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X₃₉₃₅¶

X₁₁₅₅com[INVERSE(n(INTOUCH TRIANGLE))]

X₃₉₃₅ = inverse-in-circumconic-centered-at-X₁ of X₂

X₃₉₃₅ (X₁₁₅₅com[INVERSE(n(INTOUCH TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3935 = X_1155com[INVERSE(n(INTOUCH 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,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            incenter_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03935(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3935 = X_1155com[INVERSE(n(INTOUCH TRIANGLE))] on reference triangle ABC."""
            X_3935 = eval_barycentric_point(model, A, B, C, '(a*(a**(2) + b**(2) + c**(2) - 2*a*b - 2*a*c + b*c))', ID="X_3935", classes=["selected", "target"])
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            central_line(model, X_1, X_2, 1, 2, incident=True)
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_518 = eval_trilinear_point(model, A, B, C, '(a*b + a*c - b**(2) - c**(2))', ID="X_518", classes=["center", "incident"])
            central_line(model, X_100, X_518, 100, 518, incident=True)
            X_44 = eval_trilinear_point(model, A, B, C, 'b + c - 2*a', ID="X_44", classes=["center", "incident"])
            X_765 = eval_trilinear_point(model, A, B, C, '(b - c) **(-2)', ID="X_765", classes=["center", "incident"])
            central_line(model, X_44, X_765, 44, 765, incident=True)
            return promote_point_to_top(model, X_3935)


        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_3935 on the given reference triangle."""
            model = create_model('X_3935 = X_1155com[INVERSE(n(INTOUCH TRIANGLE))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03935(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-03935.json"))
            write_center_svg(
                model_acute,
                here / "x-03935.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3935¶

X₃₉₃₅¶