G.387 commensurable magnitudes added — Code¶
If two commensurable magnitudes be added together, the whole is commensurable with each of them; and, if the whole be commensurable with one of them, the original magnitudes is commensurable.
"""Programmatic construction for Book X, Proposition 15 (X.15)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0043.g1 using geometor.model."""
model = Model("X.15")
# Collinear points A, B, C on horizontal line AC
A = model.set_point(16.0, -25.5, classes=["given"], ID="A")
B = model.set_point(149.0, -25.5, classes=["given"], ID="B")
C = model.set_point(249.0, -25.5, classes=["given"], ID="C")
# Common measure magnitude D
D_l = model.set_point(19.0, -63.5, ID="D")
D_r = model.set_point(70.0, -63.5, ID="D_r")
# Base lines
model.construct_line(A, C)
model.construct_line(D_l, D_r)
# Whole and subdivided segments on AC
model.set_segment(A, C)
model.set_segment(A, B)
model.set_segment(B, C)
model.set_section([A, B, C])
# Magnitude segment D
model.set_segment(D_l, D_r)
return model
if __name__ == "__main__":
construct_g1()