G.348 numbers investigate whether — Code¶
Given two numbers, to investigate whether it is possible to find a third proportional to them.
"""Programmatic construction for Book IX, Proposition 18 (IX.18)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0414.g1 using geometor.model."""
model = Model("IX.18")
# Left column: single-letter horizontal number segments A, B
A_l = model.set_point(27.0, -20.0, classes=["given"], ID="A")
A_r = model.set_point(76.0, -20.0, ID="A_r")
B_l = model.set_point(28.0, -47.5, classes=["given"], ID="B")
B_r = model.set_point(92.0, -47.5, ID="B_r")
# Right column: single-letter horizontal number segments D, C
D_l = model.set_point(179.0, -25.5, classes=["given"], ID="D")
D_r = model.set_point(261.0, -25.5, ID="D_r")
C_l = model.set_point(145.0, -54.0, classes=["given"], ID="C")
C_r = model.set_point(390.0, -54.0, ID="C_r")
# Number segments
model.set_segment(A_l, A_r)
model.set_segment(B_l, B_r)
model.set_segment(D_l, D_r)
model.set_segment(C_l, C_r)
return model
if __name__ == "__main__":
construct_g1()