G.272 numbers multiplying number — Code¶
If two numbers by multiplying any number make certain numbers, the numbers so produced will have the same ratio as the multipliers.
"""Programmatic construction for Book VII, Proposition 18 (VII.18)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0324.g1 using geometor.model."""
model = Model("VII.18")
# Single-letter horizontal number segments C, A, B, D, E
C_l = model.set_point(23.0, -14.0, classes=["given"], ID="C")
C_r = model.set_point(58.0, -14.0, ID="C_r")
A_l = model.set_point(101.0, -14.0, classes=["given"], ID="A")
A_r = model.set_point(181.0, -14.0, ID="A_r")
B_l = model.set_point(102.0, -35.0, classes=["given"], ID="B")
B_r = model.set_point(217.0, -35.0, ID="B_r")
D_l = model.set_point(102.0, -55.0, classes=["given"], ID="D")
D_r = model.set_point(197.0, -55.0, ID="D_r")
E_l = model.set_point(102.0, -80.0, classes=["given"], ID="E")
E_r = model.set_point(245.0, -80.0, ID="E_r")
# Number segments
model.set_segment(C_l, C_r)
model.set_segment(A_l, A_r)
model.set_segment(B_l, B_r)
model.set_segment(D_l, D_r)
model.set_segment(E_l, E_r)
return model
if __name__ == "__main__":
construct_g1()