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X₃₇₉₈¶

X₃₂₃₉com[INVERSE(nT(a², a² - c²))]

X₃₇₉₈ (X₃₂₃₉com[INVERSE(nT(a², a² - c²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3798 = X_3239com[INVERSE(nT(a², a² - 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,
            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_03798(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3798 = X_3239com[INVERSE(nT(a², a² - c²))] on reference triangle ABC."""
            X_3798 = eval_barycentric_point(model, A, B, C, '((b - c)*(b**(2) + c**(2) - 3*a**(2)))', ID="X_3798", classes=["selected", "target"])
            X_239 = eval_trilinear_point(model, A, B, C, 'b*c*(a**(2) - b*c)', ID="X_239", classes=["center", "incident"])
            X_514 = eval_trilinear_point(model, A, B, C, '(b - c)/a', ID="X_514", classes=["center", "incident"])
            central_line(model, X_239, X_514, 239, 514, incident=True)
            X_900 = eval_trilinear_point(model, A, B, C, '(b - c)*(b + c - 2*a)/a', ID="X_900", classes=["center", "incident"])
            X_2487 = eval_trilinear_point(model, A, B, C, '(b*c*(b - c)*((b - c)**(2) + a*b + a*c - 4*a**(2)))', ID="X_2487", classes=["center", "incident"])
            central_line(model, X_900, X_2487, 900, 2487, incident=True)
            X_812 = eval_trilinear_point(model, A, B, C, 'a **(-2)*(b**(1) - c**(1)) + a**(0)*(b **(-1) - c **(-1))', ID="X_812", classes=["center", "incident"])
            X_3676 = eval_barycentric_point(model, A, B, C, '(b - c)/(b + c - a)', ID="X_3676", classes=["center", "incident"])
            central_line(model, X_812, X_3676, 812, 3676, incident=True)
            return promote_point_to_top(model, X_3798)


        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_3798 on the given reference triangle."""
            model = create_model('X_3798 = X_3239com[INVERSE(nT(a², a² - c²))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03798(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-03798.json"))
            write_center_svg(
                model_acute,
                here / "x-03798.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3798¶

X₃₇₉₈¶