_segment(E_l, E_r)
model.set_segment(F_l, F_r)
return model
if __name__ == "__main__":
construct_g1()