G.291 numbers measure number — Code

VII.35

If two numbers measure any number, the least number measured by them will also measure the same.
A B C F D E
"""Programmatic construction for Book VII, Proposition 35 (VII.35)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0345.g1 using geometor.model."""
            model = Model("VII.35")

            # Single-letter number segments A and B
            A_l = model.set_point(25.0, -15.0, classes=["given"], ID="A")
            A_r = model.set_point(84.0, -15.0, ID="A_r")

            B_l = model.set_point(128.0, -14.0, classes=["given"], ID="B")
            B_r = model.set_point(204.0, -14.0, ID="B_r")

            # Subdivided horizontal number segment CD (divided at F)
            C = model.set_point(30.0, -39.0, classes=["given"], ID="C")
            F = model.set_point(91.0, -39.0, ID="F")
            D = model.set_point(234.0, -39.0, classes=["given"], ID="D")

            # Single-letter number segment E
            E_l = model.set_point(42.0, -66.0, classes=["given"], ID="E")
            E_r = model.set_point(128.0, -66.0, ID="E_r")

            # Base line for CD
            model.construct_line(C, D)

            # Single-letter segments A, B, E
            model.set_segment(A_l, A_r)
            model.set_segment(B_l, B_r)
            model.set_segment(E_l, E_r)

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

            # Collinear section
            model.set_section([C, F, D])

            return model


        if __name__ == "__main__":
            construct_g1()