G.316 square number measure — Code¶
If a square number do not measure a square number, neither will the side measure the side; and, if the side do not measure the side, neither will the square measure the square.
"""Programmatic construction for Book VIII, Proposition 16 (VIII.16)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0376.g1 using geometor.model."""
model = Model("VIII.16")
# Single-letter horizontal number segments A, B, C, D
A_l = model.set_point(27.0, -13.0, classes=["given"], ID="A")
A_r = model.set_point(88.0, -13.0, ID="A_r")
B_l = model.set_point(25.0, -39.0, classes=["given"], ID="B")
B_r = model.set_point(168.0, -39.0, ID="B_r")
C_l = model.set_point(26.0, -63.0, classes=["given"], ID="C")
C_r = model.set_point(59.0, -63.0, ID="C_r")
D_l = model.set_point(27.0, -88.0, classes=["given"], ID="D")
D_r = model.set_point(68.0, -88.0, ID="D_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)
return model
if __name__ == "__main__":
construct_g1()