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X₂₉₃₃¶

TANGENTIAL-ISOGONAL CONJUGATE OF X₅₆

X₂₉₃₃ is the tangential-isogonal conjugate of X₅₆.

X₂₉₃₃ (TANGENTIAL-ISOGONAL CONJUGATE OF X₅₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2933 = TANGENTIAL-ISOGONAL CONJUGATE OF X_56."""

        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,
            ceva_conjugate,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
            spieker_center_of,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02933(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2933 = TANGENTIAL-ISOGONAL CONJUGATE OF X_56 on reference triangle ABC."""
            X_312 = eval_trilinear_point(model, A, B, C, '(b + c - a)*b**(2)*c**(2)', ID="X_312", classes=["center"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center"])
            X_2933 = ceva_conjugate(model, A, B, C, X_312, X_6, ID="X_2933", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            central_line(model, X_3, X_10, 3, 10, incident=True)
            X_45 = eval_trilinear_point(model, A, B, C, '2*b + 2*c - a', ID="X_45", classes=["center", "incident"])
            X_198 = eval_trilinear_point(model, A, B, C, '(a*(cos(B) + cos(C) - cos(A) - 1))', ID="X_198", classes=["center", "incident"])
            central_line(model, X_45, X_198, 45, 198, incident=True)
            X_22 = eval_trilinear_point(model, A, B, C, 'a*(b**(4) + c**(4) - a**(4))', ID="X_22", classes=["center", "incident"])
            X_1603 = point_from_barycentrics(model, A, B, C, 1.1738452, 1.1872659, -1.3611111, ID="X_1603", classes=["center", "incident"])
            central_line(model, X_22, X_1603, 22, 1603, incident=True)
            return promote_point_to_top(model, X_2933)


        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_2933 on the given reference triangle."""
            model = create_model('X_2933 = TANGENTIAL-ISOGONAL CONJUGATE OF X_56')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02933(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-02933.json"))
            write_center_svg(
                model_acute,
                here / "x-02933.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2933¶

X₂₉₃₃¶