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X₉₁₄¶

ISOGONAL CONJUGATE OF X₉₁₃

X₉₁₄ (ISOGONAL CONJUGATE OF X₉₁₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_914 = ISOGONAL CONJUGATE OF X_913."""

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


        def construct_x_00914(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_914 = ISOGONAL CONJUGATE OF X_913 on reference triangle ABC."""
            X_913 = point_from_barycentrics(model, A, B, C, -0.12730133, 0.53064554, 0.59665579, ID="X_913", classes=["center"])
            X_914 = isogonal_conjugate(model, A, B, C, X_913, ID="X_914", classes=["selected", "target"])
            X_63 = eval_trilinear_point(model, A, B, C, 'cot(A)', ID="X_63", classes=["center", "incident"])
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            central_line(model, X_63, X_69, 63, 69, incident=True)
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center", "incident"])
            X_224 = eval_trilinear_point(model, A, B, C, '(cot(B)*(cos(B/2))**(2) + cot(C)*(cos(C/2))**(2) - cot(A)*(cos(A/2))**(2))*cot(A)', ID="X_224", classes=["center", "incident"])
            central_line(model, X_8, X_224, 8, 224, incident=True)
            X_514 = eval_trilinear_point(model, A, B, C, '(b - c)/a', ID="X_514", classes=["center", "incident"])
            X_661 = eval_trilinear_point(model, A, B, C, 'cot(B) - cot(C)', ID="X_661", classes=["center", "incident"])
            central_line(model, X_514, X_661, 514, 661, incident=True)
            return promote_point_to_top(model, X_914)


        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_914 on the given reference triangle."""
            model = create_model('X_914 = ISOGONAL CONJUGATE OF X_913')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00914(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-00914.json"))
            write_center_svg(
                model_acute,
                here / "x-00914.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X914¶

X₉₁₄¶