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X₉₅₅¶

ISOGONAL CONJUGATE OF X₉₅₄

X₉₅₅ (ISOGONAL CONJUGATE OF X₉₅₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_955 = ISOGONAL CONJUGATE OF X_954."""

        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,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00955(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_955 = ISOGONAL CONJUGATE OF X_954 on reference triangle ABC."""
            X_954 = eval_trilinear_point(model, A, B, C, 'a**(5) + (b + c)*(2*a**(2)*(b**(2) + c**(2) - a**(2) + b*c) - (b - c)**(2)*(2*b*c + a*b + a*c))', ID="X_954", classes=["center"])
            X_955 = isogonal_conjugate(model, A, B, C, X_954, ID="X_955", classes=["selected", "target"])
            X_278 = eval_trilinear_point(model, A, B, C, 'sec(A)*tan(A/2)', ID="X_278", classes=["center", "incident"])
            X_354 = eval_trilinear_point(model, A, B, C, '(b - c)**(2) - a*b - a*c', ID="X_354", classes=["center", "incident"])
            central_line(model, X_278, X_354, 278, 354, incident=True)
            X_279 = eval_trilinear_point(model, A, B, C, 'csc(A)*(tan(A/2))**(2)', ID="X_279", classes=["center", "incident"])
            X_942 = eval_trilinear_point(model, A, B, C, '2*a*b*c + (b + c)*(a - b + c)*(a + b -c)', ID="X_942", classes=["center", "incident"])
            central_line(model, X_279, X_942, 279, 942, incident=True)
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center", "incident"])
            X_991 = eval_trilinear_point(model, A, B, C, 'a*(a**(3)*(b + c) - a**(2)*(b**(2) - b*c + c**(2)) - a*(b + c)*(b**(2) + c**(2)) + (b - c)*(b**(3) - c**(3)))', ID="X_991", classes=["center", "incident"])
            central_line(model, X_57, X_991, 57, 991, incident=True)
            return promote_point_to_top(model, X_955)


        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_955 on the given reference triangle."""
            model = create_model('X_955 = ISOGONAL CONJUGATE OF X_954')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00955(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-00955.json"))
            write_center_svg(
                model_acute,
                here / "x-00955.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X955¶

X₉₅₅¶