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X₃₇₆₉¶

X₃₇₀₅com[T(-bc, b²)]

X₃₇₆₉ (X₃₇₀₅com[T(-bc, b²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3769 = X_3705com[T(-bc, b²)]."""

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


        def construct_x_03769(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3769 = X_3705com[T(-bc, b²)] on reference triangle ABC."""
            X_3769 = eval_barycentric_point(model, A, B, C, '(2*a**(3) + a*b*c - b**(2)*c - b*c**(2))', ID="X_3769", classes=["selected", "target"])
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            X_171 = eval_trilinear_point(model, A, B, C, 'a**(2) + b*c', ID="X_171", classes=["center", "incident"])
            central_line(model, X_75, X_171, 75, 171, incident=True)
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_312 = eval_trilinear_point(model, A, B, C, '(b + c - a)*b**(2)*c**(2)', ID="X_312", classes=["center", "incident"])
            central_line(model, X_31, X_312, 31, 312, incident=True)
            X_333 = eval_trilinear_point(model, A, B, C, 'b*c*(b + c - a)/(b + c)', ID="X_333", classes=["center", "incident"])
            X_612 = eval_trilinear_point(model, A, B, C, 'a**(2) + b**(2) + c**(2) + 2*b*c', ID="X_612", classes=["center", "incident"])
            central_line(model, X_333, X_612, 333, 612, incident=True)
            return promote_point_to_top(model, X_3769)


        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_3769 on the given reference triangle."""
            model = create_model('X_3769 = X_3705com[T(-bc, b²)]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03769(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-03769.json"))
            write_center_svg(
                model_acute,
                here / "x-03769.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3769¶

X₃₇₆₉¶