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X₂₄₄₄¶

ISOGONAL CONJUGATE OF X₂₄₁₈

X₂₄₄₄ is the isogonal conjugate of X₂₄₁₈.

X₂₄₄₄ (ISOGONAL CONJUGATE OF X₂₄₁₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2444 = ISOGONAL CONJUGATE OF X_2418."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            isogonal_conjugate,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02444(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2444 = ISOGONAL CONJUGATE OF X_2418 on reference triangle ABC."""
            X_2418 = eval_trilinear_point(model, A, B, C, '(b*c*(2*a**(2) - b**(2) - c**(2))/((5*a**(2) - b**(2) - c**(2))*(b**(2) - c**(2))))', ID="X_2418", classes=["center"])
            X_2444 = isogonal_conjugate(model, A, B, C, X_2418, ID="X_2444", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_512 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))', ID="X_512", classes=["center", "incident"])
            central_line(model, X_6, X_512, 6, 512, incident=True)
            X_691 = eval_trilinear_point(model, A, B, C, 'a/((b**(2) - c**(2))*(2*a**(2) - b**(2) - c**(2)))', ID="X_691", classes=["center", "incident"])
            X_2421 = eval_trilinear_point(model, A, B, C, '(sin(A))*(sin(2*B) + sin(2*C) - 2*(cot(A))*((sin(B))**(2) + (sin(C))**(2)))/(cot(B) - cot(C))', ID="X_2421", classes=["center", "incident"])
            central_line(model, X_691, X_2421, 691, 2421, incident=True)
            X_1499 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) - c**(2))*(b**(2) + c**(2) - 5*a**(2))', ID="X_1499", classes=["center", "incident"])
            X_1992 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) + c**(2) - 5*a**(2))', ID="X_1992", classes=["center", "incident"])
            central_line(model, X_1499, X_1992, 1499, 1992, incident=True)
            return promote_point_to_top(model, X_2444)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_2444 on the given reference triangle."""
            model = create_model('X_2444 = ISOGONAL CONJUGATE OF X_2418')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02444(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-02444.json"))
            write_center_svg(
                model_acute,
                here / "x-02444.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2444¶

X₂₄₄₄¶