G.271 number multiplying numbers — Code¶
If a number by multiplying two numbers make certain numbers, the numbers so produced will have the same ratio as the numbers multiplied.
"""Programmatic construction for Book VII, Proposition 17 (VII.17)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0323.g1 using geometor.model."""
model = Model("VII.17")
# Single-letter horizontal number segments A, B, C, D, E, F
A_l = model.set_point(48.0, -16.0, classes=["given"], ID="A")
A_r = model.set_point(123.0, -16.0, ID="A_r")
B_l = model.set_point(30.0, -39.0, classes=["given"], ID="B")
B_r = model.set_point(133.0, -39.0, ID="B_r")
C_l = model.set_point(201.0, -39.0, classes=["given"], ID="C")
C_r = model.set_point(328.0, -39.0, ID="C_r")
D_l = model.set_point(19.0, -65.0, classes=["given"], ID="D")
D_r = model.set_point(158.0, -65.0, ID="D_r")
E_l = model.set_point(196.0, -65.0, classes=["given"], ID="E")
E_r = model.set_point(374.0, -65.0, ID="E_r")
F_l = model.set_point(54.0, -90.0, classes=["given"], ID="F")
F_r = model.set_point(79.0, -90.0, 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()