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X₉₁₉¶

ISOGONAL CONJUGATE OF X₉₁₈

X₉₁₉ (ISOGONAL CONJUGATE OF X₉₁₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_919 = ISOGONAL CONJUGATE OF X_918."""

        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_barycentric_point,
            eval_trilinear_point,
            isogonal_conjugate,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00919(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_919 = ISOGONAL CONJUGATE OF X_918 on reference triangle ABC."""
            X_918 = eval_barycentric_point(model, A, B, C, '((b - c)*(b**(2) + c**(2) -a*b - a*c))', ID="X_918", classes=["center"])
            X_919 = isogonal_conjugate(model, A, B, C, X_918, ID="X_919", classes=["selected", "target"])
            X_104 = eval_trilinear_point(model, A, B, C, '1/(-1 + cos(B) + cos(C))', ID="X_104", classes=["center", "incident"])
            X_294 = eval_trilinear_point(model, A, B, C, '((b + c - a)/(b**(2) + c**(2) - a*b - a*c))', ID="X_294", classes=["center", "incident"])
            central_line(model, X_104, X_294, 104, 294, 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_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", 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_109, X_649, 109, 649, incident=True)
            return promote_point_to_top(model, X_919)


        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_919 on the given reference triangle."""
            model = create_model('X_919 = ISOGONAL CONJUGATE OF X_918')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00919(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-00919.json"))
            write_center_svg(
                model_acute,
                here / "x-00919.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X919¶

X₉₁₉¶