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X₁₂₆¶

X₁₁₁-OF-MEDIAL-TRIANGLE

X₁₂₆ (X₁₁₁-OF-MEDIAL-TRIANGLE) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_126 = X_111-OF-MEDIAL-TRIANGLE."""

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


        def construct_x_00126(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_126 = X_111-OF-MEDIAL-TRIANGLE on reference triangle ABC."""
            X_111 = eval_trilinear_point(model, A, B, C, 'a/(2*a**(2) - b**(2) - c**(2))', ID="X_111", classes=["center"])
            X_126 = complement(model, A, B, C, X_111, ID="X_126", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center", "incident"])
            central_line(model, X_2, X_99, 2, 99, incident=True)
            X_125 = eval_trilinear_point(model, A, B, C, 'cos(A)*(sin(B - C))**(2)', ID="X_125", classes=["center", "incident"])
            X_141 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) + c**(2))', ID="X_141", classes=["center", "incident"])
            central_line(model, X_125, X_141, 125, 141, incident=True)
            X_625 = eval_trilinear_point(model, A, B, C, '(2*(b**(4) + c**(4) - b**(2)*c**(2)) - a**(2)*(b**(2) + c**(2)))/a', ID="X_625", classes=["center", "incident"])
            X_858 = eval_trilinear_point(model, A, B, C, '(sin(C))**(3)*sin(2*B)*sin(C - A) + (sin(B))**(3)*sin(2*C)*sin(B - A)', ID="X_858", classes=["center", "incident"])
            central_line(model, X_625, X_858, 625, 858, incident=True)
            return promote_point_to_top(model, X_126)


        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_126 on the given reference triangle."""
            model = create_model('X_126 = X_111-OF-MEDIAL-TRIANGLE')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00126(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-00126.json"))
            write_center_svg(
                model_acute,
                here / "x-00126.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X126¶

X₁₂₆¶