G.281 numbers prime multiplying — Code¶
If two numbers be prime to one another, and each by multiplying itself make a certain number, the products is prime to one another; and, if the original numbers by multiplying the products make certain numbers, the latter is prime to one another [and this is always the case with the extremes].
"""Programmatic construction for Book VII, Proposition 27 (VII.27)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0334.g1 using geometor.model."""
model = Model("VII.27")
# Single-letter vertical number segments A, B, C, D, E, F
A_t = model.set_point(23.0, -17.0, classes=["given"], ID="A")
A_b = model.set_point(23.0, -74.0, ID="A_b")
B_t = model.set_point(25.0, -112.0, classes=["given"], ID="B")
B_b = model.set_point(25.0, -155.0, ID="B_b")
C_t = model.set_point(51.0, -14.0, classes=["given"], ID="C")
C_b = model.set_point(51.0, -106.0, ID="C_b")
D_t = model.set_point(80.0, -11.0, classes=["given"], ID="D")
D_b = model.set_point(80.0, -141.0, ID="D_b")
E_t = model.set_point(110.0, -11.0, classes=["given"], ID="E")
E_b = model.set_point(110.0, -78.0, ID="E_b")
F_t = model.set_point(141.0, -10.0, classes=["given"], ID="F")
F_b = model.set_point(141.0, -102.0, ID="F_b")
# Number segments
model.set_segment(A_t, A_b)
model.set_segment(B_t, B_b)
model.set_segment(C_t, C_b)
model.set_segment(D_t, D_b)
model.set_segment(E_t, E_b)
model.set_segment(F_t, F_b)
return model
if __name__ == "__main__":
construct_g1()