G.279 numbers prime product — Code¶
If two numbers be prime to one another, the product of one of them into itself is prime to the remaining one.
"""Programmatic construction for Book VII, Proposition 25 (VII.25)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0332.g1 using geometor.model."""
model = Model("VII.25")
# Single-letter vertical number segments A, D, B, C
A_t = model.set_point(22.0, -10.0, classes=["given"], ID="A")
A_b = model.set_point(22.0, -71.0, ID="A_b")
D_t = model.set_point(22.0, -83.0, classes=["given"], ID="D")
D_b = model.set_point(22.0, -141.0, ID="D_b")
B_t = model.set_point(48.0, -12.0, classes=["given"], ID="B")
B_b = model.set_point(48.0, -60.0, ID="B_b")
C_t = model.set_point(72.0, -13.0, classes=["given"], ID="C")
C_b = model.set_point(72.0, -119.0, ID="C_b")
# Number segments
model.set_segment(A_t, A_b)
model.set_segment(D_t, D_b)
model.set_segment(B_t, B_b)
model.set_segment(C_t, C_b)
return model
if __name__ == "__main__":
construct_g1()