G.270 numbers multiplying make — Code¶
If two numbers by multiplying one another make certain numbers, the numbers so produced are equal.
"""Programmatic construction for Book VII, Proposition 16 (VII.16)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0322.g1 using geometor.model."""
model = Model("VII.16")
# Single-letter horizontal number segments A, B, C, D, E
A_l = model.set_point(22.0, -16.0, classes=["given"], ID="A")
A_r = model.set_point(105.0, -16.0, ID="A_r")
B_l = model.set_point(23.0, -39.0, classes=["given"], ID="B")
B_r = model.set_point(134.0, -39.0, ID="B_r")
C_l = model.set_point(22.0, -63.0, classes=["given"], ID="C")
C_r = model.set_point(256.0, -63.0, ID="C_r")
D_l = model.set_point(21.0, -85.0, classes=["given"], ID="D")
D_r = model.set_point(278.0, -85.0, ID="D_r")
E_l = model.set_point(23.0, -111.0, classes=["given"], ID="E")
E_r = model.set_point(51.0, -111.0, ID="E_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)
return model
if __name__ == "__main__":
construct_g1()