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X₃₇₆₆¶

X₃₂₅₀com[T(bc, c²)]

X₃₇₆₆ (X₃₂₅₀com[T(bc, c²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3766 = X_3250com[T(bc, c²)]."""

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


        def construct_x_03766(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3766 = X_3250com[T(bc, c²)] on reference triangle ABC."""
            X_660 = eval_trilinear_point(model, A, B, C, '1/((a**(2) - b*c)*(b - c))', ID="X_660", classes=["center"])
            X_3766 = isotomic_conjugate(model, A, B, C, X_660, ID="X_3766", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_665 = eval_trilinear_point(model, A, B, C, 'a*((a - b)**(2)*(a + b - c) - (c - a)**(2)*(c + a - b))', ID="X_665", classes=["center", "incident"])
            central_line(model, X_2, X_665, 2, 665, incident=True)
            X_316 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(4) + c**(4) - a**(4) - b**(2)*c**(2)))', ID="X_316", classes=["center", "incident"])
            X_512 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))', ID="X_512", classes=["center", "incident"])
            central_line(model, X_316, X_512, 316, 512, incident=True)
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            X_900 = eval_trilinear_point(model, A, B, C, '(b - c)*(b + c - 2*a)/a', ID="X_900", classes=["center", "incident"])
            central_line(model, X_75, X_900, 75, 900, incident=True)
            return promote_point_to_top(model, X_3766)


        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_3766 on the given reference triangle."""
            model = create_model('X_3766 = X_3250com[T(bc, c²)]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03766(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-03766.json"))
            write_center_svg(
                model_acute,
                here / "x-03766.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3766¶

X₃₇₆₆¶