G.376 commensurable magnitudes ratio — Code

X.5

Commensurable magnitudes have to one another the ratio which a number has to a number.
A B C D E
"""Programmatic construction for Book X, Proposition 5 (X.5)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the magnitude/number bars A, B, C, D, E for Book X, Proposition 5 (X.5)."""
            model = Model("X.5")

            # Single-letter magnitudes A, B, C and numbers D, E
            A_l = model.set_point(18.0, -25.5, classes=["given"], ID="A")
            A_r = model.set_point(144.0, -25.5, ID="A_r")

            B_l = model.set_point(186.0, -25.5, classes=["given"], ID="B")
            B_r = model.set_point(267.0, -25.5, ID="B_r")

            C_l = model.set_point(302.0, -26.5, ID="C")
            C_r = model.set_point(344.0, -26.5, ID="C_r")

            D_l = model.set_point(100.0, -49.5, ID="D")
            D_r = model.set_point(162.0, -49.5, ID="D_r")

            E_l = model.set_point(108.0, -73.5, ID="E")
            E_r = model.set_point(141.0, -73.5, ID="E_r")

            # Segments
            model.set_segment(A_l, A_r)
            model.set_segment(B_l, B_r)
            model.set_segment(C_l, C_r)
            model.set_segment(D_l, D_r)
            model.set_segment(E_l, E_r)

            return model


        if __name__ == "__main__":
            construct_g1()