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X₂₈₉₄¶

ANTICOMPLEMENTARY CONJUGATE OF X₇₂

X₂₈₉₄ (ANTICOMPLEMENTARY CONJUGATE OF X₇₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2894 = ANTICOMPLEMENTARY CONJUGATE OF X_72."""

        from __future__ import annotations

        from pathlib import Path

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

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


        def construct_x_02894(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2894 = ANTICOMPLEMENTARY CONJUGATE OF X_72 on reference triangle ABC."""
            X_943 = eval_trilinear_point(model, A, B, C, '(1/(2*a*b*c + (b + c)*(a - b + c)*(a + b - c)))', ID="X_943", classes=["center"])
            X_2894 = anticomplement(model, A, B, C, X_943, ID="X_2894", classes=["selected", "target"])
            X_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            X_144 = eval_trilinear_point(model, A, B, C, '(csc(A))*(tan(B/2) + tan(C/2) - tan(A/2))', ID="X_144", classes=["center", "incident"])
            central_line(model, X_4, X_144, 4, 144, incident=True)
            X_21 = eval_trilinear_point(model, A, B, C, '1/(cos(B) + cos(C))', ID="X_21", classes=["center", "incident"])
            X_149 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(3) + c**(3) - a**(3) + (a**(2) - b*c)*(b + c) + a*(b*c - b**(2) - c**(2))))', ID="X_149", classes=["center", "incident"])
            central_line(model, X_21, X_149, 21, 149, incident=True)
            X_145 = eval_trilinear_point(model, A, B, C, 'b*c*(3*a - b - c)', ID="X_145", classes=["center", "incident"])
            X_377 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(4) + c**(4) - a**(4) - 2*b**(2)*c**(2) - 2*a*b*c*(a + b + c)))', ID="X_377", classes=["center", "incident"])
            central_line(model, X_145, X_377, 145, 377, incident=True)
            return promote_point_to_top(model, X_2894)


        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_2894 on the given reference triangle."""
            model = create_model('X_2894 = ANTICOMPLEMENTARY CONJUGATE OF X_72')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02894(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-02894.json"))
            write_center_svg(
                model_acute,
                here / "x-02894.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2894¶

X₂₈₉₄¶