G.337 many numbers please — Code¶
If as many numbers as we please beginning from an unit be in continued proportion, the third from the unit is square, as will also those which successively leave out one; the fourth is cube, as will also all those which leave out two; and the seventh is at once cube and square, as will also those which leave out five.
"""Programmatic construction for Book IX, Proposition 8 (IX.8)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0396.g1 using geometor.model."""
model = Model("IX.8")
# Single-letter horizontal number segments A, B, C, D, E, F
A_l = model.set_point(31.0, -20.5, classes=["given"], ID="A")
A_r = model.set_point(76.0, -20.5, ID="A_r")
B_l = model.set_point(33.0, -39.5, classes=["given"], ID="B")
B_r = model.set_point(88.0, -39.5, ID="B_r")
C_l = model.set_point(34.0, -58.5, classes=["given"], ID="C")
C_r = model.set_point(110.0, -58.5, ID="C_r")
D_l = model.set_point(34.0, -80.5, classes=["given"], ID="D")
D_r = model.set_point(128.0, -80.5, ID="D_r")
E_l = model.set_point(34.0, -102.5, classes=["given"], ID="E")
E_r = model.set_point(143.0, -102.5, ID="E_r")
F_l = model.set_point(35.0, -124.5, classes=["given"], ID="F")
F_r = model.set_point(165.0, -124.5, ID="F_r")
# Number 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()