G.275 numbers prime least — Code

VII.21

Numbers prime to one another are the least of those which have the same ratio with them.
A B C D E
"""Programmatic construction for Book VII, Proposition 21 (VII.21)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0328.g1 using geometor.model."""
            model = Model("VII.21")

            # Single-letter vertical number segments A, B, C, D, E
            A_t = model.set_point(22.0, -10.0, classes=["given"], ID="A")
            A_b = model.set_point(22.0, -114.0, ID="A_b")

            B_t = model.set_point(49.0, -16.0, classes=["given"], ID="B")
            B_b = model.set_point(49.0, -89.0, ID="B_b")

            C_t = model.set_point(128.0, -15.0, classes=["given"], ID="C")
            C_b = model.set_point(128.0, -70.0, ID="C_b")

            D_t = model.set_point(152.0, -12.0, classes=["given"], ID="D")
            D_b = model.set_point(152.0, -54.0, ID="D_b")

            E_t = model.set_point(198.0, -17.0, classes=["given"], ID="E")
            E_b = model.set_point(198.0, -43.0, ID="E_b")

            # Number segments
            model.set_segment(A_t, A_b)
            model.set_segment(B_t, B_b)
            model.set_segment(C_t, C_b)
            model.set_segment(D_t, D_b)
            model.set_segment(E_t, E_b)

            return model


        if __name__ == "__main__":
            construct_g1()