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X₁₂₅₂¶

ISOGONAL CONJUGATE OF X₁₀₈₆

X₁₂₅₂ is the isogonal conjugate of X₁₀₈₆.

X₁₂₅₂ (ISOGONAL CONJUGATE OF X₁₀₈₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1252 = ISOGONAL CONJUGATE OF X_1086."""

        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_01252(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1252 = ISOGONAL CONJUGATE OF X_1086 on reference triangle ABC."""
            X_1086 = eval_trilinear_point(model, A, B, C, '(b*c*(b - c)**(2))', ID="X_1086", classes=["center"])
            X_1252 = isogonal_conjugate(model, A, B, C, X_1086, ID="X_1252", classes=["selected", "target"])
            X_59 = eval_trilinear_point(model, A, B, C, '1/(1 - cos(B - C))', ID="X_59", classes=["center", "incident"])
            X_672 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) + c**(2) - a*(b + c))', ID="X_672", classes=["center", "incident"])
            central_line(model, X_59, X_672, 59, 672, incident=True)
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_650 = eval_trilinear_point(model, A, B, C, 'cos(B) - cos(C)', ID="X_650", classes=["center", "incident"])
            central_line(model, X_100, X_650, 100, 650, incident=True)
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_649 = eval_trilinear_point(model, A, B, C, 'a*(b - c)', ID="X_649", classes=["center", "incident"])
            central_line(model, X_101, X_649, 101, 649, incident=True)
            return promote_point_to_top(model, X_1252)


        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_1252 on the given reference triangle."""
            model = create_model('X_1252 = ISOGONAL CONJUGATE OF X_1086')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01252(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-01252.json"))
            write_center_svg(
                model_acute,
                here / "x-01252.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1252¶

X₁₂₅₂¶