G.198 magnitudes proportional componendo — Code

V.17

If magnitudes be proportional componendo, they is proportional separando.
A E B C F D G H K O L M N P
"""Programmatic construction for Book V, Proposition 17 (V.17)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0173.g1 (Book V, Prop. 17 subdivided magnitudes AB, CD, GO, LP)."""
            model = Model("V.17")

            # Top-left magnitude AB subdivided at E
            A = model.set_point(99.00, -19.00, classes=["given"], ID="A")
            E = model.set_point(179.00, -19.00, classes=["given"], ID="E")
            B = model.set_point(223.00, -19.00, classes=["given"], ID="B")
            model.set_segment(A, B)
            model.set_segment(A, E)
            model.set_segment(E, B)
            model.set_section([A, E, B])

            # Top-right magnitude CD subdivided at F
            C = model.set_point(312.00, -19.00, classes=["given"], ID="C")
            F = model.set_point(358.00, -19.00, classes=["given"], ID="F")
            D = model.set_point(383.00, -19.00, classes=["given"], ID="D")
            model.set_segment(C, D)
            model.set_segment(C, F)
            model.set_segment(F, D)
            model.set_section([C, F, D])

            # Middle magnitude GO subdivided at H and K
            G = model.set_point(16.00, -76.00, ID="G")
            H = model.set_point(168.00, -76.00, ID="H")
            K = model.set_point(258.00, -76.00, ID="K")
            O = model.set_point(393.00, -76.00, ID="O")
            model.set_segment(G, O)
            model.set_segment(G, K)
            model.set_segment(H, O)
            model.set_segment(G, H)
            model.set_segment(H, K)
            model.set_segment(K, O)
            model.set_section([G, H, K])
            model.set_section([H, K, O])

            # Bottom magnitude LP subdivided at M and N
            L = model.set_point(18.00, -105.00, ID="L")
            M = model.set_point(108.00, -105.00, ID="M")
            N = model.set_point(164.00, -105.00, ID="N")
            P = model.set_point(254.00, -105.00, ID="P")
            model.set_segment(L, P)
            model.set_segment(L, N)
            model.set_segment(M, P)
            model.set_segment(L, M)
            model.set_segment(M, N)
            model.set_segment(N, P)
            model.set_section([L, M, N])
            model.set_section([M, N, P])

            return model


        if __name__ == "__main__":
            construct_g1()