G.349 numbers investigate possible — Code¶
Given three numbers, to investigate when it is possible to find a fourth proportional to them.
"""Programmatic construction for Book IX, Proposition 19 (IX.19)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0415.g1 using geometor.model."""
model = Model("IX.19")
# Single-letter horizontal number segments A, B, C, D, E
A_l = model.set_point(29.0, -21.5, classes=["given"], ID="A")
A_r = model.set_point(88.0, -21.5, ID="A_r")
B_l = model.set_point(30.0, -46.5, classes=["given"], ID="B")
B_r = model.set_point(100.0, -46.5, ID="B_r")
C_l = model.set_point(30.0, -70.5, classes=["given"], ID="C")
C_r = model.set_point(136.0, -70.5, ID="C_r")
D_l = model.set_point(31.0, -89.5, classes=["given"], ID="D")
D_r = model.set_point(156.0, -89.5, ID="D_r")
E_l = model.set_point(30.0, -115.0, classes=["given"], ID="E")
E_r = model.set_point(216.0, -115.0, 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()