G.377 magnitudes ratio number — Code¶
If two magnitudes have to one another the ratio which a number has to a number, the magnitudes is commensurable.
"""Programmatic construction for Book X, Proposition 6 (X.6)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the magnitude/number bars A, B, C, D, E, F for Book X, Proposition 6 (X.6)."""
model = Model("X.6")
# Single-letter magnitudes A, B, C, F and numbers D, E
A_l = model.set_point(14.0, -19.0, classes=["given"], ID="A")
A_1 = model.set_point(56.0, -19.0, ID="A_1")
A_2 = model.set_point(98.0, -19.0, ID="A_2")
A_r = model.set_point(140.0, -19.0, ID="A_r")
B_l = model.set_point(193.0, -18.5, classes=["given"], ID="B")
B_r = model.set_point(270.0, -18.5, ID="B_r")
C_l = model.set_point(326.0, -18.0, ID="C")
C_r = model.set_point(370.0, -18.0, ID="C_r")
D_l = model.set_point(104.0, -43.0, classes=["given"], ID="D")
D_r = model.set_point(172.0, -43.0, ID="D_r")
E_l = model.set_point(104.0, -65.5, classes=["given"], ID="E")
E_r = model.set_point(149.0, -65.5, ID="E_r")
F_l = model.set_point(249.0, -64.5, ID="F")
F_r = model.set_point(321.0, -64.5, 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)
# Subdivisions of A
model.set_section([A_l, A_1, A_2])
model.set_section([A_1, A_2, A_r])
return model
if __name__ == "__main__":
construct_g1()