G.331 numbers multiplying make — Code

IX.2

If two numbers by multiplying one another make a square number, they are similar plane numbers.
A B C D
"""Programmatic construction for Book IX, Proposition 2 (IX.2)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0391.g1 using geometor.model."""
            model = Model("IX.2")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(30.0, -22.5, classes=["given"], ID="A")
            A_r = model.set_point(101.0, -22.5, ID="A_r")

            B_l = model.set_point(29.0, -49.5, classes=["given"], ID="B")
            B_r = model.set_point(122.0, -49.5, ID="B_r")

            C_l = model.set_point(27.0, -73.5, classes=["given"], ID="C")
            C_r = model.set_point(246.0, -73.5, ID="C_r")

            D_l = model.set_point(26.0, -94.0, classes=["given"], ID="D")
            D_r = model.set_point(192.0, -94.0, ID="D_r")

            # Number 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)

            return model


        if __name__ == "__main__":
            construct_g1()