G.356 even number odd — Code

IX.25

If from an even number an odd number be subtracted, the remainder is odd.
A C D B
"""Programmatic construction for Book IX, Proposition 25 (IX.25)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0421.g1 using geometor.model."""
            model = Model("IX.25")

            # Horizontal number segment AB divided at C and D
            A = model.set_point(13.0, -30.0, classes=["given"], ID="A")
            C = model.set_point(161.0, -30.0, ID="C")
            D = model.set_point(178.0, -30.0, ID="D")
            B = model.set_point(211.0, -30.0, classes=["given"], ID="B")

            # Base line
            model.construct_line(A, B)

            # Whole and subdivided segments
            model.set_segment(A, B)
            model.set_segment(A, C)
            model.set_segment(A, D)
            model.set_segment(C, D)
            model.set_segment(C, B)
            model.set_segment(D, B)

            # Collinear sections
            model.set_section([A, C, B])
            model.set_section([A, D, B])
            model.set_section([C, D, B])

            return model


        if __name__ == "__main__":
            construct_g1()