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X₂₉₁₉¶

TANGENTIAL-ISOGONAL CONJUGATE OF X₇

X₂₉₁₉ is the tangential-isogonal conjugate of X₇.

X₂₉₁₉ (TANGENTIAL-ISOGONAL CONJUGATE OF X₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2919 = TANGENTIAL-ISOGONAL CONJUGATE OF X_7."""

        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,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02919(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2919 = TANGENTIAL-ISOGONAL CONJUGATE OF X_7 on reference triangle ABC."""
            X_2919 = point_from_barycentrics(model, A, B, C, 0.66849341, 0.56905682, -0.23755023, ID="X_2919", classes=["selected", "target"])
            X_22 = eval_trilinear_point(model, A, B, C, 'a*(b**(4) + c**(4) - a**(4))', ID="X_22", classes=["center", "incident"])
            X_1615 = point_from_barycentrics(model, A, B, C, 0.68037975, 0.66075949, -0.34113924, ID="X_1615", classes=["center", "incident"])
            central_line(model, X_22, X_1615, 22, 1615, incident=True)
            return promote_point_to_top(model, X_2919)


        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_2919 on the given reference triangle."""
            model = create_model('X_2919 = TANGENTIAL-ISOGONAL CONJUGATE OF X_7')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02919(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-02919.json"))
            write_center_svg(
                model_acute,
                here / "x-02919.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2919¶

X₂₉₁₉¶