G.295 find the number which is the least that — Code¶
Find the number which is the least that will have given parts.
"""Programmatic construction for Book VII, Proposition 39 (VII.39)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0349.g1 using geometor.model."""
model = Model("VII.39")
# Given parts A, B, C
A_l = model.set_point(66.0, -19.0, classes=["given"], ID="A")
A_r = model.set_point(93.0, -19.0, ID="A_r")
B_l = model.set_point(128.0, -19.0, classes=["given"], ID="B")
B_r = model.set_point(165.0, -19.0, ID="B_r")
C_l = model.set_point(210.0, -19.0, classes=["given"], ID="C")
C_r = model.set_point(260.0, -19.0, ID="C_r")
# Homonymous numbers D, E, F
D_l = model.set_point(70.0, -43.0, classes=["given"], ID="D")
D_r = model.set_point(113.0, -43.0, ID="D_r")
E_l = model.set_point(149.0, -43.0, classes=["given"], ID="E")
E_r = model.set_point(224.0, -43.0, ID="E_r")
F_l = model.set_point(98.0, -67.0, classes=["given"], ID="F")
F_r = model.set_point(185.0, -67.0, ID="F_r")
# Least number G measured by D, E, F and lesser number H
G_l = model.set_point(9.0, -93.0, classes=["given"], ID="G")
G_r = model.set_point(304.0, -93.0, ID="G_r")
H_l = model.set_point(45.0, -116.0, classes=["given"], ID="H")
H_r = model.set_point(255.0, -116.0, ID="H_r")
# 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)
model.set_segment(G_l, G_r)
model.set_segment(H_l, H_r)
return model
if __name__ == "__main__":
construct_g1()