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X₃₀₄₆¶

INTERSECTION X₅₄X_118∩X₁₀₁X_184

X₃₀₄₆ (INTERSECTION X₅₄X_118∩X₁₀₁X_184) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3046 = INTERSECTION X_54X_118∩X_101X_184."""

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


        def construct_x_03046(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3046 = INTERSECTION X_54X_118∩X_101X_184 on reference triangle ABC."""
            X_3046 = eval_trilinear_point(model, A, B, C, '(a**(3)*(a**(3) + b**(3) - c**(3) - a**(2)*b - a*b**(2) + b*c**(2))*(a**(3) - b**(3) + c**(3) - a**(2)*c - a*c**(2) + b**(2)*c))', ID="X_3046", classes=["selected", "target"])
            X_54 = eval_trilinear_point(model, A, B, C, 'sec(B - C)', ID="X_54", classes=["center", "incident"])
            X_118 = point_from_barycentrics(model, A, B, C, 0.28918651, -0.056547619, 0.76736111, ID="X_118", classes=["center", "incident"])
            central_line(model, X_54, X_118, 54, 118, incident=True)
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center", "incident"])
            central_line(model, X_101, X_184, 101, 184, incident=True)
            X_103 = eval_trilinear_point(model, A, B, C, 'a/((a - b)*cot(C) + (a - c)*cot(B))', ID="X_103", classes=["center", "incident"])
            X_1147 = eval_trilinear_point(model, A, B, C, '(sin(4*A))/sin(A)', ID="X_1147", classes=["center", "incident"])
            central_line(model, X_103, X_1147, 103, 1147, incident=True)
            return promote_point_to_top(model, X_3046)


        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_3046 on the given reference triangle."""
            model = create_model('X_3046 = INTERSECTION X_54X_118∩X_101X_184')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03046(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-03046.json"))
            write_center_svg(
                model_acute,
                here / "x-03046.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3046¶

X₃₀₄₆¶