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X₂₂₂₄¶

X₂-ISOCONJUGATE OF X₆₇₄

X₂₂₂₄ = cevapoint of X(55,2110)

X₂₂₂₄ (X₂-ISOCONJUGATE OF X₆₇₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2224 = X_2-ISOCONJUGATE OF X_674."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            intersect_lines,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02224(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2224 = X_2-ISOCONJUGATE OF X_674 on reference triangle ABC."""
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center"])
            X_81 = eval_trilinear_point(model, A, B, C, '1/(b + c)', ID="X_81", classes=["center"])
            X_163 = eval_trilinear_point(model, A, B, C, '(sin(2*A))/(sin(2*B) - sin(2*C))', ID="X_163", classes=["center"])
            central_line(model, X_2, X_101, 2, 101)
            central_line(model, X_81, X_163, 81, 163)
            X_2224 = intersect_lines(model, X_2, X_101, X_81, X_163, ID="X_2224", classes=["selected", "target"])
            X_36 = eval_trilinear_point(model, A, B, C, '1 - 2*cos(A)', ID="X_36", classes=["center", "incident"])
            X_291 = eval_trilinear_point(model, A, B, C, '1/(a**(2) - b*c)', ID="X_291", classes=["center", "incident"])
            central_line(model, X_36, X_291, 36, 291, incident=True)
            return promote_point_to_top(model, X_2224)


        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_2224 on the given reference triangle."""
            model = create_model('X_2224 = X_2-ISOCONJUGATE OF X_674')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02224(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-02224.json"))
            write_center_svg(
                model_acute,
                here / "x-02224.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2224¶

X₂₂₂₄¶