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X₂₅₈₀¶

X₆-ISOCONJUGATE OF X₂₅₇₄

X₂₅₈₀ (X₆-ISOCONJUGATE OF X₂₅₇₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2580 = X_6-ISOCONJUGATE OF X_2574."""

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


        def construct_x_02580(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2580 = X_6-ISOCONJUGATE OF X_2574 on reference triangle ABC."""
            X_2578 = point_from_barycentrics(model, A, B, C, -4.4869799, 4.7687517, 0.71822818, ID="X_2578", classes=["center"])
            X_2580 = isogonal_conjugate(model, A, B, C, X_2578, ID="X_2580", classes=["selected", "target"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_27 = eval_trilinear_point(model, A, B, C, '(sec(A))/(b + c)', ID="X_27", classes=["center", "incident"])
            central_line(model, X_19, X_27, 19, 27, incident=True)
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_1113 = eval_trilinear_point(model, A, B, C, '(R - d)*cos(A) - 2*R*cos(B)*cos(C)', ID="X_1113", classes=["center", "incident"])
            central_line(model, X_100, X_1113, 100, 1113, incident=True)
            X_162 = eval_trilinear_point(model, A, B, C, '1/(sin(2*B) - sin(2*C))', ID="X_162", classes=["center", "incident"])
            X_1822 = point_from_barycentrics(model, A, B, C, -0.19858607, 0.24538924, 0.95319683, ID="X_1822", classes=["center", "incident"])
            central_line(model, X_162, X_1822, 162, 1822, incident=True)
            return promote_point_to_top(model, X_2580)


        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_2580 on the given reference triangle."""
            model = create_model('X_2580 = X_6-ISOCONJUGATE OF X_2574')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02580(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-02580.json"))
            write_center_svg(
                model_acute,
                here / "x-02580.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2580¶

X₂₅₈₀¶