G.251 numbers prime find — Code

VII.2

Given two numbers not prime to one another, to find their greatest common measure.
A E B C F D G
"""Programmatic construction for Book VII, Proposition 2 (VII.2)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0304.g1 using geometor.model."""
            model = Model("VII.2")

            # Vertical number segment AB (divided at E)
            A = model.set_point(23.0, -12.0, classes=["given"], ID="A")
            E = model.set_point(23.0, -43.0, ID="E")
            B = model.set_point(23.0, -129.0, classes=["given"], ID="B")

            # Vertical number segment CD (divided at F)
            C = model.set_point(59.0, -43.0, classes=["given"], ID="C")
            F = model.set_point(59.0, -60.0, ID="F")
            D = model.set_point(59.0, -129.0, classes=["given"], ID="D")

            # Single-letter number segment G
            G_t = model.set_point(93.0, -73.0, classes=["given"], ID="G")
            G_b = model.set_point(93.0, -113.0, ID="G_b")

            # Base lines
            model.construct_line(A, B)
            model.construct_line(C, D)

            # Whole and subdivided segments on AB
            model.set_segment(A, B)
            model.set_segment(A, E)
            model.set_segment(E, B)

            # Whole and subdivided segments on CD
            model.set_segment(C, D)
            model.set_segment(C, F)
            model.set_segment(F, D)

            # Single-letter segment G
            model.set_segment(G_t, G_b)

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

            return model


        if __name__ == "__main__":
            construct_g1()